Exactly one mole of a real gas at is compressed in a cylinder. The gas exhibits a measured compressi — States of Matter and Gaseous State Chemistry Question

Question

Exactly one mole of a real gas at $300\text{ K}$ is compressed in a cylinder. The gas exhibits a measured compressibility factor $Z = 0.65$ under these conditions and occupies a volume of $0.4\text{ L}$. Calculate the pressure exerted by the gas in $\text{atm}$. (Use $R = 0.0821\text{ L atm K}^{-1}\text{ mol}^{-1}$ and round off to the nearest integer).