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The freezing point depression constant f...

The freezing point depression constant for water is `-1.86^(@)Cm^(-1).`if `5.00g Na_(2)SO_(4)`is dissolved in `45.0gH_(2)O`,the freezing point is changed by `-3.82^(@)C`,Calculate the van't Hoff factor for `Na_(2)SO_(4)`

A

`0.381`

B

`2.05`

C

`2.63`

D

`3.11`

Text Solution

Verified by Experts

The correct Answer is:
C
Using, `Delta T_(f)=ixxK_(f)xx m`
`i=(Delta T_(f)xx W_(A))/(K_(f)xx n_(B)xx 1000)=(3.82xx45)/(1.86xx((5)/(142))xx1000)=2.63`.
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The freezing point depression constant for water is 1.86^(@)C m^(-1) . If 5.00g Na_(2)SO_(4) is dissolved in 45.0 H_(2)O , the freezing point is charged by -3.82^(@)C . Calculate the van't Hoff factor for Na_(2)SO_(4) .

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