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When30g of this acid C(11)H(8)O(2) is di...

When`30g` of this acid `C_(11)H_(8)O_(2)` is dissolved in `60`g benzene ,a freezing point depression of `2K` is observed`K_(f)("benzene")=1.72 "K mol"^(-1)kg]`. The van't Hoff factor

A

`1`

B

`0.4`

C

`2`

D

`3`

Text Solution

Verified by Experts

The correct Answer is:
B
`cancel(O)T_(f)=(1000K_(f)W_(1)("solute"))/(m_(1)("solute")w_(2)) (i)`
`w_(1)=30.0g`
`m_(1)=11xx12+8xx1+2xx16=172g mol^(-1)`
`w_(2)=60.0g`
`:.DeltaT_(f)=2=(1000xx1.72xx30xxi)/(172xx60)i=0.4`
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