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JEE Main 202325 JanuaryEvening Shift
Exam
JEE Main
Year
2023
Date
25 January
Shift
Evening Shift
Subject
Physics
Chapter
Thermodynamics

JEE Main 2023 · 25 January · Evening Shift · Physics · Thermodynamics

Match List I with List II : List I List II A Isothermal Process I...

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 :

Options

  1. AA-II, B-I, C-III, D-IV
  2. BA-II, B-I, C-IV, D-III
  3. CA-I, B-II, C-IV, D-III
  4. DA-I, B-II, C-III, D-IV

Correct answer

B. A-II, B-I, C-IV, D-III

Step-by-step solution

(A) Change in internal energy is expressed as∆U=nCv∆T∆ U = n{C}_{v} ∆ T, here, ∆T∆ T is change in temperature.

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

A→IIA \to II

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

So, from first law of thermodynamics,

Q=∆U+WQ = ∆ U + W

∆U=−W∆ U = - W

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

B→IB \to I

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

C→IVC \to IV

(D) In an isobaric process, pressure remains constant, so work doneW=P∆V≠0W = P ∆ V \ne 0 and change in internal energy ∆U=nCv∆T≠0∆ U = n{C}_{v} ∆ T \ne 0

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

D→IIID \to III

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