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© Nilam Publication Sdn. Bhd.169
MODUL • Fizik TINGKATAN 4
•Menerangkankeseimbanganterma/Explain thermal equilibrium•Menerangkanbagaimanatermometercecair-dalam-kacabekerja
Explain how a liquid–in-glass thermometer works
•Definisimuatanhabatentu(c)/Define specific heat capacity (c)
•Menyatakan/State that c = Q
mθ•Menyelesaikanmasalahberkaitanmuatanhabatentu
Solve problems involving specific heat capacity•Menghuraikanaplikasimuatanhabatentu/Describe applications of specific heat capacity•Menentukanmuatanhabatentucecair/Determine the specific heat capacity of a liquid•Menentukanmuatanhabatentupepejal(blokaluminiumataublokkuprum)
Determine the specific heat capacity of a solid (aluminium block or copper block)
•MenyatakanbahawapemindahanhabasemasaperubahanfasatidakmelibatkanperubahansuhuState that transfer of heat during a change of phase does not cause a change in temperature
•Mentakrifkanhabapendamtentu(L)/Define specific latent heat (L)
•NyatakanL/State that L = Qm
•Menentukanhabapendamtentupelakuran/Determine the specific latent heat of fusion•Menentukanhabapendamtentupengewapan
Determine the specific latent heat of vaporisation•Menyelesaikanmasalahyangmelibatkanhabapendamtentu
Solve problems involving specific latent heat
•Menerangkantekanan,suhudanisipadugasdarisegikelakuanmolekulgasExplain gas pressure, temperature and volume in terms of behaviour of gas molecules
•MenentukanhubunganantaratekanandanisipadupadasuhumalarsuatugasberjisimtetapiaituPV=malarDetermine the relationship between pressure and volume at constant temperature for a fixed mass of gas i.e. PV = constant
•Menentukan hubungan antara isi padu dan suhu pada tekananmalar bagi jisim tetap gas iaituVT =malar
Determine the relationship between volume and temperature at constant pressure for a fixed mass of gas i.e. VT
= constant
•MenentukanhubunganantaratekanandansuhupadaisipadumalarbagisuatugasberjisimtetapiaituPT=pemalar
•Determine the relationship between pressure and temperature at constant volume for a fixed mass of gas i.e. PT
= constant
•Menerangkansifarmutlak/Explain absolute zero•Jelaskanskalamutlak/skalaKelvinbagisuhu
Explain the absolute / Kelvin scale of temperature•Menyelesaikanmasalahyangmelibatkantekanan,suhudanisipadusuatugasberjisimtetap
Solve problems involving pressure, temperature and volume of a fixed mass of gas
HABAHEAT4
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4.1 MEMAHAMI KESEIMBANGAN TERMA/UNDERSTANDING THERMAL EQUILIBRIUM
4.2 MEMAHAMI MUATAN HABA TENTU/UNDERSTANDING SPECIFIC HEAT CAPACITY
4.3MEMAHAMI HABA PENDAM TENTU/UNDERSTANDING SPECIFIC LATENT HEAT
4.4 MEMAHAMI HUKUM-HUKUM GAS/UNDERSTANDING THE GAS LAWS
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MODUL • Fizik TINGKATAN 4
Heat (Q)
Haba membolehkan sesuatu objek menukar suhu atau mengubah keadaan fizikal:Heat makes an object to change its temperature or change its physical state:(a) Jika keadaan fizikal tidak
berubah, suhunya akan berubah
If the physical state is unchanged, the temperature changes
(b) Jika suhu tetap, keadaan fizikal akan berubah
If the temperature is constant, the physical state changes
Pertukaran Unit Suhu:Change Unit of Temperature:θ ºC = (θ + 273) K
Contoh:Example:(i) 0ºC = (0 + 273) K = 273 K(ii) 27ºC = (27 + 273) K = 300 K(iii) 100ºC = (100 + 273) K = 373 K
Ciri-ciri fizikal (sifat termometri) termometer yang berubah dengan haba / suhuPhysical characteristics (Thermometric properties) of thermometer that change with heat/temperature:(a) Termometer berjenis
cecair-dalam-kaca – panjang / isi padu turus merkuri berubah dengan haba
Liquid-in-glass thermometer – the length / volume of mercury column changes with heat
(b) Termometer termogandingan – d.g.e
berubah terhadap haba Thermocouple
thermometer – the e.m.f/current changes with heat
(c) Termometer rintangan – rintangan berubah terhadap haba.
Resistance thermometer – the resistance changes with heat
(d) Termometer gas – tekanan gas berubah
terhadap haba. Gas thermometer – the
gas pressure changes with heat.
Haba, Q/Heat, Q:• Haba adalah suatu bentuk tenaga
Heat is a form of energy• Haba boleh memanaskan atau
menyejukkan objekHeat can heat up or cool down an object
• Untuk mengetahui suatu objek panas atau sejuk, ukur suhu objek tersebutTo know whether an object is hot or cool, measure the temperature of the object
• Haba mengalir dari kawasan panas ke kawasan sejukHeat flows from a hot region to a cool region
• Haba boleh mengubah keadaan fizikal bahanHeat can change the physical state of a substance
Contoh/Example:• Perubahan pepejal kepada cecair
Solid changes to liquid• Unit S.I. bagi haba: Joule(J)
S.I. Unit of heat: Joule(J)
Alat untuk mengukur suhu ialah termometer
The measuring instrument to measure temperature is thermometer
Jenis-jenis termometerTypes of thermometers:(a) Termometer cecair-dalam-kaca Liquid-in-glass thermometer(b) Termometer termogandingan Thermocouple thermometer(c) Termometer rintangan Resistance thermometer(d) Termometer gas Gas thermometer
Jenis termometer cecair-dalam-kacaLiquid-in-glass thermometer:(a) Termometer merkuri/Mercury thermometer(b) Termometer alkohol/Alcohol thermometer
MEMAHAMI KESEIMBANGAN TERMAUNDERSTANDING THERMAL EQUILIBRIUM4.1
Suhu, T/Temperature, T:
• Definisi/Definition:
Ditakrifkan sebagai darjah
kepanasan objek
Is defined as a degree of hotness
of an object
• Unit S.I.: Kelvin(K)
S.I. Unit: Kelvin(K)
• Menukar unit suhu darjah celsius (°C) kepada Kelvin (K)Change unit of temperature from degree celcius (°C) to kelvin (K)
• θ ºC = (θ + 273) K
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Penentukuran Termometer/Themometer Calibration:Termometer Merkuri/Mercury Thermometer:
Perubahan dalam panjang turus merkuri, Δl = l100 – l0The change in length of mercury column, Δl = l100 – l0
Perubahan suhu, ΔT1 = 100 ºC – 0 ºC = 100 ºCThe change in temperature, ΔT1 = 100 ºC – 0 ºC = 100 ºC
Perubahan dalam panjang pada suhu θ = lθ – l0The change in length at temperature θ = lθ – l0
Oleh itu, suhu/ Therefore, the temperature, θ = lθ – l0
l100 – l0 × 100 ºC
Merkuri digunakan dalam termometer kerana:Mercury is used in the thermometer because:
Ciri-ciriCharacteristics
Penerangan Explanation
LegapOpaque
Senang untuk mengambil bacaanEasy to take a reading
Mengembang seragam dengan habaExpands uniformly with heat
Skala seragamUniform scale
Daya lekitan yang tinggiHigh cohesive force
Tidak membasah tiub dan tidak melekat pada dinding kacaDoes not wet the tube and does not stick to the glass wall
Takat didih yang tinggiHigh boiling point
Boleh mengukur suhu yang tinggiCan measure high temperature
Kepekaan termometer boleh ditingkatkan dengan menggunakan:The sensitivity of the thermometer can be increased by using:(a) tiub kapilari yang kecil narrow capillary tube (b) dinding bebuli kaca yang
nipis thin glass wall bulb(c) saiz bebuli yang kecil small bulb(d) skala maksimum
melebihi 200 °C supaya dapat mengukur suhu yang tinggi
the maximum scale is higher than 200 °C so that it can measure higher temperature.
Termometer merkuriMercury thermometer
Air dari aisyang meleburWater from melting ice
AisIce
Takat aisIce point
100 °c0°c
θ
100
0
Kaki retortRetort stand
StimSteam
Penunu BunsenBunsen burner
Takat stimSteam point
Kasa dawaiWire gauzeXxxxxxxxxxxxxxxxxx
Hubungan antara Haba dan SuhuRelationship between Heat and Temperature:
(a) Apabila suatu objek menyerap haba, suhu meningkat .
When an object absorbs heat, the temperature increases .
(b) Apabila suatu objek membebaskan haba, suhu menurun .
When an object releases heat, the temperature decreases .
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Keseimbangan Terma:Thermal Equilibrium:
Apabila dua objek terdapat perbezaan suhu, haba dipindahkan di antara dua objek itu.When there is a temperature difference between two objects, heat is transferred between the two objects.
Objek yang panas membebaskan haba manakala objek yang sejuk menyerap haba sehingga mencapai keseimbangan terma.
The hot object releases heat whereas the cold object absorbs heat until it reaches thermal equilibrium.
Dalam keseimbangan termaAt thermal equilibrium
PanasHot
SejukCold
A B A B
Haba yang dibebaskan = Haba yang diserap (Kadar bersih pemindahan haba adalah SIFAR)Heat released = Heat absorbed (Rate of net heat transferred is ZERO)
Dua objek bersentuhan yang berlainan suhu akan mencapai keseimbangan terma apabila:Two objects in contact with each other but at different temperatures will reach thermal equilibrium when:
(a) kadar bersih haba yang dipindahkan antara dua objek ialah sifar , dan
the net rate of heat transfer between the two objects is zero , and
(b) suhu dua objek itu adalah sama .
the temperature of the two objects is the same .
Pada keseimbangan terma,At thermal equilibrium,
haba yang diserap oleh objek yang sejuk adalah sama dengan haba yang dibebaskan oleh objek yang panas.
the heat absorbed by the cool object is equal to the heat released by the hot object.
Pada keseimbangan terma,Kadar pemindahan tenaga dari A ke B
= Kadar pemindahan tenaga dari B ke A
At thermal equilibrium,Rate of transfer of energy from A to B
= Rate of transfer of energy from B to A
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Aplikasi keseimbangan termaApplications of thermal equilibrium
Untuk menurunkan suhu orang yang demam panasTo bring down the temperature of the person who has high fever
• Tualayangbasahdiletakkanpadadahiorangyangdemampanas.
The wet towel is placed on the forehead of the person who has high fever.
• Duaobjek(tualabasahdandahi) bersentuhan antara satu sama lain.
The two objects (wet towel and forehead) are in contact with each other.
• Tualabasahmempunyaitenagahabayang lebih
rendah berbanding dahi yang mempunyai tenaga
haba yang lebih tinggi .
The wet towel has lower heat energy compared with the
forehead which has higher heat energy.
• Tenagahabadialirkandaridahiketualasehingga
keseimbangan terma tercapai.
Heat energy is transferred from the forehead to the towel until
thermal equilibrium is reached.
Untuk meningkatkan suhu susu yang sejukTo bring up the temperature of cold milk
• Susuibubolehdisimpandalampetiaisdankemudiandiberi kepada bayi.
Breast milk from a mother can be kept in the refrigerator and given to the baby later.
• Sebelumitu,sebotolsusudirendamdidalamsemangkukair panas.Before that, the bottle of milk is immersed in a bowl of hot water.
• Kedua-duaobjek bersentuhan antara satu sama lain.
The two objects are in contact with each other.
• Susudidalambotolmempunyaitenagahabayang
lebih rendah berbanding mangkuk berisi air panas
yang mempunyai tenaga haba yang lebih tinggi .
