Show that the Dieterici equation of state, p(V-b)=R T mathrme⁻ᵃ / R T V, can be written in reduced units as tildeP(2 tildeV-1)= tildeT exp left[2 left(1- frac1 tildeT tildeV right) right], where tildeP=P / P_c, tildeT=T / T_ mathrmc tildeV=V / V_ mathrmc, and left(P_ mathrmc, T_ mathrmc, V_ mathrmc right) is the critical point.
