Easy MCQ +4 / -1 PYQ · JEE Mains 2022

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

  1. A $\frac{n}{n+2}$ Correct answer
  2. B $\frac{n+2}{n}$
  3. C $\frac{n}{2n+2}$
  4. D $\frac{n}{n-2}$

Solution

<p>${C_V} = {{nR} \over 2}$</p> <p>And ${C_P} = {{nR} \over 2} + R$</p> <p>$$ \Rightarrow {{{C_V}} \over {{C_P}}} = {{{{nR} \over 2}} \over {{{nR} \over 2} + R}} = {n \over {n + 2}}$$</p>

About this question

Subject: Physics · Chapter: Thermodynamics · Topic: Zeroth and First Law

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