The milk in the bottle has lower heat energy compared
with the bowl of hot water which has higher heat energy.
• Tenagahabadialirkandariairpanaskesususehingga
keseimbangan terma tercapai.
Heat energy is transferred from the hot water to the milk until
thermal equilibrium is reached.
• Padakeseimbanganterma, kadar bersih haba
dialirkan antara tuala dan dahi ialah sifar .
At thermal equilibrium, the net rate of heat transfer
between the towel and the forehead is zero .
• Suhukedua-duaobjek sama .
The temperature of the two objects is the same .
• Kemudiantualasuamdirendamdenganairpili,tenaga haba dialirkan dari tuala kepada air sehingga keseimbangan terma dicapai lagi. Then the warm towel is immersed and rinsed with tap water. Heat energy is transferred from the towel to the water until thermal equilibrium is reached again.
• Padakeseimbanganterma, kadar bersih haba dialirkan antara mangkuk berisi air panas dan susu di
dalam botol ialah sifar .
At thermal equilibrium, the net rate of heat transfer
between the bowl of hot water and the bottle of milk is zero
.
• Suhukedua-duaobjek sama .
The temperature of the two objects is the same .
• Pada keseimbangan terma, susu dan air akan mempunyai suhu yang lebih rendah daripada suhu awal air panas tetapi lebih tinggi daripada suhu awal susu. At thermal equilibrium, the milk and the water will have a temperature somewhere between their initial temperatures.
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Sup panas di dalam mangkukHot soup inside a bowl
• Suppanasdituangkedalamsatumangkuk./Hot soup is poured into a bowl.
• Selagimangkukmasihtidakterlalupanas,seseorangitumampu memegang mangkuk dengan tangan tanpa lapik. As the bowl is still not too hot, a person may be able to hold the bowl with his
bare hands.
• Tenagahabadialirkandarisupkemangkuksehingga
keseimbangan terma tercapai.
Heat energy is transferred from the hot soup to the bowl until thermal equilibrium is reached.
• Mangkuk bersentuhan dengan sup panas./The bowl is in contact with the hot soup.
• Mangkukitumempunyaitenagahabayang lebih rendah berbanding dengan sup panas yang mempunyai tenaga
haba yang yang tinggi .
The bowl has lower heat energy compared with hot soup which has higher heat energy.
• Padakeseimbanganterma, kadar bersih haba dialirkan antara sup panas dan mangkuk ialah sifar .
At thermal equilibrium, the net rate of heat transfer between the hot soup and the bowl is zero .
• Suhukedua-duaobjek sama .
The temperature of the two objects is the same .
• Beberapaminitkemudian,mangkukdansuppanasmencapaikeseimbangantermapada suhu tertentu .
A few minutes later, the bowl and the hot soup achieve thermal equilibrium at a certain temperature .
• Padamasaitu,seseorangituperlumenggunasehelaikainuntukmemegangmangkukitu.At that time, a person needs to use a piece of cloth to hold the bowl.
1 Panjang turus merkuri pada takat ais dan pada takat stim masing-masing ialah 5.0 cm dan 40.0 cm.
Apabila termometer itu direndam dalam cecair P, panjang turusmerkuri adalah 23.0 cm.Berapakahsuhu cecair P? The lengths of the mercury column at ice point and steam point are 5.0 cm and 40.0 cm respectively. When the thermometer is immersed in liquid P, the length of the mercury column is 23.0 cm. What is the temperature of liquid P?
Suhup/Temperaturep = lθ – l0
l100 – l0 × 100 ºC
= (23.0 – 5.0) cm(40.0 – 5.0) cm
× 100 ºC
= 18.0 cm35.0 cm
× 100 ºC
= 51.43 °C
2 Panjang turus merkuri pada takat stim dan pada takat ais masing-masing ialah 65.0 cm dan 5.0 cm.
Apabila termometer itu direndam dalam cecair Q, panjang turusmerkuri adalah 27.0 cm. Berapakahsuhu cecair Q? The lengths of the mercury column at the steam point and ice point are 65.0 cm and 5.0 cm respectively. When the thermometer is immersed in liquid Q, the length of the mercury column is 27.0 cm.What is the temperature of liquid Q?
θ = (27.0 – 5.0) cm(65.0 – 5.0) cm
× 100 ºC
= 22 cm60 cm
× 100 ºC
= 36.67 ºC
Latihan/Exercises
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3 Jarak pada turus merkuri antara 0 ºC dan 100 ºC adalah 28.0 cm. Apabila termometer itu dimasukkan ke dalam bikar yang berisi air, panjang turus merkuri
adalah24.5cmdiatastitikais.Berapakahsuhuairtersebut?The distance between 0 ºC and 100 ºC on the mercury column is 28.0 cm. When the thermometer is put into a beaker of water, the length of the mercury column is 24.5 cm above the ice point. What is the temperature of the water?
θ = 24.5 cm28.0 cm
× 100 ºC = 87.5 ºC
4 Jarak pada turus merkuri antara 0 ºC dan 100 ºC adalah 25 cm. Apabila termometer diletakkan dalam bikar yang berisi air, panjang turus merkuri adalah 16 cm di atas titik ais.
The distance between 0 ºC and 100 °C on the mercury coloumn is 25 cm. When the thermometer is put into a beaker of water, the length of mercury column is 16 cm above the ice point.
(a) Berapakahsuhuairtersebut?What is the temperature of the water?
(b) Berapakahpanjangturusmerkuridaribebulikaca pada suhu 30 ºC? What is the length of the mercury column from the bulb at 30 ºC?
(a) θ = 16 cm25 cm
× 100 ºC
= 64 ºC
(b) 30 °C = lθ – l0
25 cm × 100 ºC
lθ – l0 = 30 °C × 25 cm
100 °C
= 7.5 cm
1 Muatan haba tentu air ialah 4 200 J kg-1 ºC-1. Specific heat capacity of water is 4 200 J kg-1 ºC-1.2 Ini bermakna untuk 1 kg air meningkat
suhu sebanyak 1 ºC, air perlu 4 200 J haba.
This means that for 1 kg of water, to increase its temperature by 1 ºC, the water needs 4 200 J of heat.
Penerangan menggunakan teori kinetik jirim:Explanation using kinetic theory of matter:• Apabilabahanmenyeraphaba,getaran
atom/molekul sangat kuat. When a substance absorbs heat, the vibrations of atoms/molecules are strong.• Atom/molekulbergerakdenganlaju
yang lebih tinggi. Atoms/molecules move with a higher
speed.• Tenagakinetikatom/molekulmeningkat. The kinetic energy of the atoms/
molecules increases.• Suhubahantersebutmeningkat. The temperature of the substance
increases.• Keadaanfizikalbahantidakberubah. The physical state of matter is
unchanged.
Definisi/Definition:Muatan haba tentu ialah kuantiti haba (Q) yang diperlukan oleh sesuatu bahan berjisim 1 kg untuk menaikkan suhunya sebanyak 1 ºC.The specific heat capacity is the quantity of heat (Q) required by a substance of mass 1 kg to increase its temperature by 1 ºC.
Persamaan/Equation:
Muatan haba tentu, c = Haba (Q)
Jisim (m) × Perubahan suhu (θ)
Specific heat capacity, c = Heat (Q)
Mass (m) × Temperature change (θ)
c = Q
mθ ⇒ Q = mcθ
Unit S.I. bagi c ialah J kg–1 ºC–1
S.I. unit of c is J kg–1 ºC–1
MEMAHAMI MUATAN HABA TENTUUNDERSTANDING SPECIFIC HEAT CAPACITY4.2
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Hubungan antara muatan haba tentu dan perubahan suhu:Relationship between specific heat capacity and temperature change:
• Muatan haba tentu adalah berkadar songsang dengan perubahan suhu.
Specific heat capacity is inversely proportional to the change in temperature.
• Bahandenganmuatanhabatentuyangtinggiakanmempunyaipeningkatansuhuyang kecil .
A material with high specific heat capacity will have a small increase in temperature.
• Ini bermakna bahawa bahan lambat menjadi panas/sejuk.
This means that the material is slow to get hot/cool.
• Contoh: Muatan haba tentu air ialah 4 200 J kg-1 ºC-1
Example: The specific heat capacity of water is 4 200 J kg-1 ºC-1
•Penerangan: Untuk 1 kg air, ia menyerap 4 200 J haba tetapi suhunya meningkat sebanyak 1 ºC.Explanation: For 1 kg of water, it absorbs 4 200 J of heat but the temperature increases by 1 ºC.
• Air menyerap kuantiti haba yang besar tetapi peningkatan suhu adalah kecil .
Water absorbs a big quantity of heat but the temperature increased is small .
• Air bertindak sebagai agen penyejuk bagi enjin kereta.Water acts as cooling agent in a car engine.
• Bahanyangmempunyaimuatanhabatentuyangrendahakanmengalamipeningkatansuhuyang
besar .
Materials with low specific heat capacity will have a large increase in temperature.
• Ini bermaksud bahan mudah menjadi panas/sejuk.
This means that the material easily gets hot/cool.
• Contoh: Muatan haba tentu kuprum ialah 390 J kg-1 ºC-1
Example: Specific heat capacity of copper is 390 J kg-1 ºC-1
•Penerangan: Untuk 1 kg kuprum, ia menyerap 390 J haba tetapi suhu meningkat sebanyak 1 ºC.Explanation: For 1 kg of copper, it absorbs 390 J of heat but the temperature increases by 1 ºC.
• Kuprum menyerap kuantiti haba yang kecil tetapi peningkatan suhu adalah tinggi.
Copper absorbs a small quantity of heat but the temperature increase is high.
• Kuprum digunakan sebagai elemen pemanas.Copper is used as a heating element.
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(1) Air sebagai penyejuk dalam enjin kereta Water as coolant in a car engine
Air mempunyai muatan haba tentu yang besar .
Water has a large specific heat capacity.
Ia boleh menyerap jumlah tenaga yang besar tetapi suhu yang meningkat adalah kecil.
It can absorb a large amount of heat but the increase in temperature is small.
Ia boleh menyejukkan pembakaran dalam enjin seperti enjin kereta.It can cool down internal combustion engines such as the car engine.
Kipasradiator
Radiator fan
Aliran air memasuki enjinWater enters the engine
Air dipam melaluipam airWater is circulated bythe water pump
Udara masuk melaluikipas radiatorAir drawn in by theradiator fan
Haba hilang dari sirippenyejuk ke persekitaranHeat is lost from the cooling �ns to the surroundings
Haba yang dihasilkan dari pembakaran dalam silinder dipindahkan ke airHeat generated from the combustion in the cyclinders is transferred to the water
Aplikasi muatan haba tentu:Applications of specific heat capacity:
1 Air sebagai penyejuk dalam enjin keretaWater as coolant in a car engine
2 BayulautSea Breeze
3 BayudaratLand Breeze
4 Periuk memasakCooking pot
5 Periuk tanah liatClay pot
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(2) Bayu laut/Sea breeze
Darat (pepejal) mempunyai muatan haba tentu yang rendah berbanding dengan laut (cecair).Land (solid) has a low specific heat capacity compared to the sea (liquid).
Pada waktu siang, darat menjadi panas lebih cepat berbanding laut.
In the day time, land gets hot faster than the sea.
Maka udara panas di darat yang mempunyai ketumpatan rendah akan bergerak naik ke atas membentuk
kawasan daratan yang bertekanan rendah .
Therefore, hot air on the land that has low density will rise up and produces low pressure region on the land.
Udara sejuk di laut yang mempunyai ketumpatan tinggi dan bertekanan tinggi akan bertiup ke darat.
