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Heat and Thermodynamics question

2025 · 23 Jan · Shift 1 · Q56
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Heat and Thermodynamics question

2025 · 23 Jan · Shift 1 · Q56

JEE MainPhysicsHeat and ThermodynamicsMCQ+4 / −1

Match the List - I with List - II

List - I List - II
(A) Pressure varies inversely with volume of an ideal gas. (I) Adiabatic process
(B) Heat absorbed goes partly to increase internal energy and partly to do work. (II) Isochoric process
(C) Heat is neither absorbed nor released by a system. (III) Isothermal process
(D) No work is done on or by a gas. (IV) Isobaric process

Choose the correct answer from the options given below:

  1. A
    A-I, B-III, C-II, D-IV
  2. B
    A-I, B-IV, C-II, D-III
  3. C
    A-III, B-I, C-IV, D-II
  4. D
    A-III, B-IV, C-I, D-II
View written solutionFree

Correct answer: D

  1. We match each statement in List-I with the thermodynamic process in List-II.

  1. (A) Pressure varies inversely with volume of an ideal gas.

For an ideal gas in an isothermal process, temperature remains constant, so PV=constantPV = \text{constant}PV=constant Thus, P∝1VP \propto \frac{1}{V}P∝V1​ So, (A) →\to→ (III) Isothermal process.


  1. (B) Heat absorbed goes partly to increase internal energy and partly to do work.

From the first law of thermodynamics, ΔQ=ΔU+W\Delta Q = \Delta U + WΔQ=ΔU+W In an isobaric process (constant pressure), when heat is supplied, part of it increases internal energy and part is used in expansion work. So, (B) →\to→ (IV) Isobaric process.


  1. (C) Heat is neither absorbed nor released by a system.

This is the definition of an adiabatic process: Q=0Q = 0Q=0 So, (C) →\to→ (I) Adiabatic process.


  1. (D) No work is done on or by a gas.

Work done by a gas is W=∫P dVW = \int P\, dVW=∫PdV If volume does not change, dV=0dV=0dV=0, hence W=0W=0W=0 This is an isochoric process. So, (D) →\to→ (II) Isochoric process.


  1. Final matching:
  • A→IIIA \to IIIA→III
  • B→IVB \to IVB→IV
  • C→IC \to IC→I
  • D→IID \to IID→II

This corresponds to Option D.


  1. Comparison with stored answer

Stored correct answer: D

Our derived answer: D

Hence, the answer agrees with the stored correct answer.

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