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

If $1 \ g$ of $CH_4$ gas effuses through a fine hole in $100 \ s$,how many grams of $SO_2$ gas will effuse in $100 \ s$ under the same conditions of temperature and pressure?

Ice and water are placed in a closed container at a pressure of $1 \ atm$ and temperature $273.15 \ K$. If the pressure of the system is increased $2$ times,keeping the temperature constant,then identify the correct observation from the following:

During the evaporation of a liquid,$..........$

Which of the following statements is incorrect?

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.