The cool air on the sea that has high density and high pressure will blow towards the land.
(3) Bayu darat/Land breeze
Darat (pepejal) mempunyai muatan haba tentu yang rendah berbanding dengan laut (cecair).Land(solid) has a low specific heat capacity compared to the sea (liquid).
Pada waktu malam, darat menjadi sejuk lebih cepat berbanding laut.
In the night time, land cools down faster than the sea.
Udara panas di laut yang mempunyai ketumpatan rendah akan bergerak naik ke atas dan menghasilkan
kawasan bertekanan rendah .
The hot air on the sea that has low density will rise up and produce a low pressure region.
Udara sejuk di darat yang mempunyai ketumpatan tinggi dan bertekanan tinggi akan bertiup ke laut.
The cool air on the land that has high density and high pressure will blow towards the sea.
Udara panasHot air
Udara sejukCool air
Waktu siangDay time
Laut/SeaDarat/Land
Udara panasHot air
Waktu malamNight time
Udara sejukCool air
Laut/SeaDarat/Land
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(4) Periuk memasak Cooking pot
Tapak/Base
• Diperbuatdaripada keluli .
Made of steel .
• Muatanhabatentu rendah . Ia cepat panas dan boleh memasak makanan dengan cepat. Low specific heat capacity. It becomes hot very
quickly and enables quick cooking of the food in the pot.
• Ketumpatan tinggi , tapak yang berat menyebabkan ia lebih stabil dan tidak jatuh dengan senang. High density, the heavy base ensures that the pot is
stable and will not topple over easily.
Pemegang/Handle
• Pemegangdiperbuatdaripadabahansintetik.Handle is made of synthetic material.
• Muatanhabatentu tinggi , ia tidak akan menjadi panas apabila haba diserap. High specific heat capacity. It will not become too hot when
heat is absorbed.
• Konduktorhaba lemah , sangat sedikit haba dipindahkan kepada tangan seseorang yang mengangkat periuk itu. Poor conductor of heat, very little heat from the
pot is transferred to the hand of the person holding the pot.
Bekas/Body
• Bekasaluminium. Aluminium body.
• Muatan haba tentu rendah , maka ia cepat menjadi panas. Low specific heat capacity, so it becomes hot quickly.
• Ketumpatan rendah , maka ianya sangat ringan. Low density so it is very light.
• Tidak bertindak balas dengan makanan di dalamnya.
• Doesnot react with the food in the pot.
(5) Periuk tanah liat/Clay pot
• Tanahliatmempunyaimuatanhabatentu
lebih tinggi berbanding besi.
Clay has a larger specific heat capacity than metal.
• Semasamemasak, haba dialirkan
perlahan dari api ke makanan di dalam periuk.
During cooking, heat is conducted
slowly from the fire to the food inside the
pot.
• Masamemasakmakanan lama .
A longer cooking time is needed to cook
the food.
• Selepasapidipadam,periuktanahliatmempunyai suhu yang lebih tinggi berbanding makanan di dalamnya.
After the flame is switched off, the clay pot is at
higher temperature than the food inside it.
• Sejumlahbesar haba masih terus dialirkan kepada makanan itu.
A considerable amount of heat continues
to be transferred into the food.
• Selepasperiuktanahliatitudialihkandaripadaapi, makanan di dalam periuk terus mendidih dalam masa beberapa minit. The food inside continues to boil for a few minutes after the clay pot has been removed from the fire.
BekasBody
TapakBase
PemegangHandle
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Tujuan Aim
Untuk menentukan muatan haba tentu aluminium.
To determine the specific heat capacity of aluminium.
Untuk menentukan muatan haba tentu air.
To determine the specific heat capacity of water.
Senarai radas dan bahanList of apparatus and materials
Blok aluminium, kertas tisu, helaian polisterina,minyak, pemanas rendam, termometer, bekalan kuasa, neraca tuas dan jam randikAluminium block, tissue paper, polystyrene sheet, oil, immersion heater, thermometer, power supply, lever balance and stopwatch.
Cawan polisterina, air, pemanas perendam, termometer, bekalan kuasa, pengacau, neraca tuas atau penimbang elektronik dan jam randik.Polystyrene cup, water, immersion heater, thermometer, power supply, stirrer, lever balance or electronic balance and stopwatch.
Susunan radasArrangement of the apparatus
TermometerThermometer
Blok aluminiumAluminium block
Lubang diisi denganminyak untukmeningkatkan konduksiHole �lled withoil to increasethermal conductivity
PemanasHeater
Bekalan kuasaPower supply
Blok kayuWooden block
AirWater
Bekalan kuasaPower supply
PemanasHeater
TermometerThermometer
Kertas tisuTissue paper
Jam randikStopwatch
SilinderpenyukatMeasuringcyclinder
39
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6
Prosedur Procedure
1. Jisim blok aluminium, m, ditentukan
dengan menggunakan neraca tuas.
The mass of the aluminium block, m is
determined using the lever balance.
2. Suhu awal blok aluminium, θ1 direkodkan.
The initial temperature of the aluminium block, θ1,
is recorded.
3. Pemanas dihidupkan dan pada masa yang sama
jam randik dimulakan. / The heater is switched
on and the stopwatch is started simultaneously.
4. Pemanas ditutup selepas 10 minit.
The heater is switched off after 10 minutes.
5. Suhu tertinggi, θ2, direkodkan.
The highest temperature, θ2, is recorded.
1. Cawan diisikan dengan air, berjisim m.
(contoh, m = 150 g)./The cup is filled with
water of mass, m (example, m = 150 g).
2. Suhu awal air, θ1, direkodkan.
The initial temperature of the water, θ1, is recorded.
3. Pemanas dihidupkan dan pada masa yang sama
jam randik dimulakan. / The heater is switched
on and the stopwatch is started simultaneously.
4. Air dikacau berterusan.
The water is stirred continuously.
5. Pemanas ditutup selepas 10 minit.
The heater is switched off after 10 minutes.
6. Suhu tertinggi, θ2, direkodkan.
The highest temperature, θ2, is recorded.
Penjadualan dataTabulate the data
Kuasa pemanas, P/Power of the heater, P
= WJisim blok aluminium, mMass of aluminium block, m
= gSuhu awal, θ1 /Initial temperature, θ1
= °CSuhu akhir, θ2 /Final temperature, θ2
= °C
Kuasa pemanas, P/Power of the heater, P
= WJisim air, mMass of water, m
= gSuhu awal, θ1 /Initial temperature, θ1
= °CSuhu akhir, θ2 /Final temperature, θ2
= °C
Untuk menentukan muatan haba tentu pepejal dan cecairTo determine the specific heat capacity of a solid and a liquid
EksperimenExperiment
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Analisis dataAnalysis of the data
Pengiraan muatan haba tentu aluminium, c:Calculation of specific heat capacity of aluminium, c: Q = mcθ Pt = mc(θ2 – θ1)
∴ c = Pt
m(θ2 – θ1)
Pengiraan muatan haba tentu air, c:Calculation of specific heat capacity of water, c: Q = mcθ Pt = mc(θ2 – θ1)
∴ c = Pt
m(θ2 – θ1)
1 Sebuah blok logam berjisim 2 kg. Hitungkan jumlah haba yang mesti dipindahkan kepada logam
untuk meningkatkan suhu dari 30 ºC kepada 70 ºC. (Muatan haba tentu logam = 500 J kg-1 ºC-1)
A metal block has a mass of 2 kg. Calculate the amount of heat that must be transferred to the metal to raise its temperature from 30 ºC to 70 ºC (Specific heat capacity of the metal = 500 J kg-1 ºC-1)
Penyelesaian/Solution: Q = mcθ = (2 kg) × (500 J kg–1°C–1) × (70 – 30)°C = (2 × 500 × 40) J = 40 000 J
2 8.4 × 105 J tenaga haba meningkatkan suhu 4 kg air dari 40 ºC hingga 90 ºC. Berapakahmuatan habatentu air tersebut?8.4 × 105 J of heat energy raises the temperature of4 kg of water from 40 ºC to 90 ºC. What is the specific heat capacity of the water?
Penyelesaian/Solution:
c = Q
mθ
= (8.4 × 105) J
4 kg × (90 – 40)°C
= 4 200 J kg-1 ºC-1
3 0.2 kg air pada suhu 100 ºC dicampur dengan 0.25 kg air pada suhu 10 ºC. Berapakah suhu tertinggiyang dicapai oleh campuran tersebut?0.2 kg of water at 100 ºC is mixed with 0.25 kg of water at 10 ºC. What is the maximum temperature reached by the mixture? Penyelesaian/Solution: Haba yang dibebaskan = Haba yang diserapHeat released = Heat absorbed
(0.2 kg)(ca)(100 – θ)°C = (0.25 kg)(ca)(θ – 10)°C 20 – 0.2 θ = 0.25θ – 2.5 20 + 2.5 = 0.25θ + 0.2θ 22.5 = 0.45 θ
θ = 22.50.45
= 50 ºC
di mana/where ca = muatan haba tentu air specific heat capacity of water
4 Sebuah 2 kW, 240 V pemanas elektrik digunakan untuk memanaskan 3 kg air. Jika kuasa dibekalkan
selama 8 minit, berapakah peningkatan suhu air tersebut? (Muatan haba tentu air adalah 4 200 J kg-1 ºC-1)
A 2 kW, 240 V electric heater is used to heat up 3 kgof water. If the power is supplied for 8 minutes, whatis the increase in temperature of the water? (The specific heat capacity of water is 4 200 J kg-1 ºC-1)
Penyelesaian/Solution: Pt = mcθ (2 000 W)(8 × 60 s) = 3 kg × 4 200 J kg–1°C–1 × θ
θ = (2 × 103 × 8 × 60) J
3 × 4 200 J °C–1
= 76.2 ºC
5 Sebuah pemanas rendam 1.2 kW digunakan untuk meningkatkan 0.2 kg air dalam bekas kuprum berjisim 0.05 kg. Kirakan masa yang diambil agar suhu air dan bekas dinaikkan sehingga 20 °C.
(Muatan haba tentu air, ca = 4 200 J kg-1 °C-1). (Muatan haba tentu kuprum, ck = 400 J kg-1 °C-1)
A 1.2 kW immersion heater is used to raise the temperature of 0.2 kg water in a copper container of mass 0.05 kg. Calculate the time taken so that the temperature of the water and the container is increased by 20 °C. (The specific heat capacity of water, ca = 4 200 J kg-1 °C-1)(The specific heat capacity of copper, ck = 400 J kg-1 °C-1)
Penyelesaian/Solution: Pt = mcθ (1.2 × 103 W) × t = macaθ + mkckθ (1 200 W) × t = θ (maca + mkck) = 20°C [(0.2 kg × 4 200 J kg–1 °C–1
+ (0.05 kg × 400 J kg °C–1)]
t = 17 200 J
1 200 J s–1
= 14.33 s
KBAT
KBAT
KBAT
Latihan/Exercises
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Graf Pemanasan Suhu-masa / Temperature-time Heating Graph
Haba boleh menyebabkan objek:Heat can make an object:(i) berubah suhu, θ atau change in
temperature,θ or(ii) berubah keadaan
fizikal change its physical
state
Graf pemanasan (Haba diserap)Heating graph (Heat is absorbed):
PerubahanChanges
MalarConstant
PersamaanEquation
Suhu meningkat, θTemperatureincrease, θ
Keadaan fizikalPhysical state
Q = mcθ
Keadaan fizikalPhysical state
SuhuTemperature
Q = mL
Pada QR dan ST, keadaan fizikal berubah tetapi suhu adalah tetap:At QR and ST, the physical states change but the temperature is constant:
• Habadiserapdigunakanuntukmemecahkan ikatan antara atom/molekul.
