?Any equation of state valid for gases in the zero-pressure limit implies a full set of

Chapter 3, Problem 3.43

(choose chapter or problem)

Any equation of state valid for gases in the zero-pressure limit implies a full set of virial coefficients. Show that the second and third virial coefficients implied by the generic cubic equation of state, Eq. (3.41), are:

\(B = b − \frac {a(T)}{RT}\)   \(C =  b^{2}  + \frac {(ε + σ) ba (T)}{RT}\)

Specialize the result for B to the Redlich/Kwong equation of state, express it in reduced form, and compare it numerically with the generalized correlation for B for simple fluids, Eq. (3.61). Discuss what you find.

Text Transcription:

B = b - a (T) / RT

C = b^2 +  (ε + σ) ba (T) / RT

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