PrepYodhaClass Notes · Physics
Physics · Chapter 07

Heat & Thermodynamics

Heat is a form of energy in transit, flowing from hotter bodies to colder ones, while temperature tells us how hot or cold a body is. These notes move from the idea of heat and its units, through the temperature scales and the gas laws, to thermal expansion, the three modes of heat transfer, and finally the laws of thermodynamics and heat engines.

🌡️ 18 topics🎯 143+ points📝 self-test
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Topic 01

Heat

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Heat (or thermal energy) is the total of the kinetic energies of all the molecules of a body, and it is best understood as energy on the move.

Key Point
Heat is the sum of all kinetic energies (translational, vibrational, rotational) of all the molecules of a body.
Key ideas about heat
  • Heat is a form of energy and is a scalar quantity.
  • The SI unit of heat is the joule (J); the practical unit is the calorie (cal).
  • One calorie is the heat needed to raise the temperature of 1 g of water from 14.5°C to 15.5°C.
  • 1 calorie = 4.186 joule — the calorie is a very small unit, so large quantities of heat are measured in joules.
  • Heat always flows from higher temperature to lower temperature.
  • Heat is measured by the change in temperature it produces.
📝 Quick self-test 2 MCQs · 2 fill-ups

The SI unit of heat is the:

  1. calorie
  2. joule
  3. kelvin
  4. watt
B. joule — The SI unit of heat is the joule (J); the practical unit is the calorie.

Heat always flows from:

  1. Lower to higher temperature
  2. Higher to lower temperature
  3. Equal temperatures
  4. Solids to gases
B. Higher to lower temperature — Heat always flows from higher temperature to lower temperature.

One calorie is the heat needed to raise the temperature of 1 g of water from 14.5°C to °C.

✔ 15.5

Heat is the sum of all energies of all the molecules of a body.

✔ kinetic
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Topic 02

Calorie and Joule Conversion

The calorie is fixed by experiment, not by convenience, which is why the conversion factor is an awkward number rather than a round one.

Key Point
1 cal = heat needed to raise 1 g of water from 14.5°C to 15.5°C.
Why 1 cal = 4.186 J and not 4 J
  • Equivalently, exactly 4.186 J of work heats 1 g of water through that same one-degree rise.
  • If we round 4.186 down to 4, we get the rough figure 1 cal ≈ 4 J, but the exact value is 4.186 J.
Units of heat — at a glance
QuantityValue
SI unit of heatjoule (J)
Practical unit of heatcalorie (cal)
1 calorie4.186 joule
1 joule0.239 calorie
📝 Quick self-test 2 MCQs · 2 fill-ups

The exact conversion of 1 calorie into joules is:

  1. 4 J
  2. 4.186 J
  3. 1 J
  4. 0.239 J
B. 4.186 J — 1 cal = 4.186 J exactly.

How many calories is 1 joule equal to?

  1. 4.186 cal
  2. 0.239 cal
  3. 1 cal
  4. 10 cal
B. 0.239 cal — 1 joule = 0.239 calorie.

Exactly J of work heats 1 g of water through a one-degree rise.

✔ 4.186

Rounding 4.186 down to 4 gives the rough figure 1 cal ≈ J.

✔ 4
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Topic 03

Types & Nature of Heat

Heat can be classified by the effect it has, and it has a definite character as a physical quantity.

Key Point
Sensible heat — heat that changes the temperature of a body.
Types of heat energy
  • Latent heat — heat that changes the state of a body without changing its temperature.
  • Specific heat — heat needed to raise the temperature of unit mass by one degree.
Nature of heat
  • Heat is a scalar quantity.
  • Heat is not stored in a body — it is transferred from one body to another.
  • Heat cannot be seen, but its effect can be felt.
📝 Quick self-test 2 MCQs · 2 fill-ups

Heat that changes the state of a body without changing its temperature is called:

  1. Sensible heat
  2. Latent heat
  3. Specific heat
  4. Radiant heat
B. Latent heat — Latent heat changes the state of a body without changing its temperature.

Heat is which kind of physical quantity?

  1. Vector
  2. Scalar
  3. Tensor
  4. Dimensionless
B. Scalar — Heat is a scalar quantity.

Heat that changes the temperature of a body is called heat.

✔ sensible

Heat is not stored in a body — it is from one body to another.

✔ transferred
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Topic 04

Important Formula (Heat)

The heat needed to warm a body depends on how much of it there is, what it is made of, and how big a temperature change is wanted.

