Derive the values of , , and Zc given in Table 3.1 for: (a) The Redlich/Kwong equation

Derive the values of Ω, Ψ, and Zc given in Table 3.1 for:
(a) The Redlich/Kwong equation of state.
(b) The Soave/Redlich/Kwong equation of state.
(c) The Peng/Robinson equation of state.

Table 3.1

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Table 3.1: Parameter Assignments for Equations of State Eqn. of State a(T,) Ω Ze vdW (1873) RK (1949) SRK (1972) 1 1/8 27/64 3/8 T,-1/2 ASRK(T; w)† 1 0.08664 0.42748 1/3 1 0.08664 0.42748 1/3 PR (1976) apR(T;; a) 1+ v2 1- V2 0.07780 0.45724 0.30740 tasRK(T,; w) = [1+ (0.480 + 1.574 w – 0.176 w?)(1 – T, 1/2)] 2 *apR(T;; @) = [1+ (0.37464 + 1.54226 @ – 0.26992 @²)(1 – T,V2)]²