The heat absorbed is used to break the bonds between the atoms/molecules.
• Keadaanfizikal berubah . / The physical state changes .
• Tenagakinetikatom/molekul tidak berubah .
The kinetic energy of the atoms/molecules remains unchanged .
• Suhu tetap . / The temperature is constant .
Pada PQ, RS dan TU, suhu menaik tetapi keadaan fizikal tidak berubah:At PQ, RS and TU, the temperature increases but the physical states are unchanged:
• Habayangdiserapdigunakanuntuk meningkatkan tenaga kinetik atom/molekul.
The heat absorbed is used to increase the kinetic energy of the atoms/molecules.
• Suhu meningkat .
The temperature increases .
• Ikatanantaraatom/molekul tidak terputus .
The bonds between atoms/molecules do not break .
• Keadaanfizikal tidak berubah .
The physical state is unchanged .
Suhu/°CTemperature/°C
Haba/Heat, Q4 = mL
Masa/sTime/sHaba/Heat, Q2 = mL
P
Q0
ST
U
R
Pepejal + CecairSolid + Liquid
PepejalSolid
Cecair + GasLiquid + Gas
CecairLiquid
GasGas
1Haba/Heat, Q1 = mc 1θ
θ
3Haba/Heat, Q3 = mc 3θ
θ
5Haba/Heat, Q5 = mc 5θ
θ
MEMAHAMI HABA PENDAM TENTU (L)UNDERSTANDING SPECIFIC LATENT HEAT (L)4.3
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Jenis Haba Pendam Tentu, L/Types of Specific Latent Heat, L
Haba Pendam Tentu Pengewapan (Lv)Specific Latent Heat of Vaporisation (Lv)
Definisi/DefinitionHaba (Q) yang diperlukan untuk menukarkan cecair berjisim 1 kg kepada wap pada takat didih.Heat (Q) required to change 1 kg of liquid to vapour at its boiling point.
Air / Water Stim/Wap / Steam Persamaan/Equation: Haba pendam tentu, Lv =
Haba (Q)Jisim (m)
Specific latent heat, Lv = Heat (Q)
Mass (m)
Lv = Qm
⇒ Q = mLv
Unit S.I. bagi Lv ialah J kg-1
S.I. unit of Lv is J kg-1
Haba Pendam Tentu Pelakuran (Lf)Specific Latent Heat of Fusion (Lf)
Definisi/DefinitionHaba (Q) yang diperlukan untuk mengubah pepejal berjisim 1 kg kepada cecair pada takat lebur.Heat (Q) required to change 1 kg of solid to liquid at its melting point.
Persamaan/Equation:
Haba pendam tentu, Lf = Haba (Q)Jisim (m)
Specific latent heat, Lf = Heat (Q)
Mass (m)
Lf = Q
m ⇒ Q = mLf
Unit S.I. bagi Lf ialah J kg-1
S.I. unit of Lf is J kg-1
Penerangan menggunakan Teori Kinetik jirim:Explanation using Kinetic Theory of matter:• Apabilabahanmenyeraphaba, getaran atom/molekul adalah kuat. When a substance absorbs heat, the
vibrations of atoms/molecules are strong.
• Ikatanantaraatom/molekulmenjadilemah.
The bonds between atoms/molecules become weak.
• Atom/molekuldengantenagayangtinggi boleh memecahkan ikatan dan mengubah kepada keadaan fizikal yang baru.
Atoms/molecules with very high energy can break the bonds and change to a new physical state.
• Keadaanfizikalbahanberubah. The physical state of matter changes.• Tenagakinetikatom/molekultidak
berubah. The kinetic energy of the atoms/
molecules is unchanged.• Suhutetap/tidakberubah. The temperature is constant.
Pelakuran – proses di mana pepejal berubah kepada cecair apabila haba diserapFusion – A process where solid changes to liquid when heat is absorbed.
Pengewapan – proses di manacecair berubah kepada wapapabila haba diserap Vaporisation - A process where liquid changes to gas when heat is absorbed.
Haba Pendam Tentu / Specific Latent HeatDefinisi/Definition:Haba pendam tentu (Q) ialah kuantiti haba yang diperlukan untuk mengubah bahan berjisim 1 kg dari satu keadaan fizikal kepada keadaan fizikal yang lain pada suhu yang tetap.Specific latent heat (Q) is the quantity of heat required to change 1 kg of a substance from one physical state to another physical state at constant temperature.
Persamaan/Equation:
Haba pendam tentu, L = Haba (Q)Jisim (m)
/ Specific latent heat, L = Heat (Q)Mass (m)
L = Qm
⇒ Q = mL
Unit S.I. bagi L ialah J kg–1
S.I. unit of L is J kg–1
Perubahan keadaan fizikal (Proses pemanasan):Change of physical state (Heating process):
Jenis Haba Pendam Tentu:Types of Specific Latent Heat:(i) Haba pendam tentu pelakuran (Lf) Specific latent heat of fusion (Lf)(ii) Haba pendam tentu pengewapan (Lv) Specific latent heat of vaporisation (Lv)
CecairLiquid
Pepejalsolid
GasGas
PengewapanVaporisation
PelakuranFusion
AisIce
AirWater
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Aplikasi haba pendam tentuApplication of specific latent heat
• Airmempunyaihabapendamtentupengewapan besar .
Water has a large specific latent heat of vaporisation.
• Olehitu,iamemerlukantenagahabayang banyak untuk meruap.
So it needs more heat to vaporise.
• Jikastimdariperiuksupyangmendidih mengkondensasi menjadi
air di atas lengan, kuantiti haba pendam yang besar dibebaskan.
If the steam from a pot of boiling soup condenses to water on the skin of
our arm, a very large amount of latent heat of vaporisation is released
.
• Iabolehmemberikesanmelecuryangbahaya. It can give us a serious scalding.
• Minumanbolehdisejukkandenganmenambahbeberapaketulanais.Drinks can be cooled by adding in several cubes of ice.
• Apabilaaismencair, haba pendam pelakuran diserap dari minuman.
When the ice is melting, the latent heat of fusion is
absorbed from the drinks.
• Kuantiti haba diperlukan untuk menukarkan beberapa ketulan ais
kepada fasa cecair .
The amount of heat required to change the several cubes of ice to
liquid phase.
• Tanpaperubahan suhu ais.
Without change in temperature of ice.
• Suhuminuman menurun .
The temperature of the drinks is lowered .
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• Apabilakitaterlibatdalamaktiviti-aktivitiberat,peluhmenyejukkanbadankita.
When we are engaged in strenuous activities, sweating cools our bodies.
• Peluh menyejat dan haba dari badan dibebaskan
sebagai haba pendam pengewapan .
The sweat evaporates and the body heat is removed as the
latent heat of vaporisation .
• Menyebabkansuhubadankita menurun .
Thus our body temperature decreases .
• Kuantiti haba yang besar diperlukan untuk menukar air kepada stim.
A large quantity of heat is required to change water into steam.
• Menggunakanprinsipkeabadiantenagaiaitukuantiti
haba yang besar akan dibebaskan apabila stim
mengkondensasi menjadi air.
Using of principle of conservation of energy that a large quantity of
heat will be released when steam condenses to water.
• Makanansepertikek,telur,ikan,paudanlain-lain
menerima kuantiti tenaga yang besar apabila
haba pendam pengewapan stim dibebaskan daripada stim yang terkondensasi.
Food such as cakes, eggs, fish, buns and others receive a large amount of
energy when the latent heat of vaporisation of steam released from condensing steam.
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TujuanAim
Untuk menentukan haba pendam tentu
pelakuran ais.
To determine the specific latent
heat of fusion of ice.
Untuk menentukan haba pendam tentu
pengewapan air.
To determine the specific latent
heat of vaporisation of water.
Pemboleh ubahVariables
Pemboleh ubah dimanipulasi:Manipulated variable:Haba yang dibekalkan, Q
Heat supplied, Q
Pemboleh ubah bergerak balasResponding variable:Jisim ais yang cair, m
Mass of ice that melts, m
Pemboleh ubah dimalarkanFixed variable:Tempoh pemanasan, t
Period of heating, t
Pemboleh ubah dimanipulasi:Manipulated variable:Haba yang dibekalkan, Q
Heat supplied, Q
Pemboleh ubah bergerak balasResponding variable:Jisim air yang telah diwapkan, m
Mass of water which has vaporised, m
Pemboleh ubah dimalarkanFixed variable:Tempoh pemanasan, t
Period of heating, t
Senarai radas dan bahanList of apparatus and materials Bikar A
Beaker A Bikar BBeaker B
Pemanas elektrikElectrical heater
Bekalan kuasaPower supply
AisIce
AisIce
Bekalan kuasaPower supply
Neraca tuasLever balance
PemanasHeater
Menentukan haba pendam tentu pelakuran ais dan haba pendam tentu pengewapan aisTo determine the specific latent of fusion of ice and specific latent vaporisation of water
EksperimenExperiment
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ProsedurProcedure
1. Radas B digunakan sebagai kawalan.
Apparatus B is used as a control.
2. Pemanas disediakan dan disambung seperti
ditunjukkan dalam rajah.
The heater is set up and connected as shown in
the diagram.
3. Litar ditutup dan jam randik dimulakan
serentak.
The circuit is closed and the stopwatch is started
simultaneously.
4. Air yang turun dari penapis corong
dikumpul dalam bikar A dan B.
Water which drips from the filter funnels is
collected in beakers A and B.
5. Pemanas dan jam randik diberhentikan
serentak selepas t = 3 minit
The heater and the stopwatch are switched off
simultaneously after t = 3 minutes
6. Jisim air dalam kedua-dua bikar diukur.
The mass of the water in both beakers is
measured.
1. Pemanas dengan kuasa, P disambungkan
kepada bekalan kuasa.
A heater with power, P is connected to the power
supply.
2. Tuang air ke dalam bikar sehingga hampir
penuh./Pour water into a beaker until it is
almost full.
3. Litar ditutup.
The circuit is closed.
4. Apabila air mula mendidih, bacaan neraca
tuas, m1, direkodkan dan jam randik juga
dimulakan serentak.
When the water starts to boil, the reading
on the lever balance, m1, is recorded and
the stopwatch is started simultaneously.
5. Selepas t = 4 minit, jam randik
diberhentikan dan jisim terakhir air, m2
direkodkan.
After t = 4 minutes, the stopwatch is stopped
and final mass of the water, m2 is recorded.
Penjadualan dataTabulate the data
Kuasa pemanas, P = WPower of the heater, P = W
Masa pemanasan, t = sTime of heating, t = s
Jisim air dalam bikar A, mA = gMass of water in beaker A, mA = g
Jisim air dalam bikar B, mB = gMass of water in beaker B, mB = g
Jisim air dari ais yang mencair oleh pemanas, m = mA– mB = gMass of water from the ice melted by the heater, m = mA – mB = g
Kuasa pemanas, P = WPower of the heater, P = W
Masa pemanasan, t = sTime of heating, t = s
Jisim air dalam bikar, m1 = ………….. gInitial mass of water, m1 = g
Jisim terakhir air, m2 = gFinal mass of water, m2 = g
Jisim air yang telah diwapkan, m = m1 – m2 = gMass of water that has vaporised, m = m1 – m2 = g
Data dianalisisAnalysis the data
Kirakan haba pendam tentu pelakuran ais, Lf:Calculation of specific latent heat of fusion of ice, Lf :
Q = mLf
Pt = mLf
Lf = Ptm
Unit, Lf ialah J kg–1
The unit of Lf is J kg–1
Kirakan haba pendam tentu pengewapan air, LV:Calculation of specific latent heat of vaporisation of water, Lv: Q = mLV
Pt = mLV
LV = Ptm
Unit, Lv ialah J kg–1
The unit of Lv is J kg–1
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1 Berapakah kuantiti haba yang diperlukan untukmencairkan 2.0 kg ais pada 0 ºC? (Haba pendam tentu pelakuran ais = 3.34 × 105 J kg-1) What is the quantity of heat required to melt 2.0 kg ice at 0 ºC? (The specific latent heat of fusion of ice = 3.34 × 105 J kg-1)
Penyelesaian/Solution: Q = mLf
= (2.0 kg) × (3.34 × 105 J kg–1) = 6.68 × 105 J
2 Berapakah tenaga harus dialihkan dari 4.0 kg airpada 20 ºC untuk menghasilkan ais pada 0 ºC?How much energy has to be removed from 4.0 kg of water at 20 ºC to produce a block of ice at 0 ºC?
