When $48 \, L$ of dry $N_2$ gas at $27 \, ^oC$ is passed through $36 \, g$ of water,the weight of water decreases by $1.20 \, g$. What is the vapor pressure of water in $atm$?

Two statements are given below.
Statement-$I$: The ratio of the molar volume of a gas to that of an ideal gas at constant temperature and pressure is called the compressibility factor.
Statement-$II$: The $RMS$ velocity of a gas is directly proportional to the square root of $T(K)$.
The correct answer is

The rate of diffusion of $H_2$ is .......

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

Which one of the following is the kinetic energy of a gaseous mixture containing $3 \ g$ of hydrogen and $80 \ g$ of oxygen at temperature $T(K)$ (in $RT$)?

$A$ box of $1 \, L$ capacity is divided into two equal parts by a thin partition,which are filled with $2 \, g$ of $H_2$ and $16 \, g$ of $CH_4$ respectively. The temperature of each part is $T$. The pressure in each part is $P$. If the partition is removed,the total pressure will be: