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Question 2 ( 6 0 marks ) The vapor - liquid equilibrium for a binary liquid solution containing methanol - methyl acetate at 1 0

Question 2(60 marks)
The vapor-liquid equilibrium for a binary liquid solution containing methanol- methyl acetate at
101.3kPa is reported by Shi et al.(Journal of Chemical and Engineering Data 2022, vol. 67,
pp.3650-3660). Suppose that the activity coefficients for methanol (1) and methyl acetate (2)
can be expressed by an activity coefficient model as follows:
ln1=-ln(x1+x2A12)+x2(A12x1+x2A12-A21x2+x1A21)
ln2=-ln(x2+x1A21)-x1(A12x1+x2A12-A21x2+x1A21)
where A12 and A21>0(A12 and A21 can be considered as constant)
a) By using Excel, construct T-x,y diagram at 101.3kPa based on the suggested activity
coefficient model above and compare it with the experimental data reported in the paper.
Give your recommendation if we can use the model above for methanol-methyl metacrylate
mixture.
b) Determine the fugacity of methanol and methyl metacrylate in the azeotropic solution.
State clearly the equations you use, the methods and the assumptions to solve the question.
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