For a specific hypothetical gas, the critical temperature () is and the critical pressure () is . As — States of Matter and Gaseous State Chemistry Question

Question

For a specific hypothetical gas, the critical temperature ($T_c$) is $47^\circ\text{C}$ and the critical pressure ($P_c$) is $2.0\text{ atm}$. Assuming it perfectly follows the van der Waals equation where the critical compressibility factor $Z_c = 0.375$, what is its critical volume ($V_c$) in $\text{L mol}^{-1}$? (Use $R = 0.0821\text{ L atm K}^{-1}\text{ mol}^{-1}$ and round to the nearest integer).