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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`(DeltaT_(f))`,when `0.01`mole of sodium sulphate is dissoved in `1` kg of water,is `(K_(f)=1.86Kkg mol^(-1))`

A

0.0186 K

B

0.0372 K

C

0.0558 K

D

0.0744 K

Text Solution

Verified by Experts

The correct Answer is:
C
Given
`Na_2SO_4(alpha=100%)`
`Na_2SO_4hArr2Na^(+)+SO_4^(2-)`
`i=3`
`k_f =1.86`
w/m = 1.86
w/m = 0.01
W = 1kg = 1000 g
`DeltaT_f=(1000xxk_fxxixxw)/(mxxW)`
`DeltaT_f=(1000xx1.86 xx3xx0.01)/1000`
`DeltaT_f = 5.58 xx0.01 = 0.0558K `
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