The volume of a gas is $4 \ dm^3$ at $0^{\circ} C$. Calculate the new volume at constant pressure when the temperature is increased by $10^{\circ} C$. (in $dm^3$)

At a temperature of $27\,^oC$,a $2.461 \, L$ vessel contains $0.3 \, mol$ of $N_2$,$0.5 \, mol$ of $He$,and $6.2 \, mol$ of $O_2$ gases. What is the partial pressure of $N_2$ in $atm$?

For an ideal gas,the compressibility factor $(Z)$ is

$A$ gas at a pressure of $2 \ atm$ is heated from $25^{\circ} C$ to $323^{\circ} C$ and simultaneously compressed to $\frac{2}{3}$ of its original volume. What is the final pressure (in $atm$)?

Which of the following statements is incorrect?

Hydrogen gas is present in compartment $A$ and compartment $B$ as shown in the following figure. If the valve is opened,then the final pressure in the compartments is ............. $atm$. [Assume the temperature of each vessel remains constant at its initial value]