Key Point
Q = m × s × ΔT — Heat = Mass × Specific Heat × Change in Temperature.
The heat equation
  • Where Q = heat in J, m = mass in kg, s = specific heat in J/kg·K, and ΔT = temperature change in K.
📝 Quick self-test 2 MCQs · 2 fill-ups

The heat equation is:

  1. Q = m × s × ΔT
  2. Q = mgh
  3. Q = ½mv²
  4. Q = PV
A. Q = m × s × ΔT — The heat equation is Q = m × s × ΔT.

In the equation Q = m × s × ΔT, what does s represent?

  1. Speed
  2. Specific heat
  3. Distance
  4. Entropy
B. Specific heat — s is the specific heat in J/kg·K.

In the heat equation, ΔT is the change in .

✔ temperature

In Q = m × s × ΔT, m is the in kg.

✔ mass
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Topic 05

Absolute Temperature

There is a lowest possible temperature at which molecular motion theoretically ceases, and Lord Kelvin used it as the zero of a new temperature scale.

Key Point
Absolute zero is the lowest possible temperature, at which all molecular motion theoretically stops.
Absolute zero & the Kelvin scale
  • Absolute zero = 0 K = −273.15°C (exam-correct value).
  • Lord Kelvin began a new scale with absolute zero as its zero — the Kelvin scale (absolute scale) of temperature.
  • T(K) = t°C + 273.15 converts Celsius to Kelvin.
  • At 0 K, a gas is supposed to have zero volume and zero pressure and entire molecular motion stops.
Reference points on the three scales
Reference pointKelvinCelsiusFahrenheit
Water boils373.15 K100°C212°F
Water freezes273.15 K0°C32°F
Absolute zero0 K−273.15°C−459.67°F
📝 Quick self-test 2 MCQs · 2 fill-ups

Absolute zero is equal to:

  1. 0°C
  2. 0 K = −273.15°C
  3. 273.15 K
  4. −100°C
B. 0 K = −273.15°C — Absolute zero = 0 K = −273.15°C, the lowest possible temperature.

The conversion from Celsius to Kelvin is:

  1. T(K) = t°C − 273.15
  2. T(K) = t°C + 273.15
  3. T(K) = t°C × 273
  4. T(K) = 273 − t°C
B. T(K) = t°C + 273.15 — T(K) = t°C + 273.15.

The Kelvin scale (absolute scale) was begun by Lord .

✔ Kelvin

At 0 K, a gas is supposed to have zero volume and zero .

✔ pressure
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Topic 06

Temperature Scales

To measure temperature we fix two reference points and divide the gap between them into equal parts; different choices of these divisions give us the different scales.

Key Point
Lower fixed point = ice point (melting point of ice).
The two fixed points
  • Upper fixed point = boiling point of water.
  • These two fixed points let us build different temperature scales.
Celsius Scale (°C)
  • Designed by Andre Celsius in 1710.
  • Ice point = 0°C, boiling point of water = 100°C.
  • The interval (100°C) is divided into 100 equal parts.
Fahrenheit Scale (°F)
  • Designed by Gabriel Fahrenheit in 1717.
  • Ice point = 32°F, boiling point of water = 212°F.
  • The interval is divided into 180 equal parts.
  • Conversion: °F = (9/5)°C + 32.
Kelvin Scale (K)
  • Designed by Lord Kelvin.
  • Ice point = 273.15 K, boiling point of water = 373.15 K; the interval is divided into 100 parts.
  • Kelvin is the absolute temperature scale and starts from absolute zero (0 K = −273.15°C).
  • It has no negative values.
  • The SI unit of temperature is the kelvin (K), used mostly in science and engineering.
Comparison of Fahrenheit & Celsius
Reference pointFahrenheitCelsius
Water boils212°F100°C
Water freezes32°F0°C
Dry ice (solid CO₂)−108°F−78°C
Liquid air / absolute zero−459°F−273°C
📝 Quick self-test 2 MCQs · 2 fill-ups

On the Fahrenheit scale, the boiling point of water is:

  1. 100°F
  2. 180°F
  3. 212°F
  4. 273°F
C. 212°F — On the Fahrenheit scale, water boils at 212°F.

The Celsius to Fahrenheit conversion is:

  1. °F = (9/5)°C + 32
  2. °F = (5/9)°C + 32
  3. °F = °C + 273
  4. °F = (9/5)°C − 32
A. °F = (9/5)°C + 32 — °F = (9/5)°C + 32.

The Celsius scale was designed by Andre Celsius in the year .

