Question: Liquid-vapor equilibrium data have been collected for a binary system of methanol(1)-water(2) at 40C. Mole fraction of liquid vs. total pressure are reported in the


Liquid-vapor equilibrium data have been collected for a binary system of methanol(1)-water(2) at 40C. Mole fraction of liquid vs. total pressure are reported in the table below. Develop a computational procedure to find the two-suffix Margules parameters, A and B, that best fit the data by doing the following: x1 yi P(kPa) 0.000 0.000 7.295 0.050 0.275 9.562 0.100 0.436 11.695 0.150 0.543 13.682 0.200 0.618 15.536 0.250 0.675 17.256 0.300 0.720 18.883 0.350 0.756 20.390 0.400 0.786 21.817 0.450 0.811 23.150 0.500 0.833 24.404 0.550 0.853 25.604 0.600 0.871 26.751 0.650 0.888 27.845 0.700 0.903 28.898 0.750 0.918 29.925 0.800 0.933 30.938 0.850 0.949 31.939 0.900 0.964 32.952 0.950 0.981 33.979 1.000 1.000 35.032 (a) minimizing the objective function Fp= (Perp - Peale)? (b) minimizing the objective function Fee = GET-GE (c) minimizing the objective function (12-reale i=1 Y1 Y2 (d) linearizing the three-suffix Margules equation Liquid-vapor equilibrium data have been collected for a binary system of methanol(1)-water(2) at 40C. Mole fraction of liquid vs. total pressure are reported in the table below. Develop a computational procedure to find the two-suffix Margules parameters, A and B, that best fit the data by doing the following: x1 yi P(kPa) 0.000 0.000 7.295 0.050 0.275 9.562 0.100 0.436 11.695 0.150 0.543 13.682 0.200 0.618 15.536 0.250 0.675 17.256 0.300 0.720 18.883 0.350 0.756 20.390 0.400 0.786 21.817 0.450 0.811 23.150 0.500 0.833 24.404 0.550 0.853 25.604 0.600 0.871 26.751 0.650 0.888 27.845 0.700 0.903 28.898 0.750 0.918 29.925 0.800 0.933 30.938 0.850 0.949 31.939 0.900 0.964 32.952 0.950 0.981 33.979 1.000 1.000 35.032 (a) minimizing the objective function Fp= (Perp - Peale)? (b) minimizing the objective function Fee = GET-GE (c) minimizing the objective function (12-reale i=1 Y1 Y2 (d) linearizing the three-suffix Margules equation
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