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Physics · Class 11 Science

Ch 8Heat and Thermodynamics — Class 11 Physics, concept-first.

Heat and temperature are part of everyday experience: every living thing depends on staying within a narrow temperature range to function at all, and life on Earth as a whole is only possible because the Sun keeps radiating energy at a steady, predictable rate.

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37

Concepts

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Key concepts

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Latent Heat and Change of State

When a substance changes state — solid to liquid (melting) or liquid to gas (boiling) — it absorbs heat without any change in temperature.

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Chapter contents

The NCERT structure, section by section. Open a section to see its questions, then read the concept-first solution.

8.1.1

Introduction

Heat and temperature are part of everyday experience: every living thing depends on staying within a narrow temperature range to function at all, and life on Earth as a whole is only possible because…

8.1

Heat, Work and Temperature

This short lead-in sets the stage for the whole unit by insisting, before any formula is introduced, that heat and work are both processes of energy transfer, never quantities an object can be said to…

8.1.2

Meaning of Heat

"Heat" names the energy that flows from a hotter object to a cooler one purely because of their temperature difference -- it is energy in transit, not a quantity a body possesses.

8.1.3

Meaning of Work

"Work," like heat, is a way energy is transferred from one body to another -- but crucially, work does not require the two interacting bodies to be at different temperatures at all.

8.1.4

Meaning of Temperature

Temperature measures the degree of hotness or coolness of a body -- the hotter a body, the higher its temperature -- and it is precisely this quantity that fixes the direction in which heat will spont…

8.2

Thermal Properties of Matter

This heading opens the first half of the unit, "Thermal Properties of Matter," which develops the everyday, macroscopic thermal behaviour of gases, liquids and solids -- starting from the ideal gas la…

8.2.1

Boyle's Law, Charles' Law and Ideal Gas Law

For a fixed amount of gas at low density, two empirical laws combine into the ideal gas law. Boyle's law: at constant temperature, pressure and volume are inversely related, .

8.2.2

Heat Capacity and Specific Heat Capacity

Different substances -- and different masses of the same substance -- take different amounts of heat to reach the same temperature rise, which motivates defining heat capacity (the heat needed to rais…

8.2.3

Thermal Expansion of Solids, Liquids and Gases

Thermal expansion is the tendency of matter to grow in length, area or volume as its temperature rises; gases expand the most (negligible intermolecular forces), then liquids (weaker forces than solid…

8.2.4

Anomalous Expansion of Water

Unlike most liquids, which simply contract on cooling at every temperature, water shows anomalous expansion: between 0°C and 4°C it actually contracts as it is heated (equivalently, it expands as it i…

8.2.5

Change of State

Matter changes between its three states -- solid, liquid, gas -- through five named processes: melting (solid→liquid), evaporation (liquid→gas), sublimation (solid→gas), freezing/solidification (liqui…

8.2.6

Calorimetry

Calorimetry is the measurement of the heat released or absorbed by a system during a heating process. If a hot body is placed in contact with a colder one and no heat escapes to the surroundings, the…

8.2.7

Heat Transfer

There are three distinct modes by which heat physically moves. Conduction is direct transfer through matter in contact, from hot to cold, without bulk motion of the material -- quantified by thermal c…

8.2.8

Newton's Law of Cooling

Newton's law of cooling states that the rate at which a hot object loses heat is proportional to how much hotter it currently is than its surroundings: , where is the surrounding temperature (the nega…

8.3

Laws of Heat Transfer

This short main heading opens the "Laws of Heat Transfer" section, which turns specifically to radiation -- the one heat-transfer mode that needs no medium at all -- and develops three linked ideas ac…

8.3.1

Prevost Theory of Heat Exchange and Emissivity

Prevost's theory of heat exchange states that every object at a temperature above absolute zero continuously emits thermal radiation into its surroundings, while simultaneously absorbing radiation arr…

8.3.2

Stefan Boltzmann Law

The Stefan-Boltzmann law states that the total heat radiated per second, per unit surface area, by a black body is directly proportional to the fourth power of its absolute temperature: where is the S…

8.3.3

Wien's Displacement Law

Every hot object radiates across a whole spread of wavelengths at once, but always with one particular wavelength, , at which the radiated intensity is greatest.

