If $N_2$ gas is compressed at $2 \text{ atm}$ from $9.0 \text{ L}$ to $3.0 \text{ L}$ at $300 \text{ K}$, find the final pressure at the same temperature. (in $\text{ atm}$)

Match the following gas laws with their respective equations.

Equal volumes of two gases which do not react together are enclosed in separate vessels. Their pressures are $100 \ mm$ and $400 \ mm$ respectively. If the two vessels are joined together,then what will be the pressure of the resulting mixture (temperature remaining constant)?

Volume of a balloon at $25^{\circ} C$ and $1 \ bar$ pressure is $2.27 \ L$. If the pressure of the gas in the balloon is reduced to $0.227 \ bar$,what is the rise in volume of the gas (in $L$)?

At $27\,^oC$ temperature in a $2\, L$ closed vessel,$10\, g$ of $H_2$ and $22\, g$ of $CO_2$ gases are filled. Find the partial pressure of each gas and the total pressure of the mixture. (Use $R = 0.08314\, L \cdot bar \cdot K^{-1} \cdot mol^{-1}$ and formula $pV = nRT$)

$A$ dry gas occupies $136.5 \, cm^3$ at $STP$. If the same mass of gas is collected over water at $27 \, ^oC$ and a total pressure of $725 \, torr$,what volume will it occupy in $cm^3$? (Vapour pressure of water at $27 \, ^oC$ is $25 \, torr$.)