Chapter 5 - The Gaseous State - Questions and Problems - Page 222: 5.104

Please see the work below.

We know that $V=\frac{RT}{P}$ $V=\frac{0.08206\times 273}{1.00}=22.40L$ Now $\frac{a}{V^2}=\frac{1.38}{22.4}=2.754\times 10^{-3}$ Now according to Vander Waals equation $V=\frac{RT}{P+\frac{a}{V^2}}+b$ We plug in the known values to obtain: $V=\frac{0.08206\times 273}{1.00+2.754\times 10^{-3}}+0.03186=22.4L$