Differentiate between an ideal and a regular solution consisting of a mixture of A and B atoms. Which of these solutions, is likely to contain a random mixture of atoms at all temperatures? For the binary A-B ideal-solution, differentiate the equation for the configurational entropy of mixing with respect to concentration. Hence show that the slope of the free energy of mixing versus concentration curve is towards tinfinity when the mole fraction is 0 or 1. Does this make it easy or hard to purify materials? [50%] (ii) How can a phase that has a limited solubility for a particular solute be forced to accept larger concentrations which far exceed its equilibrium solubility? [20%] (iii) Atoms of A and B are arranged in a straight line at random, with the mole fraction of B equal to x. What is the probability of finding two A atoms next to each other? How would your calculation be modified if this were to be a two-dimensional array of A and B atoms? [20%] (iv) An alloy is to be made, containing Fe, Mn, Si, Ni, Mo and Cr. What are the concentrations of these elements that result in a maximum configurational entropy of mixing? [10%]
Differentiate between an ideal and a regular solution consisting of a mixture of A and B atoms. Which of these solutions, is likely to contain a random mixture of atoms at all temperatures? For the binary A-B ideal-solution, differentiate the equation for the configurational entropy of mixing with respect to concentration. Hence show that the slope of the free energy of mixing versus concentration curve is towards tinfinity when the mole fraction is 0 or 1. Does this make it easy or hard to purify materials? [50%] (ii) How can a phase that has a limited solubility for a particular solute be forced to accept larger concentrations which far exceed its equilibrium solubility? [20%] (iii) Atoms of A and B are arranged in a straight line at random, with the mole fraction of B equal to x. What is the probability of finding two A atoms next to each other? How would your calculation be modified if this were to be a two-dimensional array of A and B atoms? [20%] (iv) An alloy is to be made, containing Fe, Mn, Si, Ni, Mo and Cr. What are the concentrations of these elements that result in a maximum configurational entropy of mixing? [10%]
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
Related questions
Question
![Differentiate between an ideal and a regular solution consisting of a mixture of A and
B atoms. Which of these solutions, is likely to contain a random mixture of atoms
at all temperatures? For the binary A-B ideal-solution, differentiate the equation
for the configurational entropy of mixing with respect to concentration. Hence show
that the slope of the free energy of mixing versus concentration curve is towards
tinfinity when the mole fraction is 0 or 1. Does this make it easy or hard to purify
materials?
[50%]
(ii) How can a phase that has a limited solubility for a particular solute be forced to
accept larger concentrations which far exceed its equilibrium solubility? [20%]
(iii)
Atoms of A and B are arranged in a straight line at random, with the mole fraction
of B equal to x. What is the probability of finding two A atoms next to each other?
How would your calculation be modified if this were to be a two-dimensional array
of A and B atoms?
[20%]
(iv) An alloy is to be made, containing Fe, Mn, Si, Ni, Mo and Cr. What are the
concentrations of these elements that result in a maximum configurational entropy
of mixing?
[10%]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4b995fb6-0105-410c-a398-9564236d4729%2Fbc39b963-9f58-4cb6-ba36-b30ffb58c549%2F9tat9ak_processed.png&w=3840&q=75)
Transcribed Image Text:Differentiate between an ideal and a regular solution consisting of a mixture of A and
B atoms. Which of these solutions, is likely to contain a random mixture of atoms
at all temperatures? For the binary A-B ideal-solution, differentiate the equation
for the configurational entropy of mixing with respect to concentration. Hence show
that the slope of the free energy of mixing versus concentration curve is towards
tinfinity when the mole fraction is 0 or 1. Does this make it easy or hard to purify
materials?
[50%]
(ii) How can a phase that has a limited solubility for a particular solute be forced to
accept larger concentrations which far exceed its equilibrium solubility? [20%]
(iii)
Atoms of A and B are arranged in a straight line at random, with the mole fraction
of B equal to x. What is the probability of finding two A atoms next to each other?
How would your calculation be modified if this were to be a two-dimensional array
of A and B atoms?
[20%]
(iv) An alloy is to be made, containing Fe, Mn, Si, Ni, Mo and Cr. What are the
concentrations of these elements that result in a maximum configurational entropy
of mixing?
[10%]
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