Volume occupied by a gas at $1 \, \text{atm}$ pressure and $0 \, ^\circ C$ is $V \, mL$. Its volume at $273 \, K$ will be

$A$ $10 \ g$ of a gas at atmospheric pressure is cooled from $273 \ ^oC$ to $0 \ ^oC$ keeping the volume constant,its pressure would become ............. $atm$.

$A$ balloon filled with an air sample occupies $3 \,L$ volume at $35^{\circ} C$. On lowering the temperature to $T$, the volume decreases to $2.5 \,L$. The temperature $T$ is (in $^{\circ} C$)? [Assume $p$-constant]

$A$ 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?

What is the density of one mole of $He$ (molar mass $= 4 \ g \ mol^{-1}$) at $300 \ K$ and a pressure of $0.82 \ atm$? $(R = 0.082 \ L \ atm \ mol^{-1} \ K^{-1})$

Which relation represents the change in density of an ideal gas with changes in temperature and pressure?