$A$ 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 $atm$)?

$A$ glass vessel weighs $50.0 \, g$ when empty. When filled with a liquid of density $0.98 \, g \cdot mL^{-1}$,it weighs $148.0 \, g$. When filled with an ideal gas at $760 \, mm$ of $Hg$ pressure and $300 \, K$ temperature,it weighs $50.5 \, g$. Calculate the molar mass of the gas in $u$.

What is the volume in $litre$ occupied by $7 \, g$ of $N_2$ gas at $27 \, ^oC$ temperature and $750 \, mm \, Hg$ pressure?

Which of the following equations is true for $8.8 \times 10^{-2} \ kg$ of carbon dioxide gas?

If $R = 0.082$,write it with its units and state the value with full precision.

Find the pressure of neon gas having density $0.9 \ g \ L^{-1}$ at $350 \ K$ temperature. $(R = 8.34 \times 10^{-2} \ bar \ L \ K^{-1} \ mol^{-1})$ (in $bar$)