$A$ gas occupies $0.418 \, L$ at $27 \, ^oC$ and $740 \, mm \, Hg$ pressure. If the mass of the gas is $3.0 \, g$,what is its molar mass?

$A$ vessel of $120 \, mL$ capacity contains a certain amount of gas at $35^{\circ} C$ and $1.2 \, bar$ pressure. The gas is transferred to another vessel of volume $180 \, mL$ at $35^{\circ} C$. What would be its pressure?

The gram molecular volume of an ideal gas at $STP$ is $22400 \ cm^{3}$. However,for oxygen gas,the question asks for the volume. Given the options provided,the correct value for $1 \ \text{mole}$ of any ideal gas at $STP$ is $22400 \ cm^{3}$. Please note that the provided solution in the prompt was incorrect. (in $cm^{3}$)

If $2$ moles of an ideal gas at $546 \ K$ has a volume of $44.8 \ L$,then what will be its pressure (in $atm$)? $(R=0.082 \ L \ atm \ K^{-1} \ mol^{-1})$

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

Pay load is defined as the difference between the mass of displaced air and the mass of the balloon. Calculate the pay load when a balloon of radius $10 \, m$,mass $100 \, kg$ is filled with helium at $1.66 \, bar$ at $27^{\circ} C$. (Density of air $= 1.2 \, kg \, m^{-3}$ and $R = 0.083 \, bar \, dm^{3} \, K^{-1} \, mol^{-1}$).