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Equal amounts of a solute are dissolved ...

Equal amounts of a solute are dissolved in equal amounts of two solvents `A` and `B`. The lowering of vapour pressure of solution `A` has twice the lowering of vapour pressure for solution `B`. If `Mw_(A)` and `Mw_(B)` are the molecular weights of solvents `A` and `B`, respectively , then
a.`Mw_(A) = Mw_(B)` , b. `Mw_(A) = Mw_(B)//2`,
c.`Mw_(A) = 4Mw_(B)`, d. `Mw_(A) = 2Mw_(B)`

Text Solution

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d. Let solute `(i)` is added to solvents `A` and `B`.
For `A`
`(P_(i)^(@) - P_(S)) / (P_(i)^(@)) = chi_(i) ~~ (Mw_(A)) / (Mw_(i))`
For `B`
`(P_(i)^(@) - P_(S)) / (P_(i)^(@)) = chi_(i) ~~ (Mw_(B))/(Mw_(i))`
Given that lowering for solution `A` is twice to `B`.
`:. (Mw_(A)) / (Mw_(i)) = 2((Mw_(B)) / (Mw_(i))) rArr Mw_(A) = 2Mw_(B)`
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