$A$ $5.75 \ g$ sample of a gas occupies $3.5 \ L$ at $55 \ ^oC$ and $0.940 \ atm$ pressure. What is the molecular weight of the gas?

What will be the minimum pressure required to compress $500 \, dm^{3}$ of air at $1 \, bar$ to $200 \, dm^{3}$ at $30^{\circ} C$ (in $, bar$)?

$A$ gas cylinder contains cooking gas at $14.9 \ atm$ pressure. The pressure gauge of the cylinder reads $12 \ atm$ at $27 \ ^oC$. If the cylinder bursts due to a sudden fire in the building,at what temperature in $^oC$ will the cylinder burst?

When $5 \, g$ of $XeF_4$ gas is filled in a $6 \, L$ container at $80 \, ^oC$,the pressure exerted by the gas will be ......... $atm$.

If $P$ is pressure and $\rho$ is density of a gas,then $P$ and $\rho$ are related as

State the combined gas law and the ideal gas equation.