8.4

Thermodynamics

This heading opens the second half of the unit -- "Thermodynamics" proper -- marking the shift from the everyday, largely qualitative thermal properties of sections 8.2-8.3 into a systematic, quantita…

8.4.1

Introduction to Thermodynamic Systems

Thermodynamics is the branch of physics describing the laws governing the interconversion of work and heat, built up over three centuries of experimental work by Boyle, Charles, Bernoulli, Joule, Clau…

8.4.2

Thermal Equilibrium

Two bodies are said to be in thermal equilibrium with each other when they are at the same temperature, which then does not change with time -- and once thermal equilibrium is reached, there is no fur…

8.4.3

Thermodynamic State Variables and Equation of State

A system's state at equilibrium is described by thermodynamic (state) variables -- pressure, temperature, volume, internal energy, entropy -- whose values completely fix the equilibrium state, unlike…

8.5

Zeroth Law of Thermodynamics

The zeroth law of thermodynamics states that if two systems A and B are each separately in thermal equilibrium with a third system C, then A and B are also in thermal equilibrium with each other -- ma…

8.6

Internal Energy

The internal energy of a thermodynamic system is the sum of the kinetic and potential energies of all its molecules, measured relative to the system's own centre of mass: , where (internal kinetic ene…

8.6.1

Joule's Mechanical Equivalent of Heat

James Prescott Joule demonstrated experimentally, in the eighteenth century, that mechanical energy can be converted into internal energy and back again, disproving the earlier "caloric fluid" theory…

8.6.2

First Law of Thermodynamics

The first law of thermodynamics extends the law of conservation of energy to explicitly include heat: the change in a system's internal energy equals the heat supplied to it minus the work done by it…

8.6.3

Quasi-Static Process

A quasi-static process is an infinitely slow process in which a system's variables (, , ) change so gradually that the system remains, at every single instant, in thermal, mechanical and chemical equi…

8.6.4

Work Done in Volume Changes

When a gas held in a cylinder with a movable piston (Figure 8.21) expands quasi-statically, pushing the piston outward by a small distance , the small work it does is ; since the gas exerts force on t…

8.6.5

PV Diagram

A P-V diagram (Figure 8.22) plots a system's pressure against its volume as it undergoes a process, and is the standard graphical tool of thermodynamics because the area under the traced curve, betwee…

8.7

Specific Heat Capacity of a Gas

This short heading introduces a fact unique to gases: unlike solids and liquids, which effectively have just one specific heat capacity, a gas has two distinct specific heat capacities, because heatin…

8.7.1

Specific Heat Capacity at Constant Pressure and Constant Volume

Gases have two distinct specific heat capacities. Specific heat capacity at constant pressure (): the heat needed to raise 1 kg of gas by 1 K while it is free to expand and keep pressure fixed (Figure…

8.7.2

Meyer's Relation

Meyer's relation connects and for an ideal gas. Heating moles at constant volume by does no work, so all the heat raises internal energy: .

8.8

Thermodynamic Processes

This short heading introduces the four specific, named thermodynamic processes developed across the rest of section 8.8: isothermal (constant temperature), adiabatic (zero heat exchange), isobaric (co…

8.8.1

Isothermal Process

An isothermal process keeps temperature constant while pressure and volume vary. Since with fixed, , so , and the process traces a hyperbola (an "isotherm," Figure 8.25) on a P-V diagram; a curve clos…

8.8.2

Adiabatic Process

An adiabatic process has zero heat exchange, , so the first law reduces to : the gas expands only at the expense of its own internal energy (cooling), or is heated by external compression work done on…

8.8.3

Isobaric Process

An isobaric process occurs at constant pressure while temperature, volume and internal energy all vary.

