Q101 / 150 · MHT CET 2016 · Physics

For a gas $\frac{R}{C_{v}} = 0.4,$ where $R$ is the universal gas constant and $C_{v}$ is the molar specific heat at constant volume. The gas is made up of molecules which are

Correct answer
A
rigid diatomic
B
monoatomic
C
non- rigid diatomic
D
polyatomic

Solution

\frac{R}{C_{v}} = 0.4 \Rightarrow \frac{C_{p} - C_{v}}{C_{v}} = 0.4

\frac{C_{p}}{C_{v}} - 1 = 0.4

∴ \frac{C_{p}}{C_{v}} = 1.4 \Rightarrow γ = 1.4

As

γ = 1.4

, the gas is diatomic in nature. Example, air molecules.

Hence, the correct answer is option: 'A'.

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