Derive the following approximation for the fugacity of a

Chapter 11, Problem 11.113

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Derive the following approximation for the fugacity of a liquid at temperature T and pressure p:

\(f(T, p) \approx f_{\text {sat }}^{\mathrm{L}}(T) \exp \left\{\frac{v_{f}(T)}{R T}\left[p-p_{\text {sat }}(T)\right]\right\}\)

where \(f_{\mathrm{sat}}^{\mathrm{L}}(T)\) is the fugacity of the saturated liquid at temperature T. For what range of pressures might the approximation \(f(T, p) \approx f_{\mathrm{sat}}^{\mathrm{L}}(T)\) apply?

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