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An aqueous solution of urea has freezing...

An aqueous solution of urea has freezing point of `-0.52^(@)C`. If molarity and molality are same and `K'_(f)` for `H_(2)O = 1.86 K "molality"^(-1)` the osmotic pressure of solution would be:

A

(a) `6.886 atm`

B

(b) `68.86 atm`

C

( c) `688.6 atm`

D

(d) `0.686 atm`

Text Solution

Verified by Experts

The correct Answer is:
A
`:. Delta T = (1000 xx K_(f) xx w)/(m xx W) = K_(f) xx "molality"`
`:. 0.52 = 1.86 xx "molality"`
`:. "Molality" = (0.52)/(1.86) = molarity ((n)/(V))` (given)
Now, `piV = nST`
`:. pi = (n)/(V).ST = (0.52)/(1.86) xx 0.0821 xx 300`
`= 6.886 atm`
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