THERMODYNAMICS-Objective Questions for Entrance Exams

Thermodynamics is one of the most conceptually intensive and frequently tested units in Physics across all major competitive examinations in India. From classical questions on the first law of thermodynamics, ideal gas processes, and heat engines, to advanced conceptual traps involving entropy, Carnot cycles, and reversible–irreversible processes, this chapter consistently distinguishes between superficial learning and true conceptual mastery. The following set of 50 carefully curated multiple-choice questions reflects patterns repeatedly observed in JEE (Main & Advanced), NEET (AIPMT), AIIMS, IIT-JEE (old), BITSAT, KVPY, Olympiads, and state-level engineering entrance exams. Each question is paired with a clear, logically reasoned explanation using clean inline MathJax, ensuring mathematical clarity without visual clutter. These MCQs are ideal for concept reinforcement, exam-level revision, and identifying common pitfalls faced by aspirants. The emphasis is not merely on arriving at the correct answer, but on understanding why other options fail—an approach essential for tackling assertion-reason, multi-concept, and numerical reasoning questions in high-pressure exam environments.

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THERMODYNAMICS

by Academia Aeternum

1. One mole of an ideal gas undergoes a cyclic process shown on a \(P\!-\!V\) diagram. The net work done in one complete cycle equals
(Exam: IIT-JEE Year: 1998)
2. In an isothermal expansion of an ideal gas, which quantity remains constant?
(Exam: NEET Year: 2016)
3. The internal energy of an ideal gas depends only on
(Exam: IIT-JEE Year: 2001)
4. In an adiabatic expansion of an ideal gas, the temperature of the gas
(Exam: AIIMS Year: 2012)
5. For an adiabatic process of an ideal gas, the correct relation is
(Exam: JEE Advanced Year: 2014)
6. The efficiency of a Carnot engine depends on
(Exam: IIT-JEE Year: 1995)
7. The value of \(\gamma\) for a monoatomic ideal gas is
(Exam: NEET Year: 2019)
8. In which process is no work done by the gas?
(Exam: BITSAT Year: 2011)
9. A refrigerator transfers heat from a cold body to a hot body. This is possible because
(Exam: AIIMS Year: 2010)
10. The SI unit of entropy is
(Exam: JEE Main Year: 2017)
11. For a reversible process, the entropy change of the universe is
(Exam: IIT-JEE Year: 2003)
12. Which of the following statements is correct?
(Exam: NEET Year: 2015)
13. In an isobaric process, the work done by a gas is
(Exam: JEE Main Year: 2018)
14. The coefficient of performance of an ideal refrigerator is always
(Exam: IIT-JEE Year: 1999)
15. During free expansion of a gas into vacuum, the temperature of an ideal gas
(Exam: KVPY Year: 2013)
16. Which law introduces the concept of absolute temperature?
(Exam: IIT-JEE Year: 1996)
17. The work done in an isothermal expansion of an ideal gas from \(V_1\) to \(V_2\) is
(Exam: JEE Advanced Year: 2012)
18. Which thermodynamic process is fastest?
(Exam: AIIMS Year: 2011)
19. The slope of an adiabatic curve on a \(P\!-\!V\) diagram is
(Exam: IIT-JEE Year: 2000)
20. Entropy is a measure of
(Exam: NEET Year: 2020)
21. The first law of thermodynamics is a statement of
(Exam: IIT-JEE Year: 1997)
22. For an ideal gas, \(C_P-C_V\) equals
(Exam: JEE Main Year: 2016)
23. Which cycle has the maximum possible efficiency?
(Exam: IIT-JEE Year: 2005)
24. A gas absorbs heat \(Q\) and does equal amount of work. The process is
(Exam: NEET Year: 2014)
25. Which of the following quantities can be negative?
(Exam: IIT-JEE Year: 2002)
26. The third law of thermodynamics states that at absolute zero, entropy is
(Exam: JEE Main Year: 2019)
27. Which process is represented by a vertical line on a \(P\!-\!V\) diagram?
(Exam: BITSAT Year: 2010)
28. The work done in a cyclic process is
(Exam: IIT-JEE Year: 1994)
29. In which process does temperature increase most rapidly with compression?
(Exam: JEE Advanced Year: 2011)
30. The efficiency of a heat engine is always
(Exam: NEET Year: 2018)
31. The unit of work in thermodynamics is
(Exam: AIIMS Year: 2009)
32. For an ideal gas undergoing adiabatic expansion, which remains constant?
(Exam: IIT-JEE Year: 2004)
33. Entropy change in a spontaneous process is
(Exam: NEET Year: 2021)
34. The area under a \(P\!-\!V\) curve represents
(Exam: IIT-JEE Year: 1993)
35. Which is not a thermodynamic state variable?
(Exam: JEE Main Year: 2015)
36. The slope of an isothermal curve on a \(P\!-\!V\) diagram is proportional to
(Exam: IIT-JEE Year: 2006)
37. Which process has maximum work output between given volumes?
(Exam: IIT-JEE Year: 2008)
38. In a reversible adiabatic process, entropy change is
(Exam: JEE Advanced Year: 2013)
39. Which of the following is impossible according to the second law?
(Exam: IIT-JEE Year: 1992)
40. The internal energy of an ideal gas during isothermal expansion
(Exam: NEET Year: 2013)
41. The specific heat at constant volume of a gas is defined as
(Exam: JEE Main Year: 2014)
42. The change in entropy of an ideal gas in a reversible isothermal process is
(Exam: IIT-JEE Year: 2007)
43. Which law of thermodynamics forbids perpetual motion machine of the first kind?
(Exam: NEET Year: 2017)
44. For a diatomic gas at room temperature, \(\gamma\) is approximately
(Exam: IIT-JEE Year: 1991)
45. Which process is also called an isentropic process?
(Exam: JEE Advanced Year: 2010)
46. The efficiency of a Carnot engine working between \(T_1\) and \(T_2\) is
(Exam: IIT-JEE Year: 2009)
47. Which quantity remains unchanged in free expansion of an ideal gas?
(Exam: NEET Year: 2022)
48. The work done by a gas in an isochoric process is
(Exam: JEE Main Year: 2020)
49. Which of the following increases during irreversible processes?
(Exam: IIT-JEE Year: 2001)
50. The fundamental limitation on the efficiency of heat engines is given by
(Exam: JEE Advanced Year: 2015)

Frequently Asked Questions

Thermodynamics is the branch of physics that deals with heat, work, energy, and the laws governing their interconversion in macroscopic systems.

A thermodynamic system is a specified quantity of matter or a region of space chosen for study, separated from its surroundings by a real or imaginary boundary.

The surroundings include everything outside the thermodynamic system that can interact with it by exchanging heat or work.

The thermodynamic state of a system is its condition described completely by state variables such as pressure, volume, and temperature.

State variables are physical quantities whose values depend only on the current state of the system and not on the path followed.

Pressure, volume, temperature, internal energy, entropy, and enthalpy are state variables.

Path variables are quantities whose values depend on the path taken during a process, such as heat and work.

A system is in thermodynamic equilibrium when it is simultaneously in thermal, mechanical, and chemical equilibrium.

An equation of state is a mathematical relation connecting state variables of a system in equilibrium, such as \(PV = nRT\).

An ideal gas is a hypothetical gas whose molecules do not interact except during elastic collisions and obey the ideal gas equation exactly.

The ideal gas equation is \(PV = nRT\), where symbols have their usual meanings.

Internal energy is the total microscopic energy of a system arising from molecular motion and interactions.

The internal energy of an ideal gas depends only on temperature.

The first law states that heat supplied to a system equals the increase in internal energy plus work done by the system.

\(\Delta Q = \Delta U + W\).

Work done is the energy transferred when a force acts through a distance, such as during expansion or compression of a gas.

Heat is energy transferred between a system and surroundings due to a temperature difference.

A quasi-static process proceeds infinitely slowly so that the system remains in equilibrium at every stage.

An isothermal process is one in which temperature remains constant throughout the process.

The system must be in thermal contact with a heat reservoir and the process must be slow.

An adiabatic process is one in which no heat is exchanged with the surroundings.

For an adiabatic process, \(\Delta Q = 0\).

An isochoric process is a thermodynamic process in which volume remains constant.

An isobaric process is a process carried out at constant pressure.

Because volume does not change, and work done\ (W = \int P,dV = 0\).

Specific heat capacity is the amount of heat required to raise the temperature of unit mass of a substance by one degree.

Molar heat capacity is the heat required to raise the temperature of one mole of a substance by one kelvin.

\(C_p\) is molar heat capacity at constant pressure and \(C_v\) is molar heat capacity at constant volume.

For an ideal gas, \(C_p - C_v = R\).

The second law states that natural processes have a preferred direction and heat cannot be completely converted into work.

It is impossible to convert all absorbed heat into work in a cyclic process using a single reservoir.

Heat cannot flow from a colder body to a hotter body without external work.

Yes, violation of one implies violation of the other.

A heat engine is a device that converts heat into work while operating in a cycle.

Efficiency is the ratio of work output to heat absorbed from the hot reservoir.

Because some heat must always be rejected to a cold reservoir, as required by the second law.

A refrigerator transfers heat from a colder region to a hotter region by consuming external work.

COP is the ratio of heat extracted from the cold reservoir to work done.

A reversible process can be reversed without leaving any net change in system and surroundings.

An irreversible process cannot be reversed without leaving permanent changes.

No, reversible processes are idealized and do not occur exactly in nature.

Entropy is a measure of disorder or randomness of a system.

Entropy of the universe increases in irreversible processes.

A Carnot engine is an ideal heat engine operating reversibly between two reservoirs.

Carnot efficiency is the maximum possible efficiency between two temperatures.

\(\eta = 1 - \frac{T_C}{T_H}\).

No, it depends only on reservoir temperatures.

It sets the upper limit of efficiency for all real engines.

No, absolute zero cannot be achieved.

It tests conceptual understanding, derivations, numericals, and real-life applications across CBSE, JEE, and NEET.

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