[Muatan haba tentu air = 4.2 × 103 J kg-1 ºC-1, haba pendam tentu pelakuran ais = 3.34 × 105 J kg-1][Specific heat capacity of water = 4.2 × 103 J kg-1 ºC-1,specific latent heat of fusion of ice = 3.34 × 105 J kg-1]
Air/Water20 °C
mcθ
Air/Water0 °C
mLf
Ais/Ice0 °C
Jumlah tenaga haba/Total heat energy= mcθ + mLf
= [(4.0 kg) × (4.2 × 103 J kg–1°C–1) × (20 – 0)°C] + [(4 kg) × (3.34 × 105 J kg–1)]= 3.36 × 105 J + 13.36 × 105 J= 16.72 × 105 J = 1.672 × 106 J
3 Sebuah elektrik pemanas 800 W digunakan untuk memanaskan air. Berapakah masa yangdiperlukan untuk mengurangkan air sebanyak 4 kg
selepas air mencapai takat didih? [Haba pendam tentu pengewapan air = 2.26 × 106 J kg-1]
A 800 W electric heater is used to boil water. What is the time required to reduce the mass of water by 4 kg after the water has reached its boiling point?[Specific latent heat of vaporisation of water = 2.26 × 106 J kg-1]
Penyelesaian/Solution:
Tenaga elektrik yang dibekalkanElectric energy provided
= Tenaga haba yang diterimaHeat absorbed
Pt = mLv
(800 W) t = 4 kg × 2.26 × 106 J kg–1
t = (4 × 2.26 × 106) J
800 J s–1
= 1.13 × 104 s
4 Kirakan haba yang diperlukan untuk menukar 4 kg ais pada –15 ºC kepada stim pada 100 ºC.Calculate the heat required to convert 4 kg of ice at –15 ºC to steam at 100 ºC.
[Muatan haba tentu ais/Specific heat capacity of ice = 2.1 × 103 J kg-1 ºC-1, Muatan haba tentu air/Specific heat capacity of water = 4.2 × 103 J kg-1 ºC-1, haba pendam tentu pelakuran ais specific latent heat of fusion of ice = 3.34 × 105 J kg-1 dan/and haba pendam tentu pengewapan air
specific latent heat of vaporisation of water
= 2.26 × 106 J kg-1]
Penyelesaian/Solution:
Ais/Ice–15 °C
miciθi
Ais/Ice0 °C
mLf
Air/Water0 °C
mwcwθw
Air/Water100 °C
mLv
Stim/Steam100 °C
Jumlah tenaga habaTotal heat energy
= miciθi + mLf + mwcwθw + mLv
miciθi = (4 kg) × (2.1 × 103 J kg–1°C–1) × (15°C) = 1.26 × 105 JmLf = (4 kg) × (3.34 × 105 J kg–1) = 1.336 × 106 Jmwcwθw = (4 kg) × (4.2 × 103 J kg–1°C–1) × (100°C) = 1.68 × 106 JmLv = (4 kg) × (2.26 × 106 J kg–1) = 9.04 × 106 J
∴ Jumlah tenaga haba/Total heat energy= (1.26 × 105 J) + (1.336 × 106 J) + (1.68 × 106 J) + (9.04 × 106 J)= 1.218 × 107 J
KBAT
KBAT
Latihan/Exercises
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UNIT
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MODUL • Fizik TINGKATAN 4
Penerangan Menggunakan Teori Kinetik JisimExplanation Using Kinetic Theory of Matter
Kuantiti/Quantity Penerangan/Explanation
Jisim (m)Mass (m)
Jumlah jirim dalam bekas yang tertutup, jumlah jirim adalah tetap. Jisim adalah malar.Amount of matter is in a closed container, the amount of matter is constant.The mass is constant.
Isi padu (V)Volume (V)
Isi padu gas adalah sama dengan isi padu bekas. Volume of gas is equal to the volume of container.
Tekanan (P)Pressure (P)
Kadar perlanggaran antara molekul-molekul gas dengan dinding bekas. Apabila kadar perlanggaran antara molekul gas dengan dinding bekas bertambah, tekanan gas juga bertambah. Rate of collision between the gas molecules and the walls of the container. When the rate of collisions between gas molecules and the walls of the container increases, the gas pressure also increases.
Suhu (T)Temperature (T)
Apabila molekul-molekul gas bergerak dengan halaju tinggi, tenaga kinetik bertambah, maka suhu gas juga bertambah.Kinetic energy of the gas molecules. When the gas moves at a higher speed, the kinetic energy increases; so the gas temperature also increases.
Hukum-hukum gas/Gas Laws:4 kuantiti fizikal yang berkaitan:The 4 physical quantities involved are:(i) Jisim (m) – sentiasa tetap dengan menggunakan bekas
tertutup Mass (m) – always kept constant by using a closed container(ii) Tekanan (P) Pressure (P)(iii) Isi padu (V) Volume (V)(iv) Suhu mutlak (T) Absolute temperature (T)
boleh berubahcan change
3 Hukum gas3 gas laws
HukumBoyleBoyle’s Law
Hukum CharlesCharles’ Law
Hukum tekananPressure Law
5 Sebuah blok pepejal 0.5 kg dipanaskan oleh pemanas elektrik 100 W. Graf menunjukkan bagaimana suhu berubah dengan masa. 0.5 kg of a solid block is heated by a 100 W heater. The graph shows how the temperature varies with time.
Suhu
/Tem
pera
ture
/ °C
Masa/Time / s0
0
20
40
60
80
100
100 200 300 400 500 600 700 800 900 10001100
Hitungkan haba pendam tentu pelakuran pepejal itu.Calculate the specific latent heat of fusion of the solid.
Penyelesaian/Solution: Pt = mLf
(100 W) × (1 050 – 300)s = 0.5 kg × Lf
Lf = 75 000 J0.5 kg
= 1.5 × 105 J kg–1
MEMAHAMI HUKUM-HUKUM GASUNDERSTANDING THE GAS LAWS4.4
KBAT
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UNIT
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MODUL • Fizik TINGKATAN 4
Huk
um C
harl
es/C
harl
es’
Law
:(m
& P
– p
emal
ar/c
onst
ant:
V ∝
T)
V 1 , T
1V 2 ,
T2
Hab
a/H
eat
(i)
Pene
rang
an
men
ggun
akan
Teo
ri
Kin
etik
Ji
rim
:
Exp
lana
tion
usin
g K
inet
ic T
heor
y of
Mat
ter:
A
pabi
la g
as d
ipan
aska
n, s
uhu
akan
men
ingk
at
. (T
2 >
T 1)
W
hen
the
gas
is h
eate
d, te
mpe
ratu
re in
crea
ses
. (T 2
> T
1)
Is
i pa
du g
as j
uga
ber
tam
bah
men
yeba
bkan
ka
dar
perl
angg
aran
m
olek
ul g
as d
enga
n
dind
ing
beka
s t
idak
ber
ubah
.
The
volu
me
of t
he g
as a
lso
i
ncre
ases
t
o ke
ep t
he
rate
of
colli
sion
b
etw
een
the
gas
mol
ecul
es a
nd t
he
wal
ls o
f th
e co
ntai
ner
is
con
stan
t
.
Te
kana
n ga
s ad
alah
t
etap
.
Th
e ga
s pr
essu
re i
s
con
stan
t
.
T 2 >
T1
dan/
and
V2
> V
1
(ii)
Pe
rnya
taan
/Sta
tem
ent:
H
ukum
Cha
rles
men
yata
kan
baha
wa
untu
k jis
im
gas
yang
tet
ap,
isi
padu
gas
ber
kada
r la
ngsu
ng
deng
an s
uhu
mut
lakn
ya j
ika
teka
nan
gas
itu
adal
ah t
etap
.
Cha
rles
' La
w s
tate
s th
at f
or a
fix
ed m
ass
of g
as,
the
volu
me
of th
e ga
s is
dir
ectly
pro
port
iona
l to
the
abso
lute
tem
pera
ture
of
the
gas
if th
e pr
essu
re i
s ke
pt c
onst
ant.
Huk
um T
ekan
an:
m &
V/P
ress
ure
Law
:(m
& V
– p
emal
ar/c
onst
ant
: P
∝ T
)
P 2 , T
2P 1 ,
T1
Hab
a/H
eat
(i)
Pene
rang
an
men
ggun
akan
Te
ori
Kin
etik
Ji
rim
:
Exp
lana
tion
usin
g K
inet
ic T
heor
y of
Mat
ter:
Apa
bila
gas
itu
dip
anas
kan,
suh
u m
enin
gkat
.(T
2> T
1)
Whe
n th
e ga
s is
hea
ted,
its
tem
pera
ture
inc
reas
es
.
(T2
> T
1)
Isi
padu
bek
as d
ikek
alka
n m
alar
, ja
di i
si p
adu
gas
adal
ah
tet
ap
.Th
e vo
lum
e of
the
con
tain
er i
s ke
pt c
onst
ant,
so t
he
volu
me
of t
he g
as i
s
con
stan
t
.
Kad
ar p
erla
ngga
ran
di a
ntar
a m
olek
ul g
as
deng
an d
indi
ng b
ekas
itu
m
enin
gkat
.
The
rate
of
colli
sion
bet
wee
n th
e ga
s m
olec
ules
and
the
wal
ls o
f th
e co
ntai
ner
i
ncre
ases
.
Te
kana
n ga
s
men
ingk
at
.
Th
e ga
s pr
essu
re
inc
reas
es
.
T 2 >
T1
dan
/and
P2
> P
1
(ii)
Pe
rnya
taan
/Sta
tem
ent:
H
ukum
Tek
anan
men
yata
kan
baha
wa
bagi
sua
tu
jisim
gas
yan
g te
tap,
teka
nan
gas
ad
alah
berk
adar
lan
gsun
g de
ngan
suh
u
mut
lak
gas
jika
isi
padu
gas
ada
lah
teta
p.
Pre
ssur
e La
w s
tate
s th
at f
or a
fix
ed m
ass
of g
as,
the
pres
sure
of
gas
is d
irec
tly p
ropo
rtio
nal
to t
he
abso
lute
tem
pera
ture
of
the
gas
if th
e vo
lum
e of
the
gas
is k
ept
cons
tant
.
Huk
um B
oyle
/Boy
le’s
Law
: (m
& T
– p
emal
ar/c
onst
ant:
P ∝
1 V)
P 1 , V
1
P 2 , V
2
Om
boh/
Pist
on
(i)
Pene
rang
an d
enga
n m
engg
unak
an T
eori
Kin
etik
Ji
rim
:
Exp
lana
tion
usin
g K
inet
ic T
heor
y of
Mat
ter:
A
pabi
la i
si p
adu
beka
s be
rkur
ang,
isi
pad
u ga
s
juga
b
erku
rang
.
