Estimate the system pressure and vapor phase composition for an equimolar binary mixture at 303.15 K if the vapor pressure of the pure components at 303.15 K are as follows, Psat (1) = 90 kPa; Psat (2) = 110 kPa. The activity coefficient for component (1) at this composition is 1.3 while the activity coefficient for component (2) at this composition is 1.1.
A. P = 100 kPa; y1 = 0.45
B. P = 119 kPa; y1 = 0.49
C. P = 119 kPa; y1 = 0.45
D. P = 114 kPa; y1 = 0.49
E. P = 90.0 kPa; y1 = 0.5
A. Incorrect. You cannot assume Raoult’s Law is valid when you are explicitly given activity coefficients whose values are not equal to 1.
B. Correct. Using modified Raoult’s Law for each component and the identity of 1 – y1 = y2, you will arrive at the correct answers.
C. Incorrect. Your pressure calculation is correct, but you made a mistake in calculating your vapor phase composition.
D. Incorrect. Your compositions are correct, but you made a mistake in calculating the total pressure.
E. Incorrect. Use modified Raoult’s Law to obtain the solution.
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