✔ 1710

The Kelvin scale is the absolute temperature scale and has no values.

✔ negative
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Topic 07

Triple Point of Water

There is one unique set of conditions at which ice, liquid water and water vapour can all coexist together in equilibrium.

Key Point
The triple point is where ice, liquid water and water vapour coexist in equilibrium and are equally stable.
The triple point
  • It is unique: it occurs at a specific temperature of 273.16 K (0.01°C) and a specific pressure of 0.46 cm of Hg (0.00603 atm).
  • On a pressure–temperature diagram the regions are labelled Solid, Liquid and Gas, with 0°C and 100°C marked on the temperature axis.
📝 Quick self-test 2 MCQs · 2 fill-ups

At the triple point of water, which three coexist in equilibrium?

  1. Ice, steam, salt
  2. Ice, liquid water and water vapour
  3. Solid, plasma, gas
  4. Water, oil, air
B. Ice, liquid water and water vapour — At the triple point, ice, liquid water and water vapour coexist in equilibrium.

The triple point of water occurs at a temperature of:

  1. 0°C
  2. 273.16 K
  3. 373.15 K
  4. 4°C
B. 273.16 K — The triple point occurs at 273.16 K (0.01°C).

The triple point of water occurs at a specific temperature of 273.16 K, equal to °C.

✔ 0.01

At the triple point, ice, liquid water and water vapour are all equally .

✔ stable
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Topic 08

Humidity

The air around us holds water vapour, and how much it holds can be described in two ways.

Key Point
Absolute humidity is the amount of water vapour present in a unit volume of air.
Absolute humidity
Relative humidity
  • Relative humidity (RH) is the ratio of the water vapour present in a given volume of air to the water vapour needed to saturate that same volume at the same temperature.
  • RH = (actual water vapour ÷ water vapour at saturation) × 100%.
  • Water vapour is invisible; more water vapour in the air means more humidity.
  • Humidity affects our comfort, health and the weather.
📝 Quick self-test 2 MCQs · 2 fill-ups

Absolute humidity is the amount of water vapour present in a unit:

  1. Mass of air
  2. Volume of air
  3. Weight of water
  4. Temperature
B. Volume of air — Absolute humidity is the amount of water vapour present in a unit volume of air.

Relative humidity is expressed as a:

  1. Fixed number
  2. Ratio (percentage)
  3. Temperature
  4. Pressure
B. Ratio (percentage) — Relative humidity is a ratio, expressed as a percentage.

Water vapour is ; more water vapour in the air means more humidity.

✔ invisible

Relative humidity compares actual water vapour to the water vapour needed to the air.

✔ saturate
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Topic 09

Ideal-Gas Equation

The behaviour of an ideal gas links its pressure, volume, amount and temperature in a single equation that combines three classic gas laws.

Key Point
PV = nRT — where P = pressure, V = volume, n = number of moles, T = absolute temperature in K.
The ideal-gas equation
  • R = universal gas constant = 8.314 J·mol⁻¹·K⁻¹.
The three gas laws it combines
LawConditionStatement
Boyle's Lawtemperature constantP ∝ 1/V — pressure is inversely proportional to volume
Charles's Lawpressure constantV ∝ T — volume is directly proportional to absolute temperature
Avogadro's Lawpressure & temperature constantV ∝ n — volume is directly proportional to the number of moles
📝 Quick self-test 2 MCQs · 2 fill-ups

The ideal-gas equation is:

  1. PV = nRT
  2. PV = mRT
  3. P = nRT
  4. PV = RT/n
A. PV = nRT — The ideal-gas equation is PV = nRT.

Boyle's law (temperature constant) states that:

  1. V ∝ T
  2. P ∝ 1/V
  3. V ∝ n
  4. P ∝ T
B. P ∝ 1/V — Boyle's law: pressure is inversely proportional to volume (P ∝ 1/V).

The universal gas constant R = J·mol⁻¹·K⁻¹.

✔ 8.314

Charles's law states that volume is directly proportional to absolute .

✔ temperature
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Topic 10

Thermal Expansion

Almost every body expands when heated, and the expansion can show up in its length, its area or its volume.

Key Point
Almost all bodies expand on heating and contract on cooling.
Expansion on heating
  • Expansion can occur in the length, area or volume of a body.
Types of expansion
  • Linear expansion — expansion in length.
  • Superficial (areal) expansion — expansion in area.
  • Cubical (volume) expansion — expansion in volume.
  • Gases expand more than liquids, and liquids more than solids.
Anomalous expansion of water (exam key fact)
  • Water has its maximum density at 4°C — between 0°C and 4°C it contracts on heating, which is its anomalous expansion.
📝 Quick self-test 2 MCQs · 2 fill-ups

Expansion of a body in its length is called:

  1. Superficial expansion
  2. Cubical expansion
  3. Linear expansion
  4. Anomalous expansion
C. Linear expansion — Expansion in length is called linear expansion.

