The Gibbs energy of mixing of a regular solution of components A and B is given by Greal = nRT (x Inx +x Inx +ẞXX), where X and X are mix A B B A B the mole fractions of the two components and ẞ is a dimensionless parameter quantifying deviations from ideal behaviour in terms of the relative strength of A-B interactions compared to A-A and B-B interactions. (i) Use a spreadsheet to calculate A Greal/nRT for XA = 0.01, 0.125, mix 0.25, 0.5, 0.75, 0.875 and 0.99 for ẞ= 0, 1 and 3. Report your calculations in a table and, using a labelled plot, determine the numbers of minima in A Greal/nRT as a function of composition and ẞ. mix [3 (ii) For each value of ẞ, predict the number of liquid phases which you would expect for the mixture. Justify your answer in terms of A-B interactions. [

Chemistry
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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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The Gibbs energy of mixing of a regular solution of components A and B is
given by Greal = nRT (x Inx +x Inx +ẞXX), where X and X are
mix
A
B
B
A
B
the mole fractions of the two components and ẞ is a dimensionless
parameter quantifying deviations from ideal behaviour in terms of the
relative strength of A-B interactions compared to A-A and B-B interactions.
(i) Use a spreadsheet to calculate A Greal/nRT for XA = 0.01, 0.125,
mix
0.25, 0.5, 0.75, 0.875 and 0.99 for ẞ= 0, 1 and 3. Report your
calculations in a table and, using a labelled plot, determine the
numbers of minima in A Greal/nRT as a function of composition
and ẞ.
mix
[3
(ii)
For each value of ẞ, predict the number of liquid phases which you
would expect for the mixture. Justify your answer in terms of A-B
interactions.
[
Transcribed Image Text:The Gibbs energy of mixing of a regular solution of components A and B is given by Greal = nRT (x Inx +x Inx +ẞXX), where X and X are mix A B B A B the mole fractions of the two components and ẞ is a dimensionless parameter quantifying deviations from ideal behaviour in terms of the relative strength of A-B interactions compared to A-A and B-B interactions. (i) Use a spreadsheet to calculate A Greal/nRT for XA = 0.01, 0.125, mix 0.25, 0.5, 0.75, 0.875 and 0.99 for ẞ= 0, 1 and 3. Report your calculations in a table and, using a labelled plot, determine the numbers of minima in A Greal/nRT as a function of composition and ẞ. mix [3 (ii) For each value of ẞ, predict the number of liquid phases which you would expect for the mixture. Justify your answer in terms of A-B interactions. [
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