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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.

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.

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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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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