The Gibbs free energy of a mixture of solid A and B (a phase) is given as AGmix = 10,000X,XB + RT(X, ln Xa+Xg lnXB) ← (a) When AH is positive, phase separation can occur. The composition range where phase separation occurs is defined by the common tangent rule. Derive an expression for the relationship between T and XB that defines the composition and temperature range where phase separation occurs. Hint: assume the AHmix versus composition curve is symmetrical in this case. (b) Plot the phase diagram T (y-axis) versus XB (x-axis) over the temperature range from 300 K< T < 1000 K. (c) Calculate the critical temperature below which a miscibility gap forms.<

The Gibbs free energy of a mixture of solid A and B (a phase) is given as AGmix = 10,000X,XB + RT(X, ln Xa+Xg lnXB) ← (a) When AH is positive, phase separation can occur. The composition range where phase separation occurs is defined by the common tangent rule. Derive an expression for the relationship between T and XB that defines the composition and temperature range where phase separation occurs. Hint: assume the AHmix versus composition curve is symmetrical in this case. (b) Plot the phase diagram T (y-axis) versus XB (x-axis) over the temperature range from 300 K< T < 1000 K. (c) Calculate the critical temperature below which a miscibility gap forms.<

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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