The composition of vapour over a binary ideal solution is determined by the composition of the liquid. If x A and y A are the mole fraction of A in liquid and vapour phase. Determine the total vapour pressure over the solution when (y A – x A ) reaches to maxima in torr in nearest possible integer. Given : pº A = 100 torr & pº B = 225 torr
Text Solution
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150
Sol. y A = 
∴ y A – x A
– x A
∴ 
=
– 
When (y A – x A ) reaches to the maxima,
= 0
∴
– 
= 0
By solving, x A = 
Total vapour pressure over the solution
= x A pº A + x B pº B = pº B + (pº A – pº B ) x A
= pº B + (pº A – pº B ) 
= 
=
= 10 × 15 = 150 torr
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