$28 \ g$ of $N_2$ gas occupies $10 \ L$ volume at $2.46 \ atm$ pressure. Calculate the temperature in $K$.

$A$ vacuum vessel of volume $1 \, dm^3$ is evacuated at a constant temperature of $-23 \, ^\circ C$ until the pressure drops to $7.6 \times 10^{-5} \, torr$. What is the number of molecules remaining in the vessel?

If $P$,$V$,$M$,$T$ and $R$ are pressure,volume,molar mass,temperature and gas constant respectively,then for an ideal gas,the density is given by

$A$ gas occupies a volume of $0.35 \ dm^3$ at $290 \ K$ and $2 \ atm$ pressure. Calculate the volume of the gas at $STP$. (in $dm^3$)

An open vessel containing air was heated from $27^{\circ} C$ to $727^{\circ} C$. Some air was expelled. What is the fraction of air remaining in the vessel? (Assume air as an ideal gas)

What is the value of the ratio of density $(d)$ to molar mass $(M)$ for an ideal gas?