An open vessel at $27\,^oC$ is heated such that $\frac{3}{5}$ of the air in it is expelled. Assuming the volume of the vessel remains constant,calculate the temperature in $K$ to which the vessel was heated.

When an ideal gas undergoes free expansion,then:

Calculate the number of total atoms and molecules in $4 \, L$ of $SO_2$ gas at $350 \, K$ temperature and $10^3 \, Pa$ pressure. $[R = 8.3144 \, J \, K^{-1} \, mol^{-1}]$.

$A$ dry gas occupied $127.4 \, mL$ at $STP$. If the same mass of the gas is collected over water at $27 \, ^\circ C$ and at a total pressure of $725 \, torr$,what volume does it occupy? The vapour pressure of water at $27 \, ^\circ C$ is $25 \, torr$. (Note: $1 \, bar = 750 \, torr$)

The deviation of a gas from ideal behavior can be expressed by which of the following?

The mass of a gas in a container at $1 \, \text{atm}$ pressure and $200 \, K$ temperature is $3.2 \, g$. What will be the mass of the same gas in the same container at $500 \, K$ temperature and $10 \, \text{atm}$ pressure?