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Physics · Class 11 Science

Ch 12Thermodynamics — Class 11 Physics, concept-first.

Thermodynamics is the branch of physics that studies the laws governing thermal energy — the conversion of work into heat and heat into work. You already know from daily life that rubbing your palms together makes them feel warmer. That is work being converted into heat.

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Key concepts

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In previous exams

How often this chapter’s concepts have been examined — real appearance data, never estimated.

Chapter contents

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

11.1

Introduction

Thermodynamics is the branch of physics that studies the laws governing thermal energy — the conversion of work into heat and heat into work.

11.2

Thermal Equilibrium

The idea of equilibrium is central to thermodynamics. A system is said to be in thermal equilibrium when its macroscopic properties — temperature, pressure, volume — do not change with time, and there…

11.3

Zeroth Law of Thermodynamics

Before the Zeroth Law can be stated, you need a clear picture of what "thermal equilibrium" means. Two systems are in thermal equilibrium when they are separated by a diathermic wall — a wall that all…

11.4

Heat, Internal Energy and Work

Thermodynamics studies how energy moves and changes form. At its heart lie three quantities that are intimately connected: heat (), internal energy (), and work ().

11.5

First Law of Thermodynamics

The first law of thermodynamics is the law of conservation of energy applied to thermodynamic systems. It states that energy can neither be created nor destroyed; it can only change forms.

11.6

Specific Heat Capacity

When you heat a substance, its temperature rises. But the amount of temperature rise for a given amount of heat depends on the substance itself.

11.7

Thermodynamic State Variables and Equation of State

A thermodynamic system is described by certain measurable quantities called state variables. These are properties that depend only on the current state of the system, not on how it reached that state.…

11.8

Thermodynamic Processes

A thermodynamic process is any change that a thermodynamic system undergoes — a change from one equilibrium state (initial state) to another equilibrium state (final state).

11.8.1

Quasi-static Process

In thermodynamics, we often want to study how a system changes from one equilibrium state to another. The simplest way to think about this is a sudden, violent change — like a gas expanding explosivel…

11.8.2

Isothermal Process

An isothermal process is a thermodynamic change that takes place at a constant temperature. The word itself comes from the Greek: iso (equal) and therme (heat).

11.8.3

Adiabatic Process

An adiabatic process is one in which no heat flows between the system and its surroundings. The word comes from Greek — adiabatos meaning "impassable" — and it describes a wall that heat cannot cross.

11.8.4

Isochoric Process

When a thermodynamic system undergoes a change while its volume remains strictly constant, the process is called isochoric (from Greek isos = equal, chora = space).

11.8.5

Isobaric Process

An isobaric process is a thermodynamic change that takes place at a constant pressure. The word itself comes from the Greek isos (equal) and baros (weight or pressure).

11.8.6

Cyclic Process

A thermodynamic process is called cyclic when the system, after undergoing a series of changes, returns exactly to its initial state.

11.9

Second Law of Thermodynamics

The first law of thermodynamics tells us that energy is conserved in every process. But it says nothing about which processes can actually happen.

11.10

Reversible and Irreversible Processes

In thermodynamics, a process is the path a system takes from one equilibrium state to another. But not all paths are equal.

11.11

Carnot Engine

The central question of practical heat-engine design is this: given a hot reservoir at temperature and a cold reservoir at , what is the maximum possible efficiency, and what cycle of processes achiev…

Summary

- Zeroth Law: If and are each in thermal equilibrium with , then and are in thermal equilibrium with each other. This defines temperature as a measurable property.

Points to Ponder

1. The temperature of an object depends on its average internal energy — the random, microscopic motion of its atoms and molecules.

Exercises

Exemplar Problems

Higher-order thinking / exemplar-style practice problems.