(V2
< V
1)
Whe
n th
e vo
lum
e of
the
con
tain
er d
ecre
ases
, th
e
volu
me
of t
he g
as a
lso
decr
ease
s
. (V
2 <
V1)
K
adar
per
lang
gara
n an
tara
mol
ekul
gas
den
gan
dind
ing
beka
s
ber
tam
bah
.
Th
e ra
te o
f co
llisi
on b
etw
een
the
gas
mol
ecul
es a
nd
the
wal
ls o
f th
e co
ntai
ner
incr
ease
s
.
Te
kana
n ga
s tu
rut
b
erta
mba
h
.
Th
e ga
s pr
essu
re
in
crea
ses
.
Te
naga
kin
etik
gas
tet
ap,
mak
a su
hu g
as j
uga
t
etap
.
Th
e ki
netic
ene
rgy
of t
he g
as i
s co
nsta
nt,
so t
he
tem
pera
ture
of
the
gas
is
con
stan
t
.
V2
< V
1 da
n/an
d P 2
> P
1
(ii)
Pe
rnya
taan
/Sta
tem
ent:
Hukum
Boylemenyatakanbahawauntukjisim
gas
yang
tet
ap,
teka
nan
gas
berk
adar
son
gsan
g
deng
an i
si p
adu
gas
jika
suhu
ada
lah
mal
ar
.B
oyle
's L
aw s
tate
s th
at f
or a
fix
ed m
ass
of g
as,
the
gas
pres
sure
is
in
vers
ely
prop
ortio
nal
to
the
volu
me
of t
he g
as i
f th
e te
mpe
ratu
re i
s ke
pt c
onst
ant
.
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UNIT
© Nilam Publication Sdn. Bhd.191
MODUL • Fizik TINGKATAN 4
(iii)
Hub
unga
n/R
elat
ions
hip:
Teka
nan
gas
(P)
be
rkad
ar s
ongs
ang
de
ngan
isi
pad
u ga
s (V
)
Gas
pre
ssur
e (P
) is
i
nver
sely
pro
port
iona
l
to
the
gas
volu
me
(V)
P ∝
1 V
(iv)
Per
sam
aan/
Equ
atio
n:
P =
k (
1 V)
; k a
dala
h m
alar
/is a
con
stan
t
k =
P V
= m
alar
/con
stan
t
∴
P1
V1
=
P2
V2
(v)
Gra
f/G
raph
:
(a)
(c)
(b)
P/Pa
P/Pa
PV 000
V1 __ V
1 __ V
1 __ V
V
P b
erka
dar
song
sang
de
ngan
VP
is in
vers
ely
prop
orti
onal
to V
P b
erka
dar
lang
sung
de
ngan
P is
dir
ectl
y pr
opor
tion
al to
PV
ada
lah
teta
pP
V is
con
stan
t
(iii)
Hub
unga
n/R
elat
ions
hip:
Isi
padu
gas
(V
) ad
alah
berk
adar
lan
gsun
g de
ngan
suh
u m
utla
k ga
s (T
)
Volu
me
of g
as (
V)
is di
rect
ly p
ropo
rtio
nal t
o th
e ab
solu
te t
empe
ratu
re o
f ga
s (T
)
V
∝ T
(iv)
Per
sam
aan/
Equ
atio
n:
V =
k (
T) ;
k ad
alah
mal
ar/is
a c
onst
ant
k =
V T =
pem
alar
/con
stan
t
∴
V1
T 1 =
V
2
T 2
(v)
Gra
f/G
raph
:
(c)
a
dala
h te
tap
is
con
stan
t
T0
(a)
V b
erka
dar
lang
sung
de
ngan
TV
is d
irec
tly
prop
orti
onal
to T
0T/
K
V V __ T
(b)
V b
erub
ah s
ecar
alin
ear
deng
an
V v
arie
s li
near
ly
wit
h
0–2
73/°
C
V
θ
θ
θ
V __ T
V __ T
(iii)
Hub
unga
n/R
elat
ions
hip:
Teka
nan
gas
(P)
be
rkad
ar l
angs
ung
den
gan
suhu
mut
lak
gas
(T).
Pre
ssur
e of
gas
(P
) is
d
irec
tly p
ropo
rtio
nal
to
the
abso
lute
tem
pera
ture
of
gas
(T).
P ∝
T
(iv)
Per
sam
aan/
Equ
atio
n:
P =
k (
T) ;
k ad
alah
mal
ar/is
a c
onst
ant
k =
P T =
pem
alar
/con
stan
t
∴
P1
T 1 =
P
2
T 2
(v)
Gra
f/G
raph
:
(a)
(c)
(b)
P b
erka
dar
lang
sung
de
ngan
TP
is d
irec
tly
prop
orti
onal
to T
T/K
T
P/Pa
0–2
73
00
/°CP
ber
ubah
sec
ara
linea
r de
ngan
P
var
ies
line
arly
w
ith
θ
θ
θ
P/Pa P T
a
dala
h te
tap
is
con
stan
tP __ T
P __ T
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UNIT
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MODUL • Fizik TINGKATAN 4
Aplikasi Hukum-hukum Gas/Applications of Gas Laws
Hukum Boyle/Boyle’s Law
Bantal udaraAir pillow
• Penerangan: Hubungan antara tekanan udara dan isi padu mengguna teori kinetik gas (suhu malar)./Explanation: The relationship between the air pressure and the volume using the kinetic theory of gases (constant temperature).
• Apabilabudaklelakimeletakkankepalanyadiatasbantaludara,udaradidalambantal
itu dimampatkan .When the boy puts his head on the pillow, the air in the pillow is compressed .
• Isi padu udara dikurangkan./The volume of the air is decreased.
• Bilanganmolekul-molekulperunitisipadu meningkat .
The number of molecules per unit volume increases .
• Molekul-molekulberlanggardengandindingbantal lebih kerap .
The molecules collide more frequently with the wall of the pillow.
• Peningkatandalam kadar perlanggaran menyebabkan peningkatan tekanan
yang dikenakan oleh udara./The increase in the rate of collision results in an increase in the pressure exerted by the air.
• Tekananudara meningkat menyokong kepala budak lelaki itu.
The pressure of the air increases to support his head.
Hukum Tekanan/Pressure Law
Udara dalam tayar kereta dalam perjalanan jauhThe air in car tyre on a long journey
Sebelum perjalanan jauh Before long journey
Selepas perjalanan jauh After long journey
• Penerangan: Hubungan antara tekanan dan suhu menggunakan teori kinetik gas (isi padu malar).
Explanation: The relationship between the pressure and the temperature using the kinetic theory of gases (constant volume).
• Syarikattayarmencadangkanbahawatekanan‘sejuk’udaradalamtayarialah220kPa, walaupun tayar boleh berfungsi secara optimum pada 280 kPa./Tyre companies recommend that the 'cold' pressure of air in the tyre is 220 kPa, although the tyre can function at optimum at 280 kPa.
• Rajahmenunjukkanseoranglelakimengukurtekananudaratayarkeretanyasebelummemulakan perjalanan yang jauh. Selepas beberapa jam, dia mengukur tekanan semula dan tolok tekanan menunjukkan tekanan telah meningkat. Dia menyentuh tayar itu dan mendapati ianya panas./The diagram shows a man measuring the pressure of the air in his car tyre before starting on a long journey. After a few hours, he measured the pressure again and the pressure gauge showed that the pressure had increased. He touched the tyre and found that it was hot.
• Apabilaudaramenjadipanas, purata tenaga kinetik molekul-molekul meningkat.When the air becomes hot, the average kinetic energy of the molecules increases.
• Suhuudara meningkat ./The temperature of the air increases .
• Pergerakanpantasmolekul-molekulmenghentamdindingtayar lebih kerap .
The fast moving molecules strike the wall of the tyre more frequently .
• Molekul-molekulmengalami perubahan momentum yang besar apabila
melantun semula dari dinding tayar.
The molecules experience a large change of momentum when they bounce back from
the wall.
• Daya yang besar dikenakan ke atas dinding tayar.
A larger force is exerted on the wall of the tyre.
• Luaspermukaandindingkekaltetap,makatekanandikenakankeatasdindingmenjadi
tinggi ./The surface area of the wall remains constant, hence the pressure acting on the
wall becomes higher .
• Inimenyebabkantayarmenjadi panas .
This causes the tyre to become hot .
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MODUL • Fizik TINGKATAN 4
Hukum Charles/Charles’ Law
Bola ping pongPing pong Ball
• Penerangan: Hubungan antara isi padu dan suhu gas menggunakan teori kinetik gas (tekanan malar).Explanation: The relationship between the volume and temperature of gas using the kinetic theory of gases (constant pressure).
• Apabilabolapingpongmenjadikemektanpabocor.When a ping pong ball gets dented without being punctured.
• Penyelesaianterbaikialahmerendamkannyadidalamairpanasbeberapaminit.The best solution is to dip it for a while in hot water.
• Sehinggaudaradidalambolamenyamakansuhunyadengansuhu air di luar.Until the air inside the ball tries to match its temperature to the temperature of the water outside.
• Apabilaudaradidalambola(objektertutup)dipanaskan, purata tenaga kinetik
molekul-molekul meningkat .
When the air inside the ball (closed container) is heated, the average kinetic energy of
the molecules increases .
• Suhu juga meningkat.
The temperature also increases.
• Udaradibenarkanuntuk mengembang dan meningkatkan isi padunya.
The air is allowed to expand and increase its volume.
• Molekul-molekulbergerakpantasdidalamruangyangbesar.The molecules move faster in a bigger space.
• Maka kadar perlanggaran antara molekul-molekul dengan dinding bola kekal
tetap menyebabkan tekanan tetap .
Therefore, the rate of collision between the molecules and the wall remains constant and
causes the pressure to be constant .
• Hasilpop,bahagiankemikkembalikebentukasal.As a result, the popping of the dented part restores the original shape of the ball.
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UNIT
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MODUL • Fizik TINGKATAN 4
Tujuan Aim
Untuk menyiasat hubungan antara tekanan dan
isi padu untuk jisim gas yang tetap pada suhu
yang sama.
To investigate the relationship between the pressure
and volume for a fixed mass of gas at constant
temperature.
Untuk menyiasat hubungan antara isi padu dan
suhu untuk jisim gas yang tetap pada tekaan
yang sama.
To investigate the relationship between the volume
and temperature for a fixed mass of gas at constant
pressure.
Pemboleh ubahVariables
Pemboleh ubah dimanipulasi:Manipulated variable:
Tekanan udara, P
Pressure of air, P
Pemboleh ubah bergerak balas:Responding variable:
Isi padu udara,V
Volume of air, V
Pemboleh ubah dimalarkanFixed variable:Jisim dan suhu udara
Mass and temperature of air
Pemboleh ubah dimanipulasi:Manipulated variable:
Suhu udara, T
Temperature of air, T
Pemboleh ubah bergerak balas:Responding variable:
Isi padu udara, V
Volume of air, V
Pemboleh ubah dimalarkanFixed variable:Jisim dan tekanan udara
Mass and pressure of air
Senarai radas dan bahanList of apparatus and materials
Pam basikal, tiub kapilari, tiub getah dan tolok Bourdon.Bicycle pump, capillary tube, rubber tube and Bourdon gauge.
Tiub kapilari, asid sulfurik, pembaris meter separa, kaki retort, bikar, tungku kaki tiga, tiub getah, termometer dan penunu Bunsen.Capillary tube, sulphuric acid, half metre rule, retort stand, beaker, tripod stand, rubber tube, thermometer and Bunsen burner.
