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The vapour pressure of benzene at 30^(@)...

The vapour pressure of benzene at `30^(@)C` is `164.33 mm ` of `Hg`. In `3 mol` of benzene, when `6 g` of acetic acid was dissolved, the vapour pressure of the solution became `162.04 mm` of `Hg`. Calculate
a. Van't Hoff factor
b.The degree fo association of acetic acid in bezene at `30^(@)C`.

Text Solution

Verified by Experts

Using the relation for lowering in vapour pressure and considering the Van's Hoff factor (i),we have
`DeltaP/P_(A)^(@)=ichi_(B)`
`rArr (164.88-162.04)/(164.88)=(i)(0.1/(0.1+3))`
`rArr I =0.533 (i.e.,ilt1)`
Hence, acetic acid associates in benzene

`rArr i =1-alpha//2`
`rArr alpha=2(1-0.533)=0.932`
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