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JEE Main 202125 FebruaryMorning Shift
Exam
JEE Main
Year
2021
Date
25 February
Shift
Morning Shift
Subject
Physics
Chapter
Kinetic Theory of Gases

JEE Main 2021 · 25 February · Morning Shift · Physics · Kinetic Theory of Gases

A diatomic gas, having C _ P = (7)/(2)R and C _ V = (5)/(2)R, is...

A diatomic gas, having CP=72R{C}_{P} = \dfrac{7}{2}R and CV=52R,{C}_{V} = \dfrac{5}{2}R, is heated at constant pressure. The ratio dU:dQ:dWdU: dQ: dW

Options

  1. A3:5:23: 5: 2
  2. B5:7:35: 7: 3
  3. C5:7:25: 7: 2
  4. D3:7:23: 7: 2

Correct answer

C. 5:7:25: 7: 2

Step-by-step solution

dU=nCvdT⇒dQ=nCpdT⇒dW=PdV=nRdTdU = n{C}_{v}dT⇒ dQ = n{C}_{p}dT⇒ dW = PdV = nRdT (isobaric process)

dU:dQ:dW:Cv:Cp:R=5R2:7R2:R=5:7:2dU: dQ: dW: {C}_{v}: {C}_{p}: R= \dfrac{5R}{2}: \dfrac{7R}{2}: R = 5: 7: 2.

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