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JEE Main 202331 JanuaryMorning Shift
Exam
JEE Main
Year
2023
Date
31 January
Shift
Morning Shift
Subject
Physics
Chapter
Thermodynamics

JEE Main 2023 · 31 January · Morning Shift · Physics · Thermodynamics

The correct relation between γ = C _ P C _ V and temperature T is :

The correct relation between γ=CPCV\gamma = \dfrac{{C}_{P}}{{C}_{V}} and temperature TT is :

Options

  1. Aγ∝1T\gamma ∝ \dfrac{1}{\sqrt{T}}
  2. Bγ∝T0\gamma ∝ {T}^{0}
  3. Cγ∝1T\gamma ∝ \dfrac{1}{T}
  4. Dγ∝T\gamma ∝ T

Correct answer

B. γ∝T0\gamma ∝ {T}^{0}

Step-by-step solution

The ratio of molar specific heat capacity at constant pressure to the molar specific heat capacity at constant volume is

CPCV=γ\dfrac{{C}_{P}}{{C}_{V}} = \gamma

where γ\gamma is constant for a given gas.

Therefore,

CPCV∝T0\dfrac{{C}_{P}}{{C}_{V}} ∝ {T}^{0}

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