8.8.4

Isochoric Process

An isochoric process holds volume fixed while pressure, temperature and internal energy vary. From with fixed, , giving a straight - line through the origin; on a P-V diagram, an isochoric process is…

8.8.5

Cyclic Processes

A cyclic process is one in which a system, after a series of changes, returns exactly to its initial state; since internal energy is a state variable, this means the net change in internal energy over…

8.8.6

PV Diagram for a Cyclic Process

On a P-V diagram, a cyclic process traces a closed loop (Figure 8.39), and the net work done over one complete cycle equals the area enclosed by that loop.

8.8.7

Limitations of the First Law of Thermodynamics

The first law of thermodynamics, being simply energy conservation, does not forbid heat flowing "backward" from a colder object to a hotter one, or a car's frictional heat spontaneously reassembling i…

8.8.8

Reversible and Irreversible Process

A thermodynamic process is reversible only if it is possible to exactly retrace its path in the opposite direction, so that both the system and its surroundings pass back through precisely the same se…

8.9

Heat Engine

A heat engine is a device that takes in heat and converts part of it into useful work, repeating a cyclic process indefinitely.

8.9.1

Carnot's Ideal Heat Engine

A Carnot engine, proposed by Sadi Carnot in 1824, is a hypothetical, perfectly reversible heat engine operating between two fixed temperatures, with four idealised parts: a source at constant , a sink…

8.9.2

Efficiency of a Carnot Engine

The Carnot engine's efficiency depends only on its two reservoir temperatures, not on the working substance.

8.9.3

Entropy and the Second Law of Thermodynamics

Since for a Carnot engine, the quantity is called entropy -- a state variable, with the entropy received from the hot reservoir and the entropy given out to the cold reservoir; for a reversible (Carno…

8.10

Refrigerator

A refrigerator is essentially a Carnot engine run in reverse (Figure 8.49): instead of extracting heat from a hot reservoir to do work, it uses external work (supplied by a compressor) to pump heat OU…

Green House Effect (Case Study)

The atmosphere warms Earth's surface by about 33°C between its coldest top layer (-19°C) and the ground (+14°C), an effect called the greenhouse effect, caused by gases -- mainly carbon dioxide and wa…

SUMMARY

A consolidated, bullet-point restatement of every idea developed across the unit: heat is energy in transit (never a stored quantity) flowing hot-to-cold; work transfers energy without requiring a tem…

CONCEPT MAP

The concept map traces how every idea in the unit connects back to a small handful of root concepts. Starting from Heat, Work, Ideal gas law and Thermal expansion/Heat capacity (grouped under "Thermal…

8.11

EVALUATION

102 Q

The end-of-unit evaluation, structured in the standard four parts used throughout the TN Physics Volume 2 textbook: Section I, 15 Multiple Choice Questions with an answer key printed at the end, spann…

