Derive an expression for the law of corresponding states for a gas represented by the following expression:

\[p=\frac{\Re T}{v-b}-\frac{a}{T v^{2}}\]

\[\left[p_{\mathrm{R}}=\frac{8 T_{\mathrm{R}}}{3 v_{\mathrm{R}}-1}-\frac{3}{T_{\mathrm{R}} v_{\mathrm{R}}^{2}}\right]\]