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JEE Main 202226 JulyEvening Shift
Exam
JEE Main
Year
2022
Date
26 July
Shift
Evening Shift
Subject
Physics
Chapter
Kinetic Theory of Gases

JEE Main 2022 · 26 July · Evening Shift · Physics · Kinetic Theory of Gases

A gas has n degrees of freedom. The ratio of specific heat of gas...

A gas has nn degrees of freedom. The ratio of specific heat of gas at constant volume to the specific heat of gas at constant pressure will be

Options

  1. Ann+2\dfrac{n}{n + 2}
  2. Bn+2n\dfrac{n + 2}{n}
  3. Cn2n+2\dfrac{n}{2n + 2}
  4. Dnn−2\dfrac{n}{n - 2}

Correct answer

A. nn+2\dfrac{n}{n + 2}

Step-by-step solution

For a gas having degrees of freedom nn,

CV=nR2{C}_{V} = \dfrac{nR}{2} and using Mayer's relation CP=CV+R{C}_{P} = {C}_{V} + R. Therefore,

CVCP=nn+2\dfrac{{C}_{V}}{{C}_{P}} = \dfrac{n}{n + 2}.

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