Q.
A mixture contains 1 mol of volatile liquid A (p∘A= 100 mmHg) and 3 moles of volatile liquid B (p∘b = 80 mmHg). If solution is ideally behaved, total vapour pressure of distillate is (approx)
pA=pA∘xA=100×41 = 25 mm Hg pB=pB∘xB=80×43 = 60 mmHg
Mole fraction of A in vapour xA′=pA+pBpA=8525
Mole fraction of B in vapour xB′=1−8525=8560
V.P. of distillate
= xA′pA∘+xB′pB∘
= 8525×100+8560×80
= 851(2500+4800)
= 857300 = 85.88 ≈ 86 mm Hg.