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Consider an ideal solution of 3 components Consider an ideal solution of 3 compo

ID: 493213 • Letter: C

Question

Consider an ideal solution of 3 components

Consider an ideal solution of 3 components in the liquid and vapor phases, A, B, and C. The liquid mole fractions of A = 0.25 and B = 0.25. Suppose at 100K, the pure-component vapor pressures are 50, 100, and 150 Pa, respectively. What are the partial pressures of each component in the vapor phase in Pascals? If the vapor above this ideal solution is removed into a separate container, completely condensed, and allowed to reach a new equilibrium (at 100K, assume that the mole fraction does not change significantly during this process), what are the new partial pressures of components A, B, and C in the vapor phase in Pascals?

Explanation / Answer

Molefraction of all the components is unity.

XA + XB +XC = 1

XC = 1 - (0.25+0.25) = 0.5

Total vapor pressure = Partial pressure of A + Partial pressure of B + Partial pressure of C

Partial pressure of A = XA *50 = 0.25*50 = 12.5 Pa

Partial pressure of B = XB *100 = 0.25*100 = 25 Pa

Partial pressure of C = XC *150 = 0.5*150 = 75 Pa

Total vapor pressure = 12.5+25+75 = 112.5 Pa