If the chemical potential of the j-th component at a temperature of T1, H;(T1), is known and the partial molar enthalpy, H¡, is assumed to be independent of temperature, show that its chemical potential at a different temperature of T2, µ¡(T2), is given by T2 T2 Hj(T2) = ; T, Hj (T;) + H; (1 T1 -- Hint: use Gibbs-Helmholtz equation.

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Chapter1: Chemical Foundations
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If the chemical potential of the j-th component at a temperature of T1, µ¡(T1), is known
and the partial molar enthalpy, Hj, is assumed to be independent of temperature, show that
its chemical potential at a different temperature of T2, µ¡(T2), is given by
T2
T2
H; (T;) :
H;(T1) + H; (1
T1
T
Hint: use Gibbs-Helmholtz equation.
Transcribed Image Text:If the chemical potential of the j-th component at a temperature of T1, µ¡(T1), is known and the partial molar enthalpy, Hj, is assumed to be independent of temperature, show that its chemical potential at a different temperature of T2, µ¡(T2), is given by T2 T2 H; (T;) : H;(T1) + H; (1 T1 T Hint: use Gibbs-Helmholtz equation.
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