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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.

Text Solution

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`DeltaT_(f)xx"molality" xx(ii)`
`CH_(3)COOH hArr CH_(3)COO^(-)+H^(+)`
`{:("Intial",1,0,o),("At eqm".,(1-alpha),alpha,alpha):}`
`:.i=1-alpha+alpha+alpha=(1+alpha)`
`alpha=-0.23`
`:.DeltaT_(t)=K_(t)=mxx(1+alpha)`
`"Molalitym" (m) (3xx10^(-3)xx10^(3))/(60xx(500xx0.997)/(10^(3)))=0.70`
`:.DeltaT_(t)=1.8xx0.1xx(1.023)`
`=0.229`
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