Verified Solution • 2025–26 Session moderate

QJEEM22Ph78de: JEE Main 2022 Physics - Class 11 JEEM22Ph78de Solution: A gas has 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 :

Multiple Choice Options

  • A nn+2\frac{n}{n+2}
  • B n+2n\frac{n+2}{n}
  • C n2n+2\frac{n}{2n+2}
  • D nn−2\frac{n}{n-2}

Step-by-Step Verified Solution

CV=nR2{C_V} = {{nR} \over 2}

And CP=nR2+R{C_P} = {{nR} \over 2} + R

⇒CVCP=nR2nR2+R=nn+2\Rightarrow {{{C_V}} \over {{C_P}}} = {{{{nR} \over 2}} \over {{{nR} \over 2} + R}} = {n \over {n + 2}}

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