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Question: Answered & Verified by Expert

Match List I with List II :

  List I   List II
A Isothermal Process I Work done by the gas decreases internal energy
B Adiabatic Process II No change in internal energy
C Isochoric Process III The heat absorbed goes partly to increase internal energy and partly to do work
D Isobaric Process IV No work is done on or by the gas

Choose the correct answer from the options given below :

PhysicsThermodynamicsJEE MainJEE Main 2023 (25 Jan Shift 2)
Options:
  • A A-II, B-I, C-III, D-IV
  • B A-II, B-I, C-IV, D-III
  • C A-I, B-II, C-IV, D-III
  • D A-I, B-II, C-III, D-IV
Solution:
2327 Upvotes Verified Answer
The correct answer is: A-II, B-I, C-IV, D-III

(A) Change in internal energy is expressed asU=nCvT, here, T is change in temperature.

Since, in an isothermal process temperature remains constant, thus, U=0

AII

(B) In an adiabatic process, heat transfer, Q = 0.

So, from first law of thermodynamics, 

Q=U +W

U=-W

Since, work done by gas is positive, thus, U is negative

BI

(C) In an isochoric process, volume remains constant, so work done by or on the gas W =PV=0

CIV

(D) In an isobaric process, pressure remains constant, so work doneW=PV0 and change in internal energy U=nCvT0

Thus, heat absorbed goes partly to increase internal energy and partly do work.

DIII

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