In an ideal solution of A and B, 2.75 mol are in the liquid phase and...

In an ideal solution of A and B, 2.75 mol are in the liquid phase and 4.255 mol are in the gaseous phase. The overall composition of the system is Z_A = 0.420, and x_A = 0.310. Calculate y_A.

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Expert Solution

In an ideal solution of A and B, 2.75 mol are in the liquid phase and 4.255 mol are in the gaseous phase.

Thus total number of moles of A and B = 2.75 + 4.255 = 7.005 moles.

The overall composition of the system is ZA = 0.420. This is overall mole fraction of A. It is multiplied with total number of moles of A and B to obtain overall number of moles of A.

The overall number of moles of A moles.

xA = 0.310 This is mole fraction of A in liquid phase. It is multiplied with total number of moles in liquid phase to obtain number of moles of A in liquid phase.

The number of moles of A in liquid phase moles

From the overall number of moles of A, the number of moles of A in liquid phase is subtracted to get the number of moles of A in vapor phase.

The number of moles of A in vapor phase = 2.9421 - 0.8525 = 2.0896 moles.

yA is the mole fraction of A in vapor phase. It is the ratio of number of moles of A in vapor phase to total number of moles in vapor phase.

queen_honey_blossom answered 11 months ago

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