Water has its maximum density at:

  1. 0°C
  2. 4°C
  3. 100°C
  4. −273°C
B. 4°C — Water has its maximum density at 4°C (anomalous expansion).

On heating, gases expand more than liquids, and liquids more than .

✔ solids

Expansion in volume of a body is called (volume) expansion.

✔ cubical
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Topic 11

Heat Transfer — Three Modes

Heat moves from a hotter body to a colder one in three distinct ways, each with its own medium requirement.

Key Point
Heat is transferred by conduction, convection and radiation.
Overview of the three modes
  • Conduction occurs mainly in solids.
  • Convection occurs in liquids and gases (fluids).
  • Radiation needs no medium at all.
Modes of heat transfer — summary
ModeMedium
Conductionin solids
Convectionin liquids and gases
Radiationno medium required
📝 Quick self-test 2 MCQs · 2 fill-ups

Which mode of heat transfer needs no medium at all?

  1. Conduction
  2. Convection
  3. Radiation
  4. All need a medium
C. Radiation — Radiation needs no medium and can even cross a vacuum.

Conduction occurs mainly in:

  1. Liquids
  2. Gases
  3. Solids
  4. Vacuum
C. Solids — Conduction occurs mainly in solids.

Heat is transferred by conduction, convection and .

✔ radiation

Convection occurs in liquids and .

✔ gases
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Topic 12

Conduction

In conduction, heat passes through a substance from molecule to molecule while the molecules themselves stay put.

Key Point
Conduction transmits heat through a substance without the actual motion of the particles.
How conduction works
  • When one end of a metal is heated, those molecules vibrate with higher amplitude (kinetic energy) and pass it on to the next molecule, and so on.
  • The molecules stay in their mean positions of equilibrium.
  • Conduction is prominent in solids.
  • Example: in a metal rod, heat flows from the hot end to the cold end through successive collisions of molecules.
📝 Quick self-test 2 MCQs · 2 fill-ups

In conduction, heat is transmitted:

  1. By the actual movement of particles
  2. Without the actual motion of the particles
  3. Through a vacuum
  4. As electromagnetic waves
B. Without the actual motion of the particles — Conduction transmits heat without the actual motion of the particles.

Conduction is prominent in:

  1. Gases
  2. Liquids
  3. Solids
  4. Vacuum
C. Solids — Conduction is prominent in solids.

In conduction, the molecules stay in their mean positions of .

✔ equilibrium

In a metal rod, heat flows from the hot end to the end.

✔ cold
♨️
Topic 13

Convection

In convection, the heated particles of a fluid actually move and carry their heat with them.

Key Point
Convection transmits heat by the actual movement of the vibrating particles of the fluid itself.
How convection works
  • It is prominent in liquids and gases.
  • Warm fluid rises and cool fluid sinks, setting up a convection current.
  • Land breezes, sea breezes and trade winds are formed by convection.
  • Convection is important in ventilation, gas-filled electric lamps and heating buildings by hot-water circulation.
  • Examples: boiling of water, sea breeze, rising hot-air balloons, and room heating by a radiator.
📝 Quick self-test 2 MCQs · 2 fill-ups

In convection, heat is transmitted by:

  1. Molecule-to-molecule collisions without movement
  2. The actual movement of the vibrating particles
  3. Electromagnetic waves
  4. No medium
B. The actual movement of the vibrating particles — Convection transmits heat by the actual movement of the vibrating particles of the fluid.

Which of the following is an example of convection?

  1. Heat from the Sun
  2. Land and sea breezes
  3. Heat through a metal rod
  4. X-ray heating
B. Land and sea breezes — Land breezes, sea breezes and trade winds are formed by convection.

In convection, warm fluid rises and cool fluid .

✔ sinks

Convection is prominent in liquids and .

✔ gases
☀️
Topic 14

Radiation

Radiation carries heat directly from one place to another, needing no medium at all — which is how the Sun's heat reaches us.