Susunan radasArrangement of the apparatus
MinyakOil
TolokBourdonBourdongauge
Tangki minyakOil reservoir
PamPump
UdaraAir
Tiub kapilariCapillary tube
Skalaisi paduVolumescale
Tiub kapilariCapillary tube
Xxxxxxxxxxxx
AirWater Gas terpendam
Trappedair
BikarBeaker
AisIce
Pengacau/StirrerTermometerThermometer
Pembaris meter separuhHalf metre rule
(i) Mengkaji hubungan antara tekanan dan isi padu gas To investigate the relationship between the pressure and volume of a gas(ii) Mengkaji hubungan antara isi padu dan suhu gas To investigate the relationship between the volume and temperature of a gas
EksperimenExperiment
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ProsedurProcedure
1. Radas disediakan seperti rajah di atas.
The apparatus is set up as shown in the
diagram above.
2. Tekanan awal dan isi padu udara dalam
tiub kapilari direkodkan.
The initial pressure and volume of the air in
the capillary tube are recorded.
3. Tolak pam sehingga tekanan udara
adalah 100 kPa.
Push the pump until the pressure of air is 100 kPa.
4. Catatkan isi padu udara dalam tiub kapilari.
Record the volume of the air in the capillary tube.
5. Ulangi eksperimen dengan tekanan udara,
yang berbeza, iaitu, P = 120 kPa, 140 kPa,
160 kPa dan 180 kPa. / Repeat the
experiment with different pressures of air that is,
P = 120 kPa, 140 kPa, 160 kPa and 180 kPa.
6. Nilai-nilai tekanan, P, isi padu, V, dan 1 V
dijadualkan.
The values of pressure, P, volume, V, and 1 V
are tabulated.
7. Graf P melawan V dan P melawan 1 V
diplotkan.
Plot a graph P against V and a graph of P
against 1 V .
1. Radas disediakan seperti rajah di atas.
The apparatus is set up as shown in the
diagram above.
2. Air di dalam bikar dipanaskan perlahan-
lahan dan dikacau dengan seragam dan
perlahan. Apabila bacaan termometer itu
adalah 30 °C, panjang turus udara yang
terperangkap, l cm, direkodkan.
The water in the beaker is heated slowly
and stirred unifromly and gently. When the
reading of the thermometer is 30 °C,
the length of the trapped air, l cm is recorded.
3. Ulangi eksperimen dengan suhu
berlainan iaitu θ = 40 °C, 50 °C, 60 °C
dan 70 °C.
Repeat the experiment with different
temperatures of water that is θ = 40 °C, 50° C,
60 °C and 70 °C.
4. Nilai-nilai suhu, θ, suhu mutlak, T, dan
panjang turus udara yang terperangkap, l,
dijadualkan.
The values of temperature, θ, absolute temperature,
T, and length of air trapped, l, are tabulated.
5. Plotkan graf l terhadap T (dalam Kelvin).
Plot a graph l against T (in Kelvin).
Penjadualan dataTabulate the data
Tekanan gas, P/kPaPressure of gas, P/kPa
Isi padu gas/cm3
Volume of air/cm3 1V
/cm-3
V1 V2 Vavg
100
120
140
160
180
Suhu gas, θ/°CTemperature of gas, θ/°C
Suhu mutlak, T/KAbsolute temperature, T/K
Panjang udara terperangkap, l/cmLength of trapped air, l/cm
l1 l2 lavg
30
40
50
60
70
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Tujuan Aim
Untuk menyiasat hubungan antara tekanan dengan suhu untuk jisim gas yang ditetapkan
pada isi padu yang sama.
To investigate the relationship between the pressure and temperature for a fixed mass of gas at
constant volume.
Pemboleh ubahVariables
Pemboleh ubah dimanupulasikan:Manipulated variable:Suhu udara, T/Temperature of air, T
Pemboleh ubah bergerak balas:Responding variable:Tekanan udara, P
Pressure of air, P
Pemboleh ubah dimalarkan:Constant variable:Jisim dan isi padu udara
Mass and volume of air
Senarai radas dan bahanList of apparatus and materials
Kelalangdasarbulat,termometer,kakiretort,tolokBourdon,pengacau,ais,tiubgetah,tungkukakitiga,kasadawaidanpenunuBunsen.Round-bottomed flask, thermometer, retort stand, Bourdon gauge, stirrer, ice, rubber tube, tripod stand, wire gauze and Bunsen burner.
Susunan radasArrangement of the apparatus
Tiub getahRubber tube
KasadawaiWiregauze
AirWater
UdaraAir
BikarBeaker
Kaki retortRetort stand
TermometerThermometer
AisIce
Tolok BourdonBourdongauge
Kelalangdasar bulatRound-Bottomed Flask
Xxxxxxxxxxxxxxxxxx
Mengkaji hubungan antara tekanan dengan suhu gasTo investigate the relationship between the pressure and temperature of a gas
Analisis dataAnalysis of the data
P/ kPa
V/cm3
l/cm
T / K
l/cm
/ °C0
θ
P/ kPa
( ) /cm–31—V
0
0 0
EksperimenExperiment
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ProsedurProcedure
1. Radas disediakan seperti yang ditunjukkan dalam rajah di atas.
The apparatus is set up as shown in the diagram above.
2. Kelalang dasar bulat direndam dalam sebuah bikar berisi air dan ais bersama.
The round-bottomed flask is immersed in a beaker of water containing ice.
3. Campuran air dan ais dikacau supaya udara di dalam kelalang mempunyai suhu yang
sama seperti air.
The mixture of water and ice is stirred so that the air in the flask has the same temperature as
the water.
4. Apabilabacaantermometeradalah30°C,bacaantekanan,P,padatolokBourdon
direkodkan.
When the reading of the thermometer is 30 °C, record the reading of the pressure, P on Bourdon
gauge.
5. Ulangi eksperimen dengan suhu air yang berlainan, iaitu θ = 40 °C, 50 °C, 60 °C dan
70 °C.
Repeat the experiment with different temperatures of water, that is θ = 40 °C, 50 °C, 60 °C and 70 °C.
6. Nilai-nilai suhu, θ, suhu mutlak, T dan tekanan udara terperangkap, P dijadualkan.
The values of temperature, θ, absolute temperature, T and pressure of the air trapped, P are tabulated.
7. Graf P melawan T (dalam Kelvin) diplotkan.
Plot a graph P against T (in Kelvin).
Penjadualan dataTabulate the data
Suhu gas, θ/°CTemperature of air, θ/°C
Suhu mutlak, T/KAbsolute temperature, T/K
Tekanan udara, P/kpaAir pressure,P/kPa
30
40
50
60
70
Analisis dataAnalysis the data
P/ kPa
T / K
P/ kPa
00/ °Cθ
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1 Isi padu gelembung udara pada dasar laut sedalam 50 m ialah 250 cm3. Jika tekanan atmosfera ialah
10 m air, cari isi padu gelembung udara apabila ia tiba ke permukaan laut.The volume of an air bubble at a 50 m deep seabed is 250 cm3. If the atmospheric pressure is 10 m of water, find the volume of the air bubble when it reaches the surface of the sea.
Penyelesaian/Solution:
P I = (50 m + 10 m) air = 60 m air
V 1 = 250 cm3
P 2 = 10 m air
MenggunakanHukumBoyle,/Using Boyle's Law,
P1 V1 = P2 V2
(60 m air) (250 cm3) = (10 m air) × V2
V2 = (60 m air × (250 cm3)
10 m air = 1 500 cm3
2 Rajah menunjukkan tiub kaca yang mengandungi udara yang terperangkap di dalamnya. Pada 17 °C,
turus udara yang terperangkap ialah 29 cm.The diagram shows a glass tube containing some trapped air inside it. At 17 °C, the vertical column of trapped air is 29 cm.
5 cm
29 cm pada/at 17 °C
MerkuriMercury
UdaraAir
Berapakah panjang turus udara yang terperangkappada suhu 57 °C?What is the vertical column of trapped air at a temperature of 57 °C?
Penyelesaian/Solution:Menggunakan Hukum Charles,/Using Charles' Law,
V1
T1 =
V2
T2
A (L1)
T1 =
A (L2)T2
,
29 cm
(17 + 273) K =
L2
(57 + 273) K
L2 = 29 cm × 330 K
290 K = 33 cm
di mana A = luas keratan rentas tiub
where A = cross-sectional area of the tube
3 Satu campuran udara dan wap petrol disuntik ke dalam enjin silinder kereta apabila isi padu silinder itu ialah 100 cm3. Tekanan adalah 1.0 atm.
Injap ditutup dan campuran dimampatkan kepada 20 cm3. Cari tekanan sekarang.
A mixture of air and petrol vapour is injected into the cylinder of a car engine when the volume of the cylinder is 100 cm3. Its pressure is 1.0 atm. The valve is closed and the mixture is compressed to 20 cm3.Find the pressure now.
Penyelesaian/Solution:MenggunakanHukumBoyle,/Using Boyle's Law, P1 V1 = P2 V2
1 atm × 100 cm3 = P2 × 20 cm3
P2 = 100 cm3
20 cm3 × 1 atm = 5 atm
4 Isi padu gas 20 m3 pada suhu 37 °C dipanaskan sehingga menjadi 87 °C pada tekanan malar. Berapakahpeningkatanisipadunya?A gas of volume 20 m3 at 37 °C is heated until its temperature becomes 87 °C at constant pressure. What is the increase in volume?
Penyelesaian/Solution:Menggunakan Hukum Charles,/Using Charles' Law,
V1
T1 =
V2
T2
20 m3
(37 + 273) K =
V2
(87 + 273) K
V2 = 20 m3 × 360 K
310 K = 23.23 m3
Peningkatan isi padu/Increase in volume= (23.23 – 20) m3 = 3.23 m3
5 Tekanan udara di dalam bekas pada 33 °C adalah 1.4 × 105 N m-2. Bekas itu dipanaskan sehinggasuhu55°C.Berapakahtekananudaraakhirjikaisipadu bekas ditetapkan?The air pressure in a container at 33 °C is 1.4 × 105 N m-2. The container is heated until the temperature is 55 °C. What is the final air pressure if the volume of the container is fixed?
Penyelesaian/Solution:Menggunakan Hukum Tekanan,/Using Pressure Law,
P1
T1 =
P2
T2
1.4 × 105 N m–2
(33 + 273) K =
P2
(55 + 273) K
P2 = 1.4 × 105 N m–2 × 328 K
306 K = 1.5 × 105 N m-2
KBAT
KBAT
KBAT
Latihan/Exercises
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1 Rajah 1 menunjukkan satu sudu besi pada suhu bilik direndam dalam air panas pada 70 °C. Diagram 1 shows an iron spoon at room temperature being immersed in hot water at 70 ºC.
Sudu besiIron spoon
AirWater
Rajah 1 / Diagram 1
Keseimbangan termal tercapai apabilaThe termal equilibrium is reached when
A suhu air = suhu sudu. the temperature of the water = the temperature of the
spoon.B jisim sudu = jisim air yang tersesar. the mass of the spoon = the mass of water displaced.C isi padu sudu = isi padu air yang tersesar. the volume of the spoon = the volume of water
displaced.D muatan haba tentu sudu = muatan haba tentu air. thespecificheatcapacityofthespoon=thespecific
heat capacity of water.
2 Rajah 2 menunjukkan blok pepejal M dan N yang berjisim sama sedang dipanaskan. Suhu awal M dan N adalah sama dan dipanaskan dengan jumlah tenaga yang sama.Diagram 2 shows that solid blocks M and N of equal mass, are being heated. The initial temperature of M and N is the same and they are heated by the same amount of energy.
