The molar specific heat of a mixture at constant volume,if one mole of $He$ gas is mixed with three moles of $O_2$ gas,is: (in $R$)

When $16 \, g$ of $O_2$ at $37^\circ C$ is added to $22 \, g$ of $CO_2$ at $27^\circ C$,what will be the final temperature in $^\circ C$?

$A$ gas mixture consists of equal masses of Helium and Oxygen. What is the ratio of $C_P$ to $C_V$ for the mixture?

Two gases have the same pressure $P$,temperature $T$,and volume $V$. If they are mixed and the final volume and temperature remain $V$ and $T$ respectively,what will be the final pressure?

One mole of a monoatomic ideal gas is mixed with one mole of a diatomic ideal gas. The molar specific heat of the mixture at constant volume is

If the speed of sound in a mixture of $2$ moles of Helium and $2$ moles of Hydrogen at temperature $\frac{972}{5} \,K$ is $n \times 100 \,ms^{-1}$, then the value of $n$ is (Take, $R=\frac{25}{3} \,J \,mol^{-1} \,K^{-1}$)