When $0.0168 \, mol$ of $O_2$ obtained from the decomposition of $KClO_3$ is collected over water at $25 \, ^\circ C$,the volume is $428 \, mL$ and the pressure is $754 \, mm$. What is the water vapor pressure at $25 \, ^\circ C$ in $mm$?

At $STP$,$0.50 \ mol$ $H_2$ gas and $1.0 \ mol$ $He$ gas:

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

Equal moles of hydrogen and oxygen gases are placed in a container with a pin-hole through which both can escape. What fraction of the oxygen escapes in the time required for one-half of the hydrogen to escape?

Under the same $P$ and $T$,which of the following pairs of gases will diffuse at the same rate through a small jet?

Identify the correct statements from the following:
$I$. For an ideal gas,the compressibility factor is $1.0$.
$II$. The kinetic energy of $NO_{(g)}$ (molar mass $= 30 \ g \ mol^{-1}$) at $T(K)$ is $x \ J \ mol^{-1}$. The kinetic energy of $N_2O_{4(g)}$ (molar mass $= 92 \ g \ mol^{-1}$) at $T(K)$ is $2x \ J \ mol^{-1}$.
$III$. The rate of diffusion of a gas is inversely proportional to the square root of its density.