The composition of a Vapour over a binary ideal solution is determined by the compostion of the liquid . If X_(A) and Y_(A) are the mole fractions of A in the liquid and Vapourrespectively, findthe value of X_(A) for which Y_(A)-X_(A) has maximum . What is the value of the pressure at this composition in terms of P_(A)^(0) and P_(B)^(0)

The composition of a Vapour over a binary ideal solution is determined

1.	The composition of a Vapour over a binary ideal solution is determined by the compostion of the liquid . If X_(A) and Y_(A) are the mole fractions of A in the liquid and Vapourrespectively, findthe value of X_(A) for which Y_(A)-X_(A) has maximum . What is the value of the pressure at this composition in terms of P_(A)^(0) and P_(B)^(0)
Answer» `X_(A)=(P-P_(B)^(0))/(P_(A)^(0)-P_(B)^(0)),P=SQRT(P_(A)^(0)-P_(B)^(0))` `(sqrt(P_(A)^(0)P_(B)^(0)-P_(B)^(0)))/(P_(A)^(0)-P_(B)^(0)),P=sqrt(P_(A)^(0).P_(B)^(0))` `X_(A)=(1)/((P_(A)^(0)-P_(B)^(0)))-(1)/([(P_(A)^(0))/(P_(B)^(0))-])'P=sqrt(P_(A)^(0).P_(B)^(0))` `X_(A)=(P_(a)^(0))/(P_(A)^(0)+P_(B)^(0)),P=P_(A)^(0)X_(A)+P_(B)^(0)X_(B)` ANSWER :A