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To 500cm^(3) of water, 3.0 xx 10^(-3) kg...

To `500cm^(3)` of water, `3.0 xx 10^(-3) kg` acetic acid is added. If `23%` of acetic acid is dissociated, what will be the depression in freezing point? `K_(f)` and density of water are `1.86 K kg mol^(-1)` and `0.997 g cm^(-3)` respectively.

A

`0.186 K`

B

`0.228 K`

C

`0.372 K`

D

`0.556 K`

Text Solution

Verified by Experts

The correct Answer is:
b
`CH_(3)COOH` dissociates in water as :
`CH_(3)COOHhArrCH_(3)COO^(-)+H^(+)`
`alpha=(i-1)/(n-1)or 0.23=(i-1)/(2-1)`
`i=1+0.23=1.23`
`"Molality (m)"=W_(B)/M_(B)xx(1000)/W_(A)`
`=((3g))/((60g))xx1000/((500xx0.997))`
`=((3g)xx1000)/((60g)xx(498.5g))=0.1`
`DeltaT_(f)=ixxK_(f)xxm`
`=1.23xx1.86xx0.1=0.228 K`.
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