Calculate the new volume of a gas at constant pressure when temperature is increased to $546 \ K$.
[Initial volume of a gas at $273 \ K$ is $4 \ dm^3$] (in $dm^3$)

Match the following gas laws with their respective equations.

Calculate the volume occupied by $8.8 \,g$ of $CO_{2}$ at $31.1^{\circ} C$ and $1 \,bar$ pressure.
( $R=0.083 \,bar \,L \,K^{-1} \,mol^{-1}$ )

An ideal gas is compressed from a volume of $1 \ m^3$ to $0.5 \ m^3$ at a constant pressure of $0.2 \ bar$. What is the value of work done on the gas during compression (in $kJ$)?

$100 \, mL$ of $O_2$ and $H_2$ are kept at the same temperature and pressure. Which of the following is true regarding the number of molecules?

When the applied pressure is $16 \ atm$,the temperature is $27 \ ^oC$,and the volume is $9 \ L$,what will be the weight of $CH_4$ gas in $gm$? (Given $R = 0.08 \ L \ atm \ K^{-1} \ mol^{-1}$)