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 $R = 8.314 \ J K^{-1} mol^{-1}$)

How many moles of $He$ gas occupy $22.4 \, L$ at $30^{\circ}C$ and $1 \, atm$ pressure?

An $LPG$ (Liquefied Petroleum Gas) cylinder weighs $15.0 \ kg$ when empty. When full,it weighs $30.0 \ kg$ and shows a pressure of $3.0 \ atm$. In the course of usage at $27^{\circ}C$,the mass of the full cylinder is reduced to $24.2 \ kg$. The volume of the used gas in cubic metre at the normal usage condition ($1 \ atm$ and $27^{\circ}C$) is (assume $LPG$ to be normal butane and it behaves ideally). (in $m^3$)

For a fixed amount of gas at a constant temperature,which of the following is true?

$22 \, g$ of dry ice is placed in a $600 \, mL$ empty container at $25 \, ^\circ C$ and sealed tightly. If all the $CO_2$ evaporates,what will be the final pressure inside the container in $atm$?

$A$ container of volume $2.24 \, L$ can withstand a maximum pressure of $2 \, atm$ at $298 \, K$ before exploding. The maximum amount of nitrogen (in $g$) that can be safely put in this container at this temperature is closest to