Equal weights of $CH_4$ and $H_2$ are mixed in an empty container at $25 \, ^oC$. The fraction of the total pressure exerted by $H_2$ would be

$CH_4$ diffuses two times faster than a gas $X$. The number of molecules present in $32 \ g$ of gas $X$ is ($N$ is Avogadro number).

Which of the following graphs represents the behavior of one mole of an ideal gas at $1 \ atm$ pressure for volume $V$ versus temperature $T$?

The pressure of a moist gas at $27^{\circ}C$ is $4 \ atm$. The volume of the container is doubled at the same temperature. The new pressure of the moist gas is $x \times 10^{-1} \ atm$. Find the value of $x$. (Nearest integer) (Given: The vapour pressure of water at $27^{\circ}C$ is $0.4 \ atm$)

Identify the correct statements from the following:
$(A)$ The compressibility factor $(Z)$ for an ideal gas is $1$.
$(B)$ Uranium isotopes (${ }^{235}U$ and ${ }^{238}U$) are separated by converting them into $UF_6$ vapours.
$(C)$ Decrease in temperature increases the kinetic energy of gas molecules.

When equal volumes of helium and neon at same temperature and pressure are mixed,the ratio $C_p: C_V$ of the mixture equals