*5.47. A nonideal solution contains na of substance A and nB of substance B and the mole fractions of A and B are XA and xg. The Gibbs energy of the solution is given by the equation In XB) G = nAuA + NBUB + RT(nA In xA + nB + CnAng/(nA + ng) where C is a constant and describes the pair interaction. a. Derive an equation for u, in the solution in terms of the quantities on the right-hand side. {Hint: (ð In xẠ/ôna)ng (1/nA) – [1/(na + nB)].} b. Derive a similar expression for the activity coefficient of A. Specify the conditions when the activity coefficient equals unity. %3D
*5.47. A nonideal solution contains na of substance A and nB of substance B and the mole fractions of A and B are XA and xg. The Gibbs energy of the solution is given by the equation In XB) G = nAuA + NBUB + RT(nA In xA + nB + CnAng/(nA + ng) where C is a constant and describes the pair interaction. a. Derive an equation for u, in the solution in terms of the quantities on the right-hand side. {Hint: (ð In xẠ/ôna)ng (1/nA) – [1/(na + nB)].} b. Derive a similar expression for the activity coefficient of A. Specify the conditions when the activity coefficient equals unity. %3D
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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![*5.47. A nonideal solution contains nA of substance A and
ng of substance B and the mole fractions of A and B are xA
and xB. The Gibbs energy of the solution is given by the
equation
G = nAu + nBUB + RT(nA In xA + ng In xB)
+ Cnang/(nA + nB)
where C is a constant and describes the pair interaction.
a. Derive an equation for ua in the solution in terms of the
quantities on the right-hand side. {Hint: (ð In XA/ônA)ng
(1/nA) - [1/(na + nB)].}
b. Derive a similar expression for the activity coefficient of
A. Specify the conditions when the activity coefficient
equals unity.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F97652780-eadb-4dfe-b5db-b053ec2c145a%2Ffd209236-b733-4264-8e2e-799fa2566951%2Fnkdmwl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:*5.47. A nonideal solution contains nA of substance A and
ng of substance B and the mole fractions of A and B are xA
and xB. The Gibbs energy of the solution is given by the
equation
G = nAu + nBUB + RT(nA In xA + ng In xB)
+ Cnang/(nA + nB)
where C is a constant and describes the pair interaction.
a. Derive an equation for ua in the solution in terms of the
quantities on the right-hand side. {Hint: (ð In XA/ônA)ng
(1/nA) - [1/(na + nB)].}
b. Derive a similar expression for the activity coefficient of
A. Specify the conditions when the activity coefficient
equals unity.
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