+I. Multiple Choice Questions15 questions
  1. Q1In hot summer after a bath, the body's (a) internal energy decreases (b) internal energy increases (c) heat decreases (d) no change in inter…Free
  2. Q2The graph between volume and temperature in Charles' law is (a) an ellipse (b) a circle (c) a straight line (d) a parabolaFree
  3. Q3When a cycle tyre suddenly bursts, the air inside the tyre expands. This process is (a) isothermal (b) adiabatic (c) isobaric (d) isochoricFree
  4. Q4An ideal gas passes from one equilibrium state $(P_1, V_1, T_1, N)$ to another equilibrium state $(2P_1, 3V_1, T_2, N)$. Then (a) $T_1 = T_2…Preview
  5. Q5When a uniform rod is heated, which of the following quantity of the rod will increase (a) mass (b) weight (c) center of mass (d) moment of…Preview
  6. Q6When food is cooked in a vessel by keeping the lid closed, after some time the steam pushes the lid outward. By considering the steam as a t…Preview
  7. Q7When you exercise in the morning, by considering your body as a thermodynamic system, which of the following is true? (a) $\Delta U > 0, W >…Preview
  8. Q8A hot cup of coffee is kept on the table. After some time it attains a thermal equilibrium with the surroundings. By considering the air mol…Preview
  9. Q9An ideal gas is taken from $(P_i,V_i)$ to $(P_f,V_f)$ in three different ways, shown as three differently curved paths on a $P$-$V$ diagram…Preview
  10. Q10The V-T diagram of an ideal gas which goes through a reversible cycle $A\to B\to C\to D$ is shown below (a closed loop on a $V$-$T$ graph wi…Preview
  11. Q11A distant star emits radiation with maximum intensity at 350 nm. The temperature of the star is (a) 8280 K (b) 5000 K (c) 7260 K (d) 9044 KPreview
  12. Q12Identify the state variables given here? (a) Q, T, W (b) P, T, U (c) Q, W (d) P, T, QPreview
  13. Q13In an isochoric process, we have (a) W = 0 (b) Q = 0 (c) $\Delta U = 0$ (d) $\Delta T = 0$Preview
  14. Q14The efficiency of a heat engine working between the freezing point and boiling point of water is (NEET 2018) (a) 6.25% (b) 20% (c) 26.8% (d)…Preview
  15. Q15An ideal refrigerator has a freezer at temperature $-12°C$. The coefficient of performance of the engine is 5. The temperature of the air (t…Preview
+II. Short Answer Questions48 questions
  1. Q1'An object contains more heat' - is it a right statement? If not why?Free
  2. Q2Obtain an ideal gas law from Boyle's and Charles' law.Free
  3. Q3Define one mole.Free
  4. Q4Define specific heat capacity and give its unit.Preview
  5. Q5Define molar specific heat capacity.Preview
  6. Q6What is a thermal expansion?Preview
  7. Q7Give the expressions for linear, area and volume thermal expansions.Preview
  8. Q8Define latent heat capacity. Give its unit.Preview
  9. Q9State Stefan-Boltzmann law.Preview
  10. Q10What is Wien's law?Preview
  11. Q11Define thermal conductivity. Give its unit.Preview
  12. Q12What is a black body?Preview
  13. Q13What is a thermodynamic system? Give examples.Preview
  14. Q14What are the different types of thermodynamic systems?Preview
  15. Q15What is meant by 'thermal equilibrium'?Preview
  16. Q16What is mean by state variable? Give example.Preview
  17. Q17What are intensive and extensive variables? Give examples.Preview
  18. Q18What is an equation of state? Give an example.Preview
  19. Q19State Zeroth law of thermodynamics.Preview
  20. Q20Define the internal energy of the system.Preview
  21. Q21Are internal energy and heat energy the same? Explain.Preview
  22. Q22Define one calorie.Preview
  23. Q23Did Joule convert mechanical energy to heat energy? Explain.Preview
  24. Q24State the first law of thermodynamics.Preview
  25. Q25Can we measure the temperature of the object by touching it?Preview
  26. Q26Give the sign convention for Q and W.Preview
  27. Q27Define the quasi-static process.Preview
  28. Q28Give the expression for work done by the gas.Preview
  29. Q29What is PV diagram?Preview
  30. Q30Explain why the specific heat capacity at constant pressure is greater than the specific heat capacity at constant volume.Preview
  31. Q31Give the equation of state for an isothermal process.Preview
  32. Q32Give an expression for work done in an isothermal process.Preview
  33. Q33Express the change in internal energy in terms of molar specific heat capacity.Preview
  34. Q34Apply first law for (a) an isothermal (b) adiabatic (c) isobaric processes.Preview
  35. Q35Give the equation of state for an adiabatic process.Preview
  36. Q36Give an equation of state for an isochoric process.Preview
  37. Q37If the piston of a container is pushed fast inward, will the ideal gas equation be valid in the intermediate stage? If not, why?Preview
  38. Q38Draw the PV diagram for a. Isothermal process b. Adiabatic process c. Isobaric process d. Isochoric processPreview