Key Point
Radiation transmits heat directly without any intervening medium.
How radiation works
  • We receive heat radiations straight from the Sun, without affecting the medium in between.
  • Heat radiations can pass through a vacuum.
  • Heat radiation is part of the electromagnetic spectrum.
Properties of radiation
  • Radiant energy travels in a straight line (rectilinear propagation), so an object in its path casts a shadow at the detector.
  • It obeys the laws of reflection (∠i = ∠r) and refraction, exactly as light does, and can be made to interfere.
  • It can travel through a vacuum and needs no medium.
  • Intensity follows the inverse-square law: I ∝ 1/r² (where I = intensity, r = distance from the source) — so intensity decreases with distance.
  • Thermal radiation can be polarised like light, e.g. by transmission through a Nicol prism.
📝 Quick self-test 2 MCQs · 2 fill-ups

Radiation transmits heat:

  1. Only through solids
  2. Without any intervening medium
  3. Only through liquids
  4. Only by particle movement
B. Without any intervening medium — Radiation transmits heat directly without any intervening medium.

The intensity of radiation follows which law?

  1. Ohm's law
  2. Inverse-square law (I ∝ 1/r²)
  3. Newton's law
  4. Boyle's law
B. Inverse-square law (I ∝ 1/r²) — Intensity follows the inverse-square law, I ∝ 1/r².

We receive heat radiations straight from the , without affecting the medium in between.

✔ Sun

Heat radiation is part of the spectrum.

✔ electromagnetic
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Topic 15

Thermal Conductivity

Thermal conductivity tells us how readily a solid lets heat pass through it.

Key Point
Thermal conductivity measures a solid's ability to conduct heat.
Conducting heat through solids
  • Silver and copper are good conductors; glass and wood are bad conductors (insulators) of heat.
  • The coefficient of thermal conductivity K is the heat flowing per unit time across opposite faces of a unit cube held at unit temperature difference.
  • K = (Q × L) ÷ (A × ΔT × t) — where Q = heat (J), L = length (m), A = area (), ΔT = temperature difference (K), t = time (s).
  • Unit of K = W·m⁻¹·K⁻¹.
📝 Quick self-test 2 MCQs · 2 fill-ups

Which pair are good conductors of heat?

  1. Glass and wood
  2. Silver and copper
  3. Rubber and plastic
  4. Air and water
B. Silver and copper — Silver and copper are good conductors of heat.

The unit of the coefficient of thermal conductivity K is:

  1. J kg⁻¹ K⁻¹
  2. W·m⁻¹·K⁻¹
  3. Pa·s
  4. N·m
B. W·m⁻¹·K⁻¹ — The unit of K is W·m⁻¹·K⁻¹.

Glass and wood are conductors (insulators) of heat.

✔ bad

Thermal conductivity measures a solid's ability to conduct .

✔ heat
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Topic 16

Thermodynamic Processes

A thermodynamic process happens whenever the state of a system changes — that is, when its pressure, volume, temperature or entropy changes with time.

Key Point
A cyclic process returns the system to its original state (a closed loop).
The main thermodynamic processes
ProcessDefinitionKey condition
Isothermaltakes place at constant temperatureT = constant
Isobarictakes place at constant pressureP = constant
Isochorictakes place at constant volumeV = constant
Adiabaticno heat enters or leaves the systemQ = 0 (no heat exchange)
Cyclic process
  • For a cyclic process, initial state = final state, so ΔU = 0 (change in internal energy is zero).
📝 Quick self-test 2 MCQs · 2 fill-ups

A thermodynamic process at constant temperature is called:

  1. Isobaric
  2. Isochoric
  3. Isothermal
  4. Adiabatic
C. Isothermal — An isothermal process takes place at constant temperature (T = constant).

An adiabatic process is one in which:

  1. Pressure is constant
  2. Volume is constant
  3. No heat enters or leaves the system
  4. Temperature is constant
C. No heat enters or leaves the system — In an adiabatic process, Q = 0 (no heat exchange).

An isochoric process takes place at constant .

✔ volume

For a cyclic process, the change in internal energy ΔU is .

✔ 0
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Topic 17

Laws of Thermodynamics

Thermodynamics rests on a small set of laws covering thermal equilibrium, energy conservation and the limits on converting heat into work.

