$A$ gas occupies $0.418 \, L$ at $27 \, ^oC$ and $740 \, mm \, Hg$ pressure. If the mass of the gas is $3.0 \, g$,what is its molar mass?

At $27\,^{\circ}C$ temperature and $4\, bar$ pressure,$CO_2$ is filled in a $2\, L$ vessel. Find the pressure if it is filled in a $4\, L$ vessel at $77\,^{\circ}C$ temperature. (in $, bar$)

$A$ truck carrying an oxygen cylinder is coming from $Place \, A$. At $Place \, A$,the gas in the cylinder is at a temperature of $-23 \, ^oC$ and a pressure of $3 \, atm$. When the truck passes through $Place \, B$,the temperature is $30 \, ^oC$. What will be the pressure of the oxygen gas in $atm$?

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

What is the density of $SO_2$ gas at $27\,^oC$ temperature and $2\, atm$ pressure in $g/L$? (Atomic weights: $S = 32, O = 16, R = 0.082\, L\, atm\, K^{-1}\, mol^{-1}$)

The isotherms of an ideal gas at $T_1, T_2, T_3$ along with their slopes $(m)$ are shown in the graph. If $T_1 > T_2 > T_3$,then the correct order of slopes of these isotherms is: