The pressure exerted by $6.0 \ g$ of methane gas in a $0.03 \ m^3$ vessel at $129^{\circ} C$ is $........ \ Pa$ (Atomic masses : $C = 12.01, H = 1.01$ and $R = 8.314 \ J K^{-1} mol^{-1}$)

What is the volume in $litre$ occupied by $7 \, g$ of $N_2$ gas at $27 \, ^oC$ temperature and $750 \, mm \, Hg$ pressure?

If the temperature of a fixed mass of gas is increased by $1\,^{\circ}C$ at constant pressure,what will be the new volume of the gas?

Densities of a gas at different conditions are in the ratio $1:2$ and their temperatures are in the ratio $2:1$,then the ratio of their respective pressure is :-

An $LPG$ cylinder contains gas at a pressure of $300 \ kPa$ at $27^{\circ} C$. The cylinder can withstand a pressure of $1.2 \times 10^{6} \ Pa$. The room in which the cylinder is kept catches fire. The minimum temperature at which the bursting of the cylinder will take place is $.....^{\circ} C$. (Nearest integer)

What is the molar volume of a gas? What is its value taken as?