State the combined gas law and the ideal gas equation.

At what temperature $K$ will the kinetic energy of $0.3 \ mol$ of $He$ be equal to the kinetic energy of $0.4 \ mol$ of $Ar$ at $400 \ K$?

Pressure of $1 \, g$ of an ideal gas $A$ at $27^{\circ} C$ is found to be $2 \, bar$. When $2 \, g$ of another ideal gas $B$ is introduced in the same flask at the same temperature,the pressure becomes $3 \, bar$. Find a relationship between their molecular masses.

The compressibility factor of a gas is defined as $Z = PV/RT$. The compressibility factor of an ideal gas is:

$A$ car tyre is filled with nitrogen gas at $35 \ psi$ at $27^{\circ} C$. It will burst if pressure exceeds $40 \ psi$. The temperature in $^{\circ} C$ at which the car tyre will burst is ............ (Rounded-off to the nearest integer)

The volume of $2.8 \ g$ of $CO$ at $27^{\circ} C$ and $0.821 \ atm$ pressure is (Given: $R = 0.08210 \ L \ atm \ K^{-1} \ mol^{-1}$) (in $L$)