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Which of the following is/are true for a...

Which of the following is/are true for a solution containing 30g urea
in 100 g water?
`(K_(f)` for water `=1.9.^(@)C.kg//mol` and `K_(b)` for water `=0.5.^(@)Ckg//mol`

A

its relative lowering of vapour pressure is `(1//11)`

B

its freezing point is `-9.5.^(@)C`

C

its boiling point is `2.5.^(@)C`

D

van't hoff factor for urea in aqueous solution is 1

Text Solution

Verified by Experts

The correct Answer is:
B, D
Urea is non-electrolyte thus its `i=1`
moles of urea `=n_(u)=0.5`
Moles of water `n_(v)=100//18=5.5`
`RLVP=n_(u)//(n_(u)+n_(v))=0.5//6.0=1//12`
Molality of solution `=0.5mol//0.1kg=5mol//kg`
Depression in freezing point `K=_(f).m=9.5.^(@)C`
elevation in BP`=K_(b).m=2.5.^(@)C`
`BP=100+2.5.^(@)C`
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