An open vessel at $300 \ K$ is heated until $2/5$ of the air in it is expelled. Assuming that the volume of the vessel remains constant,the temperature to which the vessel is heated is $..... \ K$.

Find the pressure of a $CO_2$ gas when $6.022 \times 10^{22}$ molecules are placed in a $2 \ L$ vessel at $27 \ ^oC$ temperature. (in $bar$)

$A$ sealed flask with a capacity of $2 \, dm^{3}$ contains $11 \, g$ of propane gas. The flask is so weak that it will burst if the pressure becomes $2 \, MPa$. The minimum temperature at which the flask will burst is $....... \, ^{\circ}C$. [Nearest integer] (Given: $R = 8.3 \, J \, K^{-1} \, mol^{-1}$. Atomic masses of $C$ and $H$ are $12 \, u$ and $1 \, u$ respectively.) (Assume that propane behaves as an ideal gas.)

$A$ vessel of volume $24.6 \ L$ contains $1.5 \ moles$ of $H_2$ and $2.5 \ moles$ of $N_2$ at $300 \ K$. Calculate the partial pressure of $N_2$ in the vessel. (in $atm$)

During a reversible adiabatic process,the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio $\frac{C_p}{C_V}$ for the gas is:

$25 \ g$ of each of the following gases are taken at $27^{\circ}C$ and $600 \ mm$ pressure. Which of these will have the least volume?