Key Point
If A and B are each in thermal equilibrium with C, then A and B are in thermal equilibrium with each other (if A = C and B = C, then A = B).
Zeroth Law of Thermodynamics
  • Thermal equilibrium means no net heat flow, and the temperature of all three becomes the same.
First Law of Thermodynamics
  • The first law is a restatement of the conservation of energy — energy can neither be created nor destroyed, only converted from one form to another.
  • ΔU = Q − W — where ΔU = change in internal energy, Q = heat supplied to the system, W = work done by the system.
Second Law of Thermodynamics (Kelvin–Planck statement)
  • No engine can convert heat completely into work — 100% conversion of heat into work is impossible.
  • Real engines always reject some heat to a low-temperature reservoir.
  • Efficiency can never be 100%.
📝 Quick self-test 2 MCQs · 2 fill-ups

The first law of thermodynamics is a restatement of the:

  1. Conservation of momentum
  2. Conservation of energy
  3. Conservation of charge
  4. Law of inertia
B. Conservation of energy — The first law is a restatement of the conservation of energy.

The second law of thermodynamics states that:

  1. Heat can be fully converted into work
  2. No engine can convert heat completely into work
  3. Efficiency can be 100%
  4. Energy can be created
B. No engine can convert heat completely into work — No engine can convert heat completely into work; 100% conversion is impossible.

The first law of thermodynamics is written as ΔU = Q − .

✔ W

The law of thermodynamics defines thermal equilibrium.

✔ Zeroth
🌡️
Topic 18

Heat Engines, Refrigerators & Heat Pumps

A heat engine turns heat into work, while a refrigerator and a heat pump run the same cycle in reverse.

Key Point
A heat engine converts heat energy into work.
Heat engine
  • It has three parts: a source (high-temperature reservoir at T₁), a working substance, and a sink (low-temperature reservoir at T₂).
  • Schematic: Source (T₁) → Q₁ → working substance → W (work output); Q₂ is rejected to the sink (T₂).
  • Efficiency η = W/Q₁ = (Q₁ − Q₂)/Q₁ = 1 − Q₂/Q₁ — where Q₁ = heat absorbed from the source, Q₂ = heat rejected to the sink.
  • The efficiency of an internal combustion engine is about 40% to 60%.
Refrigerators & heat pumps
  • A refrigerator is the reverse of a heat engine.
  • A heat pump is essentially the same as a refrigerator.
  • Both use a work input W to move heat (Q₂) from the low-temperature reservoir (T₂) to the high-temperature reservoir (T₁), delivering Q₁.
📝 Quick self-test 2 MCQs · 2 fill-ups

A heat engine converts:

  1. Work into heat
  2. Heat energy into work
  3. Chemical energy into light
  4. Electrical energy into heat
B. Heat energy into work — A heat engine converts heat energy into work.

A refrigerator is essentially:

  1. A heat engine
  2. The reverse of a heat engine
  3. A transformer
  4. A conductor
B. The reverse of a heat engine — A refrigerator is the reverse of a heat engine.

The efficiency of a heat engine is η = 1 − Q₂/.

✔ Q₁

A heat pump is essentially the same as a .

✔ refrigerator
🎯
Recap

Quick Revision

Key Point
SI unit of heat = joule (J); practical unit = calorie, with 1 cal = 4.186 J and 1 J = 0.239 cal.
  • Heat always flows from higher to lower temperature; it is a scalar and is transferred, not stored.
  • Q = m·s·ΔT gives the heat needed to change a body's temperature.
  • Absolute zero = 0 K = −273.15°C, the lowest possible temperature, where molecular motion stops.
  • Scale conversions: K = °C + 273.15 and °F = (9/5)°C + 32.
  • Celsius (Andre Celsius, 1710), Fahrenheit (Gabriel Fahrenheit, 1717), Kelvin (Lord Kelvin, the SI absolute scale).
  • Water has its maximum density at 4°C — its anomalous expansion.
  • Triple point of water = 273.16 K (0.01°C) at low pressure, where ice, water and vapour coexist.
  • Ideal-gas equation PV = nRT, with R = 8.314 J·mol⁻¹·K⁻¹, combining Boyle's, Charles's and Avogadro's laws.
  • Conduction → solids; convection → liquids and gases; radiation → no medium needed and can cross a vacuum.
  • Radiation intensity obeys the inverse-square law I ∝ 1/r².
  • Silver and copper are good conductors; wood and glass are poor conductors of heat.
  • First law: ΔU = Q − W (energy conservation); second law: 100% heat-to-work conversion is impossible.
  • Zeroth law defines thermal equilibrium; a heat engine's efficiency η = 1 − Q₂/Q₁ and is never 100%.
  • A refrigerator and a heat pump are reversed heat engines, using work input to move heat from cold to hot.

Test Yourself

Take 5 questions at a time — tap an option to check. After each round, revise the notes above and take the retest for 5 fresh questions, until you've mastered the whole chapter.