The Lewis-Randall "rule" for f(T, P, {y}), the fugacity of component i in a gas mixture, is an approximation given by f(T, P, ty)syf(T, P), where f(T, P) is the fugacity of pure component i at temperature T and pressure P. Show that a mixture described by the Lewis-Randall rule has the property that the enthalpy and volume of mixing are both zero.

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