DapurStove
Pengadang habaHeat shield
M N
Rajah 2 / Diagram 2
Dapat diperhatikan bahawa M panas lebih cepat daripada N. Pemerhatian ini adalah disebabkan oleh perbezaan dalamIt is observed that M is hot faster than N. This observation is due to the difference in
A ketumpatan. / density.B takat lebur. / melting point.C haba pendam tentu pelakuran. latent heat of fusion.D muatan haba tentu. specificheatcapacity.
3 Rajah 3 menunjukkan susunan radas terdiri daripada penitis dan botol dengan lembaran getah.Diagram 3 shows the arrangement of apparatus made up of a dropper and bottle with a rubber sheet.
PenitisDropper Air
Water
BotolBottle
Lembaran getahRubber sheet
Rajah 3 / Diagram 3
Apabila lembaran getah ditekan,When the rubber sheet is pressed,A penitis ternaik. / the dropper rises.B air memasuki tiub penitis. water enters the dropper tube.C tekanan di A berkurang. the pressure at A decreases.D daya tujah penitis berkurang. the upthrust on the dropper decreases.
4 Graf pada Rajah 4 menunjukkan perubahan suhu ais apabila ia dipanaskan. / The graph in Diagram 4 shows the change in temperature of ice when it is heated.
Suhu
/Tem
pera
ture
/ °C
Masa/Time / s
AB C
D
Rajah 4 / Diagram 4
Antara titik A, B, C atau D, yang manakah air wujud sebagai campuran cecair dan gas?At which points, A, B, C or D, does water exist as mixture of a liquid and a gas?
5 Suhu air mendidih ialah 100 °C. Jika air mendidih pada suhu lebih tinggi daripada 100 °C, keadaan ini disebabkan apa? / The temperature at which water boils is 100 °C. if water boils at a temperature higher than 100 °C, what is the cause of this?A Air adalah tulen. / The water is pure.B Isi padu air besar. / The volume of the water is large.C Air mengandungi bendasing. The water contains impurities.D Air mendidih di dalam bekas logam yang
merupakan pengalir haba yang baik. The water is boiled in a metal container which is a
good conductor of heat.
Latihan Pengukuhan/Enrichment Exercises
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6 Rajah 6 menunjukkan satu omboh kedap udara.Diagram 6 shows an air tight piston.
KlipClip
Udara / Air
10 cmKedap udara
Airtight
Rajah 6 / Diagram 6
Ia adalah sukar untuk menolak omboh ke hadapan ke dalam picagari apabila ruangannya ditutup. Ini adalah keranaItisdifficulttopushthepistonforwardintosyringewhenits outlet is closed. This is becauseA rintangan geseran antara silinder dan omboh. the frictional resistance between the cylinder and the
pistonB molekul udara dalam silinder berlanggar dengan
omboh pada kadar yang lebih tinggi. the air molecules in the cylinder collide with the
piston at higher rate.C daya tolakan antara molekul-molekul. of the forces of repulsion between the molecules.D bilangan molekul-molekul di dalam silinder
bertambah. the number of air molecules in the cylinder increases.
7 Rajah 7 menunjukkan satu turus udara terperangkap di dalam tiub kapilari oleh benang merkuri. Tiub rerambut diletakkan di dalam tiga keadaan yang berbeza K, L dan M.Diagram 7 shows an air column trapped inside a capillary tube by a thread of mercury. The capillary tube is placed in three different situations K, L and M.
K M
L
Rajah 7 / Diagram 7
Tekanan udara di K, L dan M masing-masing P1, P2 dan P3. Antara perbandingan berikut, yang manakah adalah betul?The air pressure in K, L and M are P1, P2 and P3 respectively. Which of the following comparison is correct?
A P1 = P2 = P3
B P1 > P2 > P3
C P1 < P2 < P3 D P1 = P2 > P3
8 Rajah 8 menunjukkan pembentukan bayu darat.Diagram 8 shows the formation of a land breeze.
Udara panasHot air
Waktu malamNight time
Udara sejukCool air
Laut/SeaDarat/Land
Rajah 8 / Diagram 8
Antara pernyataan berikut, yang manakah betul?Which of the following statements is correct?
A Muatan haba air laut lebih tinggi daripada muatan haba darat.
The heat capacity of the sea water is higher than the heat capacity of the land.
B Tekanan laut adalah lebih tinggi daripada di atas darat.
The pressure of the sea is higher than that on the land.
C Suhu darat menjadi lebih tinggi daripada suhu air laut.
The temperature of the land becomes higher than the temperature of the sea water.
D Ketumpatan darat kurang daripada air laut. The density of the land is less than that of sea water.
9 Berapakahhabayangdiperlukanuntukmenukarkan0.2 kg air air mendidih kepada wap?How much heat is needed to change 0.2 kg of boiling water to vapour?
(Haba pendam tentu pengewapan air ialah / specificlatent heat of vaporisation of steam is 2.26 × 106 J kg–1)A 452 kJ C 113 kJB 500 kJ D 1.33 kJ
10 Sebuah pemanas berkuasa 1 200 W sedang memanaskan suatu cecair pada takat didihnya. Jika haba pendam tentu pengewapan cecair itu ialah 2.0 × 106 J kg–1, berapakah jisim cecair itu yang telah ditukarkan kepada wap setelah dipanaskan selama 10 minit?An electric heater with a power of 1 200 W is heating a liquidat itsboilingpoint. If thespecific latentheatofvaporisation of the liquid is 2.0 × 106 J kg–1, what is the mass of the liquid that has changed into vapour after 10 minutes?A 0.18 kgB 0.36 kgC 3.0 kgD 5.6 kg
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11 Rajah 11(a) dan Rajah 11(b) menunjukkan suatu eksperimen untuk menentukan haba pendam tentu pelakuran ais. Rajah 11(b) adalah eksperimen kawalan.Diagram 11(a) and Diagram 11(b) show an experiment beingusedtodeterminethespecificlatentheatoffusionofice. Diagram 11(b) is a control experiment.
AirWater
Pemanas rendamImmersion heater
AisIce
AirWater
AisIce
(a) (b)
Rajah 11 / Diagram 11
Eksperimen kawalan adalah untukThe control experiment is to
A mengawal kadar peleburan ais. control the rate of melting of ice.B memastikan air yang digunakan adalah tulen. ensure that the water used is pure. C menentukan nilai purata bagi haba pendam tentu
pelakuran ais. determinetheaveragevalueofthespecificlatentheat
of fusion of ice.D menentukan jisim ais yang melebur tanpa
pemanasan daripada pemanas rendam itu. determine the mass of ice which melts without heating
it with the heater.
12 Haba pendam tentu pengewapan air ialah haba yang diserap olehThespecificlatentheatofvaporisationofwateristheheatabsorbed byA 1 kg air untuk menaikkan suhu sebanyak 1 °C 1 kg of water to increase the temperature by 1 °CB 1 m3 air untuk menaikkan suhu sebanyak 1 °C. 1 m3 of water to increase the temperature by 1 °CC 1 kg air semasa mendidih untuk menukarkannya
kepada stim 1 kg of water during boiling to change it to steamD 1 m3 air semasa mendidih untuk menukarkannya
kepada stim 1 m3 of water during boiling to change it to steam
13 Antara graf berikut, yang mana menunjukkan hubungan antara isi padu, V, dengan suhu, T, bagi suatu gas yang berjisim tetap pada tekanan yang malar?Which of the following graphs shows the relationship between the volume, V, of a fixed mass of gas with itstemperature, T, at constant pressure?
A
0
00
0
V/m3
T/K
V/m3
T/K
V/m3
T/K
V/m3
T/K
B
0
00
0
V/m3
T/K
V/m3
T/K
V/m3
T/K
V/m3
T/K
C
0
00
0
V/m3
T/K
V/m3
T/K
V/m3
T/K
V/m3
T/K
D
0
00
0
V/m3
T/K
V/m3
T/K
V/m3
T/K
V/m3
T/K
14 Sebuah kolam berkedalaman 40 m. Suatu gelembung udara dengan isi padu, V cm3, pada dasar kolam itu menaik sehingga aras permukaan air. Tekanan atmosfera adalah bersamaan dengan 10 m air. Apabila gelembung udara itu telah menaik 20 m, isi padunya akan menjadiAn air bubble of volume, V cm3, at the bottom of a lake which is 40 m deep rises towards the surface of the water. Atmospheric pressure is equivalent to 10 m of water. When the air bubble has risen 20 m, its volume will become
A 0.50 VB 0.60 VC 1.67 VD 2.00 V
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1 Rajah 1.1 dan Rajah 1.2 menunjukkan gas, X, yang berjisim tetap terperangkap dalam dua kelalang serupa yang dipanaskan dengan kuantiti haba yang berbeza. / Diagram1.1andDiagram1.2showthatafixedmassoftrappedgas,X,intwoidenticalflasksheatedwithdifferentquantitiesofheat.
Rajah 1.1 / Diagram 1.1 Rajah 1.2 / Diagram 1.2
Tolok BourdonBourdon gauge
BlokkayuWooden block
UdaraAir
DapurStove
Air dan aisWater and ice
PengacauStirrer
TermometerThermometer
KelalangFlask
UdaraAir
DapurStove
Air dan aisWater and ice
PengacauStirrer
TermometerThermometer
Tolok BourdonBourdon gauge
BlokkayuWooden block
KelalangFlask
(a) NyatakankuantitifizikdanunitS.I.nyayangdiukurolehtolokBourdonitu. State the physical quantity and its S.I. unit measured by the Bourdon gauge.
Tekanan udara. Pascal atau N m–2
Air pressure. Pascal or N m–2
(b) Kedua-duadapurditutupselepas8minit.BerdasarkanRajah1.1danRajah1.2, Both stoves are turned off after 8 minutes. Based on Diagram 1.1 and Diagram 1.2,
(i) bandingkanbacaankedua-duatolokBourdonitu./compare the readings of the both Bourdon gauges.
BacaantolokBourdondalamRajah1.2lebihtinggidaripadabacaantolokBourdondalamRajah1.1.
The reading of Bourdon gauge in Diagram 1.2 is higher than that of Diagram 1.1.
(ii) bandingkan bacaan kedua-dua termometer. / compare the readings of both thermometers.
BacaantermometerdalamRajah1.2lebihtinggidaripadabacaantermometerdalamRajah1.1.
The reading of the thermometer in Diagram 1.2 is higher than that of Diagram 1.1.
(iii) nyatakan hubungan antara tekanan gas, X, dalam kelalang dengan suhu. statetherelationshipbetweenthepressureofgas,X,intheflaskandthetemperature.
Apabila suhu menaik, tekanan gas, X, dalam kelalang menaik.
Whenthetemperatureincreases,thepressureofgas,X,intheflaskincreases.
(c) Berdasarkanteorikinetik,terangkansebabbagijawapandi1(b)(iii). Based on kinetic theory, explain the reason for the answer in 1(b)(iii).
Apabila molekul-molekul gas dalam kelalang menerima haba, halaju molekul-molekul gas bertambah. Ini
menyebabkan tenaga kinetik molekul-molekul gas itu bertambah. Apabila tenaga kinetik molekul-molekul
gas bertambah, frekuensi perlanggaran di antara molekul-molekul gas dengan dinding kelalang bertambah,
maka tekanan gas dalam kelalang bertambah. Whenthegasmoleculesintheflaskreceiveheat,thevelocityofthesemoleculesincreases.Thiscausesthekinetic
energy of the gas molecules to increase.When the kinetic energy of the gas molecules increases, the frequency of
collisionbetweenthegasmoleculesandthewallsoftheflaskincreases,thusthegaspressureintheflaskincreases.
(d) Namakan hukum yang terlibat apabila isi padu gas, X, dimalarkan. Name the law involved when the volume of gas, X, is constant.
Hukum Tekanan / Pressure Law
Soalan Struktur/Structure Questions
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