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Problem 3 (40 points) Experimental data for the binary system ethanol (1) and butyl-methyl-ether (2) report that at T = 50 C and P = 53.75 kPa the system is at an equilibrium between a liquid and a vapor phase. The composition of ethanol in the liquid phase is X1 = 0.6225 and the composition of ethanol in the vapor phase is y = 0.403. The same report provides the experimental values of the two chemicals saturation pressures at 50 C as: psat (ethanol) = 29.34 kPa psat (butyl-methyl-ether) = 50.69 kPa i. (4p total) Do you think based on these data and without making any calculations if the system exhibits an azeotrope? (2p) Please explain clearly why. (2p) ii. (op total) Using the provided experimental data, calculate the activity coefficients at the experimental point (3p), assuming that the gas phase behaves ideally and fit the data to the van Laar model, calculating the respective constants A and B. (3p) CHE 3333 - Separation Processes Dr. Bui Homework #1 Due: 10 AM, Tuesday, March 19, 2022 ii. (Up total) If an azeotrope is predicted for this binary system, report the composition of the azeotrope and its pressure if T = 50C (perform calculations). (4p) iv. (5 total) Find the bubble point pressure (3p) and the composition of the first bubble (2p) of this system at 50C for an ethanol - butyl-methyl-ether mixture having total 75 mol% ethanol. V. (5p total) Find the dew point pressure (3p) and the composition of the first droplet (2p) of this system at 50C for an ethanol - butyl-methyl-ether mixture having 75 mol% ethanol. vi. (p total) Compute the vapor (2p) and liquid composition (2p) and liquid fraction LF (3p) for an overall composition of Zethanef=0.75, Zbunyl-methyl ether-0.25 at 50 C and P = 42 kPa. vii. (8p total) Compute the vapor (2p) and liquid composition (2p) and the system pressure P (3p) in kPa, for an overall composition of Zethanel = 0.75, Zoutylmethyl-the-0.25 at 50 C and a L/F ratio of 0.8. PRESENT THE EQUATIONS USED FOR EACH STEP and the Excel file where all your calculations are carried out