Problem 3. Consider a binary alloy of A atoms and B atoms. The Gibbs free energy of pure A atoms is 50,000 J/mole; for pure B atoms, the Gibbs free energy is 70,000 J/mole. Consider an alloy with composition XA = 0.3. The value for R is 8.314 J/(mole-K) Assume the solution is regular. The activity versus composition plots are given below for the cases A) AHmix is positive; B) AHmix is negative. 2) Determine the Gibbs free energy of one mole of the alloy when AHmix is positive. 3) Determine the Gibbs free energy of one mole of the alloy when AHmix is negative.

Introduction to Chemical Engineering Thermodynamics
8th Edition
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Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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Problem 3. Consider a binary alloy of A atoms and B atoms. The Gibbs free energy of pure A
atoms is 50,000 J/mole; for pure B atoms, the Gibbs free energy is 70,000 J/mole. Consider an
alloy with composition XA = 0.3. The value for R is 8.314 J/(mole.K)
Assume the solution is regular. The activity versus composition plots are given below for the
cases A) AHmix is positive; B) AHmix is negative.
2) Determine the Gibbs free energy of one mole of the alloy when AHmix is positive.
3) Determine the Gibbs free energy of one mole of the alloy when AHmix is negative.
1.0
1.0
1.0
1.0
Na
NA
0.80
0,70-
0.70-
0.50
0.30
a or Na
Pure 8
X
Composition
(A)
:
dg
A or NA
da or Na
Pure A
0.30
0.10
Pure B
1 09
8
0.68
Composition
(B)
A or NA
Pure A
Transcribed Image Text:Problem 3. Consider a binary alloy of A atoms and B atoms. The Gibbs free energy of pure A atoms is 50,000 J/mole; for pure B atoms, the Gibbs free energy is 70,000 J/mole. Consider an alloy with composition XA = 0.3. The value for R is 8.314 J/(mole.K) Assume the solution is regular. The activity versus composition plots are given below for the cases A) AHmix is positive; B) AHmix is negative. 2) Determine the Gibbs free energy of one mole of the alloy when AHmix is positive. 3) Determine the Gibbs free energy of one mole of the alloy when AHmix is negative. 1.0 1.0 1.0 1.0 Na NA 0.80 0,70- 0.70- 0.50 0.30 a or Na Pure 8 X Composition (A) : dg A or NA da or Na Pure A 0.30 0.10 Pure B 1 09 8 0.68 Composition (B) A or NA Pure A
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