$Reason :$ When a gas is heated at constant volume some extra heat is needed compared to that at constant pressure for doing work in expansion.
$\left(\right.$ Given $\left.{k}_{{B}}=1.38 \times 10^{-23} \, {J} / {K}\right)$
(Fill the nearest integer).
$(A)$ The average energy per mole of the gas mixture is $2RT$.
$(B)$ The ratio of speed of sound in the gas mixture to that in helium gas is $\sqrt{6 / 5}$.
$(C)$ The ratio of the rms speed of helium atoms to that of hydrogen molecules is $1 / 2$.
$(D)$ The ratio of the rms speed of helium atoms to that of hydrogen molecules is $1 / \sqrt{2}$.