For a gas, $\frac{\mathrm{R}}{\mathrm{C}_{\mathrm{v}}}=0.4$ where R is the universal gas constant and '…
For a gas, $\frac{\mathrm{R}}{\mathrm{C}_{\mathrm{v}}}=0.4$ where R is the universal gas constant and ' $\mathrm{C}_{\mathrm{v}}$ ' is molar specific heat at constant volume. The gas is made up of molecules which are
rigid diatomic.
monoatomic.
non-rigid diatomic.
polyatomic.
Solution
$\begin{aligned}
& \text {Given: } \frac{R}{C_v}=0.4 \\
& C_V=\frac{R}{0.4}=\frac{5 R}{2} \\
& C_P=C_V+R \\
& \therefore \quad C_P=\frac{7 R}{2} \\
& \gamma=\frac{C_P}{C_v}=\frac{\frac{7}{2}}{\frac{5}{2}} \\
& \gamma=\frac{7}{5}
\end{aligned}$
$\therefore \quad$ The gas is made up of rigid diatomic molecules.
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