Fit the specified model to the methanol(1) + benzene(2) system P-x-y data at 90C by minimizing the

Question:

Fit the specified model to the methanol(1) + benzene(2) system P-x-y data at 90°C by minimizing the sum of squares of the pressure residual. Plot the resultant fit together with the original data for both phases (data are in problem 11.10), using

(a) One-parameter Margules equation

(b) Two-parameter Margules equationX1 0.117 0.257 0.376 0.549 0.707 0.856 V1 0.502 0.594 0.618 0.65 0.689 0.765 P (mmHg) 1865 2113 2218 2273


Data are in problem 11.10

(a) Fit the Margules two-parameter equation to the methanol(1) + benzene(2) system P-x-y data below at 90C (Jost, W., Roek, H, Schroeder, W., Sieg, L., Wagner, H.G. 1957. Z. Phys. Chem. 10:133) by fitting to x1=0.549. Plot the resultant fit together with the original data for both phases.

(b) Compare the data with the predictions of the MAB model.X1 0.117 0.257 0.376 0.549 0.707 0.856 J1 0.502 0.594 0.618 0.65 0.689 0.765 P (mmHg) 1865 2113 2218 2273

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