When equal volumes of helium and neon at same temperature and pressure are mixed, the ratio $C_p: C_V$ of…
When equal volumes of helium and neon at same temperature and pressure are mixed, the ratio $C_p: C_V$ of the mixture equals
$3: 5$
$1: 2$
$5: 3$
$2: 1$
Solution
Equal volume of $\mathrm{He}$ and $\mathrm{Ne}$ are mixed which are monoatomic gases.
$C_p$ is molar specific heat capacity at constant pressure.
$C_V$ is molar specific heat capacity at constant volume.
Degree of freedom $(f)$ for monoatomic gas $=3$
$
\begin{aligned}
& \frac{C_p}{C_V}=1+\frac{2}{f}=1+\frac{2}{3}=\frac{5}{3} \\
& \frac{C_p}{C_V}=\frac{5}{3}
\end{aligned}
$