Predict the Txy behavior for a mixture of acetone (1) + 1-hexene (2) at 101.33 kPa using the Peng-Robinson equation of state. Compare the predictions to the experimental data given in Table P12-22. Determine an optimal binary interaction value by defining an objective function in terms of the temperature (it can be called OBJ_T).

Is the Peng-Robinson equation of state a reasonable model for this system at this state? Please explain. 

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H3C T[K] 336.75 331.05 327.85 326.35 324.65 CH3 323.85 323.35 323.25 323.25 323.45 324.15 325.95 329.55 Acetone TABLE P12-22 Vapor-liquid equilib- rium of acetone(1) + 1-hexene (2) at 101.33 kPa. X₁ 0 0.060 0.116 0.184 0.287 Η Η Η Η Η C-C- C- 0.387 0.497 0.593 0.605 0.698 0.805 0.908 1 |||| Η Η Η Η 1-hexene Y₁ 0 0.184 0.299 0.365 0.441 0.500 0.555 0.605 0.605 0.658 0.730 0.838 1 Based on data from S. K. Ogorodinkov, V. B. Kogan and M. S. Nemtsov, J. Appl. Chem. USSR 34, 313(1961), H