Consider the equation of state where P = b/V. The first term on the right-hand side

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Consider the equation of stateZ = 2 3 - 1- +  -  (1 - )3   bRT

where ηP = b/V. The first term on the right-hand side is known as the Carnahan-Starling equation for the hard-sphere compressibility factor.

(a) Determine the relationships between a, b, c and Tc , Pc, Zc.

(b) What practical restrictions are there on the values of Zc that can be modeled with this equation?

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