  39. Q39What is a cyclic process?Preview
  40. Q40What is meant by a reversible and irreversible process?Preview
  41. Q41State Clausius form of the second law of thermodynamics.Preview
  42. Q42State Kelvin-Planck statement of second law of thermodynamics.Preview
  43. Q43Define heat engine.Preview
  44. Q44What are the processes involved in a Carnot engine?Preview
  45. Q45Can the given heat energy be completely converted to work in a cyclic process? If not, when can heat be completely converted to work?Preview
  46. Q46State the second law of thermodynamics in terms of entropy.Preview
  47. Q47Why does heat flow from a hot object to a cold object?Preview
  48. Q48Define the coefficient of performance.Preview
+III. Long Answer Questions24 questions
  1. Q1Explain the meaning of heat and work with suitable examples.Free
  2. Q2Discuss the ideal gas laws.Free
  3. Q3Explain in detail the thermal expansion.Free
  4. Q4Describe the anomalous expansion of water. How is it helpful in our lives?Preview
  5. Q5Explain calorimetry and derive an expression for final temperature when two thermodynamic systems are mixed.Preview
  6. Q6Discuss various modes of heat transfer.Preview
  7. Q7Explain in detail Newton's law of cooling.Preview
  8. Q8Explain Wien's law and why our eyes are sensitive only to visible rays.Preview
  9. Q9Discuss the a. thermal equilibrium b. mechanical equilibrium c. Chemical equilibrium d. thermodynamic equilibrium.Preview
  10. Q10Explain Joule's experiment of the mechanical equivalent of heat.Preview
  11. Q11Derive the expression for the work done in a volume change in a thermodynamic system.Preview
  12. Q12Derive Meyer's relation for an ideal gas.Preview
  13. Q13Explain in detail the isothermal process.Preview
  14. Q14Derive the work done in an isothermal process.Preview
  15. Q15Explain in detail an adiabatic process.Preview
  16. Q16Derive the work done in an adiabatic process.Preview
  17. Q17Explain the isobaric process and derive the work done in this process.Preview
  18. Q18Explain in detail the isochoric process.Preview
  19. Q19What are the limitations of the first law of thermodynamics?Preview
  20. Q20Explain the heat engine and obtain its efficiency.Preview
  21. Q21Explain in detail the Carnot heat engine.Preview
  22. Q22Derive the expression for Carnot engine efficiency.Preview
  23. Q23Explain the second law of thermodynamics in terms of entropy.Preview
  24. Q24Explain in detail the working of a refrigerator.Preview
+IV. Exercises15 questions
  1. Q1Calculate the number of moles of air in the inflated balloon at room temperature, as shown in the figure. The radius of the balloon is 10 cm…Free
  2. Q2On the planet Mars, the average temperature is around $-53°C$ and the atmospheric pressure is 0.9 kPa. Calculate the number of moles of the…Free
  3. Q3An insulated container of gas has two chambers separated by an insulating partition. One of the chambers has volume $V_1$ and contains ideal…Free
  4. Q4The temperature of a uniform rod of length $L$ having a coefficient of linear expansion $\alpha_L$ is changed by $\Delta T$. Calculate the n…Preview
  5. Q5Draw the TP diagram (P along the x-axis, T along the y-axis) and VT diagram (T along the x-axis, V along the y-axis) for a. Isochoric proces…Preview
  6. Q6A man starts bicycling in the morning at a temperature around 25°C; he checked the pressure of the tyre which was equal to 500 kPa. In the a…Preview
  7. Q7Normal human body temperature is 98.6°F. During high fever, if the temperature increases to 104°F, what is the change in the peak wavelength…Preview
  8. Q8In an adiabatic expansion of air, the volume is increased by 4%. What is the percentage change in pressure? (For air, $\gamma = 1.4$.)Preview
  9. Q9In a petrol engine (internal combustion engine), air at atmospheric pressure and a temperature of 20°C is adiabatically compressed in the cy…Preview
  10. Q10Consider the following cyclic process, consisting of an isotherm, an isochoric process and an isobaric process, which is given in the figure…Preview
  11. Q11An ideal gas is taken through a cyclic process as shown in the figure: a closed loop on a $P(\text{Pa})$ vs $V(\text{m}^3)$ diagram through…Preview
  12. Q12For a given ideal gas, $6\times 10^5\ \text{J}$ of heat energy is supplied and the volume of the gas is increased from $4\ \text{m}^3$ to $6…Preview
  13. Q13Suppose a person wants to increase the efficiency of a reversible heat engine that is operating between 100°C and 300°C. There are two ways…Preview
  14. Q14A Carnot engine whose efficiency is 45% takes heat from a source maintained at a temperature of 327°C. To have an engine of efficiency 60% f…Preview
  15. Q15An ideal refrigerator keeps its contents at 0°C while the room temperature is 27°C. Calculate its coefficient of performance.Preview

