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Question

The freezing point of water is depressed by 0.37C in a 0.01 molal NaCl solution. The freezing point of 0.02 molal solution of the urea is depressed by:

A
0.37C
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B
0.74C
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C
0.185C
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D
0C
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Solution

The correct option is A 0.37C
As we know that,

Δtf=ikfm

where, Δtf = depression in freezing point
i=van't - Hoff factor
m=molarity
and kf=freezing point depression constant.

For 0.01 molal NaCl solution

0.37=2×kf×0.01

kf=0.372×0.01....(i)

For 0.02 molal urea solution

Δtf=1×kf×0.02

kf=Δtf0.02...(ii)

From Eqs (i) and (ii)

0.372×0.01=Δtf0.02

Δtf=0.37×0.022×0.01

tf=0.37C

Hence, the correct option is A

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