For the Redlich–Kwong equation, develop expressions for the parameters a and b, the equation reduced form, and the value of the compressibility factor at the critical point as a function of the critical pressure and the critical pressure using an approach similar to Example 4.7.

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EXAMPLE 4.7 Alternative Determination of van der Waals Constants from Corresponding States At the critical point, the three roots in volume to a cubic equation must converge. Thus, (v - v) = 0 (E4.7A) Use Equation (E4.7A) to write the van der Waals parameters a and b in terms of the critical pressure and temperature.