ICT Corner

An "ICT Corner" activity box directs students to an online interactive simulation titled "Pressure and Volume Diagram," hosted at Boston University (physics.bu.edu), accessible either via the printed…

Sample & Board Papers

Sample papers and previous-year board questions for this subject.

+Show 24 questions24 questions
  1. Q1The process in which heat transfer is by actual movement of molecules in fluids such as liquids and gases is called : (a) Thermal conductivi…Preview
  2. Q2A refrigerator has COP of 3. How much work must be supplied to a refrigerator in order to remove 200 J of heat from its interior ? (a) 33.33…Preview
  3. Q3In an isochoric process, find which is relevant among the following : (a) Delta U = 0 (b) Delta T = 0 (c) W = 0 (d) Q = 0Preview
  4. Q4State Stefan - Boltzmann Law and write its expression.Preview
  5. Q5Explain linear expansion of solid.Preview
  6. Q6(a) Derive Mayer's relation for an ideal gas. **OR** (b) Explain the horizontal oscillations of a spring.Preview
  7. Q7All natural processes occur such that entropy should: (a) always increase (b) always decrease (c) first increase and then decrease (d) does…Preview
  8. Q8What is P-V diagram?Preview
  9. Q9Why does heat flow from a hot object to cold object?Preview
  10. Q10(a) What is thermal expansion? Explain the three types of thermal expansion and obtain the relation between them. **OR** (b) What are statio…Preview
  11. Q11The efficiency of a heat engine working between the freezing point and boiling point of water is : (a) 26.8% (b) 6.25% (c) 12.5% (d) 20%Preview
  12. Q12State Wien's Displacement Law.Preview
  13. Q13A person does 30 kJ work on 2 kg of water by stirring using a paddle wheel. While stirring, around 5 kcal of heat is released from water thr…Preview
  14. Q14State Zeroth Law of Thermodynamics.Preview
  15. Q15During a cyclic process, a heat engine absorbs 600 J of heat from a hot reservoir, does work and ejects an amount of heat 200 J into the sur…Preview
  16. Q16The SI unit for specific heat capacity is: (a) J kg^-1 K^-1 (b) J kg^-1 (c) K kg^-1 J^-1 (d) J kg K^-1Preview
  17. Q17When a cycle tyre suddenly bursts, the air inside the tyre expands. This process is: (a) isobaric (b) isothermal (c) isochoric (d) adiabaticPreview
  18. Q18A person does 30 kJ work on 2 kg of water by stirring, using a paddle wheel. While stirring, around 5 kcal of heat is released from water th…Preview
  19. Q19A refrigerator has COP of 4. How much work must be supplied to the refrigerator in order to remove 300 J of heat from its interior? (a) 600…Preview
  20. Q20What is a PV diagram?Preview
  21. Q21Explain various modes of heat transfer.Preview
  22. Q22When a uniform rod is heated, which of the following quantities of the rod will increase? (a) Mass (b) Moment of inertia (c) Weight (d) Cent…Preview
  23. Q23State Wien's law.Preview
  24. Q24Draw one PV diagram each for (i) isothermal process, (ii) isobaric process and (iii) isochoric process.Preview