At a given temperature,the density of gas $x$ is twice that of gas $y$. The molar mass of $x$ is one-third of the molar mass of $y$. What is the ratio of their pressures $(P_x / P_y)$?

The gas equation $PV = nRT$ is applicable for which of the following conditions?

An $LPG$ cylinder contains gas at a pressure of $300 \ kPa$ at $27^{\circ} C$. The cylinder can withstand a pressure of $1.2 \times 10^{6} \ Pa$. The room in which the cylinder is kept catches fire. The minimum temperature at which the bursting of the cylinder will take place is $.....^{\circ} C$. (Nearest integer)

$A$ certain sample of gas has a volume of $0.2 \ L$ measured at $1 \ atm$ pressure and $0 \ ^oC$. At the same pressure but at $273 \ ^oC$,its volume will be ................ $L$.

$A$ 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 volume of a given mass of a gas is directly proportional to its Kelvin temperature at constant pressure. The above statement is known as . . . . . .