A solution x contains 30 mole percent of A and is equilibrium with its vapour that contains 40 mole percent of B. the ratio of vapour pressure of A and B will be
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PA = yA x Ptotal
PB = yB x Ptotal ; yB is mole fraction B in VAPOR phase
Subbing values we get,
yA x Pt = (P*A) x (χA)
yB x Pt = (P*B) x (χB)
Dividing these equations we get
(yA / yB) x (Pt / Pt) = (P*A / P*B) x (χA / χB)
simplifying and rearranging
(P*A / P*B) = (yA / yB) x (χB / χA)
(P*A / P*B) = (60 / 40) x (70 / 30) = 3.5
Ratio of pure a and b = 3.5
PB = yB x Ptotal ; yB is mole fraction B in VAPOR phase
Subbing values we get,
yA x Pt = (P*A) x (χA)
yB x Pt = (P*B) x (χB)
Dividing these equations we get
(yA / yB) x (Pt / Pt) = (P*A / P*B) x (χA / χB)
simplifying and rearranging
(P*A / P*B) = (yA / yB) x (χB / χA)
(P*A / P*B) = (60 / 40) x (70 / 30) = 3.5
Ratio of pure a and b = 3.5
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