+Show 27 questions27 questions
  1. Q1An ideal gas undergoes four different processes starting from the same initial state, drawn on a $P$-$V$ diagram (pressure $P$ vertical, vol…Free
  2. Q2If an average person jogs, hse produces $14.5 \times 10^3$ cal/min. This is removed by the evaporation of sweat. The amount of sweat evapora…Free
  3. Q3An ideal gas is taken from state 1 to state 2 along a curve on a $P$-$V$ diagram for which $P=\dfrac{\text{Constant}}{V}$ (that is, $PV=$ co…Free
  4. Q4An ideal gas is carried once around the cyclic process $A\to B\to C\to D\to A$ on a $P$-$V$ diagram whose four corners are: $A$ at (volume $…Preview
  5. Q5Consider two containers A and B containing identical gases at the same pressure, volume and temperature. The gas in container A is compresse…Preview
  6. Q6Three copper blocks of masses $M_1$, $M_2$ and $M_3$ kg respectively are brought into thermal contact till they reach equilibrium. Before co…Preview
  7. Q7Which of the processes described below are irreversible? (Note: more than one of the given options may be correct.) (a) The increase in temp…Preview
  8. Q8An ideal gas undergoes isothermal process from some initial state i to final state f. Choose the correct alternatives. (Note: more than one…Preview
  9. Q9On a $P$-$V$ diagram an ideal gas changes state from $A$ to $B$. State $A$ is at the upper-left (higher pressure, smaller volume) and state…Preview
  10. Q10An engine is proposed to take one mole of an ideal gas once around the cycle $1\to2\to3\to1$ drawn on a $P$-$V$ diagram, where: $1\to2$ is i…Preview
  11. Q11A device operates between a hot reservoir at temperature $T_1$ (drawn at the top) and a cold reservoir at temperature $T_2$ (drawn at the bo…Preview
  12. Q12Can a system be heated and its temperature remains constant?Preview
  13. Q13A system goes from state $P$ to state $Q$ by two different paths, path 1 and path 2, on a $P$-$V$ diagram (both paths start at the same stat…Preview
  14. Q14If a refrigerator's door is kept open, will the room become cool or hot? Explain.Preview
  15. Q15Is it possible to increase the temperature of a gas without adding heat to it? Explain.Preview
  16. Q16Air pressure in a car tyre increases during driving. Explain.Preview
  17. Q17Consider a Carnot's cycle operating between $T_1 = 500$ K and $T_2 = 300$ K producing 1 kJ of mechanical work per cycle. Find the heat trans…Preview
  18. Q18A person of mass 60 kg wants to lose 5 kg by going up and down a 10 m high stairs. Assume he burns twice as much fat while going up than com…Preview
  19. Q19Consider a cycle tyre being filled with air by a pump. Let $V$ be the fixed volume of the tyre, and at each stroke of the pump a small volum…Preview
  20. Q20In a refrigerator one removes heat from a lower temperature and deposits to the surroundings at a higher temperature. In this process, mecha…Preview
  21. Q21If the co-efficient of performance of a refrigerator is 5 and operates at the room temperature (27 °C), find the temperature inside the refr…Preview
  22. Q22The initial state of a certain gas is ($P_i$, $V_i$, $T_i$). It undergoes expansion till its volume becoms $V_f$. Consider the following two…Preview
  23. Q23On a $P$-$V$ diagram, one mole of a perfect gas in a cylindrical container is taken from state 1 (pressure $P_1$, volume $V_1$, temperature…Preview
  24. Q24An engine made of one mole of a perfect gas in a cylinder with a piston is taken once around the cycle $A\to B\to C\to D\to A$ on a $P$-$V$…Preview
  25. Q25An engine made of one mole of an ideal gas in a cylinder with a piston is taken once around the cycle $A\to B\to C\to D\to A$ on a $P$-$V$ d…Preview
  26. Q26Consider that an ideal gas ($n$ moles) is expanding in a process given by $P = f(V)$, which passes through a point ($V_0$, $P_0$). Show that…Preview
  27. Q27One mole of a perfect gas is enclosed in a vertical cylinder of unit cross-sectional area fitted with a piston. A spring of spring constant…Preview