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The depression in freezing point of 0.01...

The depression in freezing point of `0.01 m` aqueous `CH_(3)CooH` solution is `0.02046^(@)`, `1 m` urea solution freezes at `-1.86^(@)C`. Assuming molality equal to molarity, `pH` of `CH_(3)COOH` solution is

A

2

B

3

C

3.2

D

4.2

Text Solution

Verified by Experts

The correct Answer is:
B
`K_(f) = 1.86 Km^(-1)`
`DeltaT_(f) = iK_(f)m`
`0.02046 = ixx 1.86 xx 0.01`
`i=(2.046)/(1.86) = 1.1`
`{:(CH_(3)COOHoverset(H_(2)O)rarr,CH_(3)COO^(-)+,H^(+)),(1,-,-),(1-alpha,alpha,alpha):}`
`i=1+alpha, 1+alpha = 1.1` or `alpha =10^(-1)`
`:. [H^(+)] = C alpha = 10^(-1) xx 10^(-1) = 10^(-3)`
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