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If sodium sulphate is considered to be c...

If sodium sulphate is considered to be completely dissociated into cations and anions in aqueous solution, the change in freezing point of water `(Delta T_(f))`, when 0.01 mol of sodium sulphate is dissolved in 1 kg of water, is ( `K_(f)=1.86 "K kg mol"^(-1)` ) :

A

0.0744 K

B

0.0186 K

C

0.0372 K

D

0.0558 K

Text Solution

Verified by Experts

The correct Answer is:
D
For complete dissociation of `Na_(2)SO_(4)`
`Na_(2)SO_(4) rarr 2Na^(+)+SO_(4)^(2-)`
`i=3`
`m=(0.01)/(1)xx1=0.01`
`DeltaT_(f)=iK_(f)m=3xx1.86xx0.01`
`DeltaT_(f)=0.0558`.
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