Calculate the temperature of $2 \text{ moles}$ of gas occupying a volume of $5.0 \text{ L}$ at a pressure of $24.6 \text{ atm}$. (Given: $R = 0.0821 \text{ L atm K}^{-1} \text{ mol}^{-1}$) (in $^\circ \text{C}$)

Volume of $0.5 \ mole$ of a gas at $1 \ atm$ pressure and $273 \ K$ is ............. $litres$.

$A$ glass vessel weighs $50.0 \, g$ when empty. When filled with a liquid of density $0.98 \, g \cdot mL^{-1}$,it weighs $148.0 \, g$. When filled with an ideal gas at $760 \, mm$ of $Hg$ pressure and $300 \, K$ temperature,it weighs $50.5 \, g$. Calculate the molar mass of the gas in $u$.

$A$ container is filled with nitrogen gas at a certain temperature and pressure. The mass of the gas is $0.6 \ g$. Now,the container is filled with another gas at the same temperature and pressure. If the mass of the second gas under the given conditions is $0.73 \ g$,identify the gas.

$A$ gas occupies a volume of $300 \ mL$ at $27 \ ^oC$ temperature and $730 \ mm$ pressure. What will be its volume at $STP$ in $mL$ (in $.2$)?

In the equation $PV = nRT$,which one cannot be the numerical value of $R$?