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x g of urea was dissolved in 500 g of wa...

`x g` of urea was dissolved in `500 g` of water and cooled upto `-0.5^(@)C` whereby `128 g` of ice separates out from the solution. If cryoscopic constant for water be `1.86^(@)C//m`. Calculate the value of `x`.

Text Solution

Verified by Experts

The correct Answer is:
6

Given, `Delta T_(f) = 0.5, K'_(f) = 1.86, m_(urea) = 60`
Depression will be caused by water which exist as liquid at `-0.5^(@)C`
`:. W = 500-128 = 372g`
Now, `Delta T_(f) = K'_(f) xx "molality" = (1000 xx K'_(f) xx w)/(mW)`
`:. 0.5 = (1000 xx 1.86 xx w)/(372 xx 60) rArr w = 6 g`
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