The vapor-liquid equilibria for the system acetic acid(1) + acetone(2) needs to be characterized in order to simulate an acetic anhydride production process. Experimental data for this system at 760 mmHg have been reported by Othmer (1943)⁴ as summarized below. Use the data at the equimolar composition to determine a value for the binary interaction parameter of the Peng-Robinson equation. Based on the value you determine for the binary interaction parameter, determine the percent errors in the Peng-Robinson prediction for this system at a mole fraction of x₍₁₎ + 0.3.

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T(C) 103.8 X(1) 0.9 93.1 85.8 79.7 74.6 0.8 0.7 0.6 0.5 70.2 66.1 62.6 59.2 0.4 0.3 0.2 0.1