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Calculate the boiling point of a soluti...

Calculate the boiling point of a solution containing `0.61 g` of benzoic acid in `50 g` of carbon disulphide assuming `84%` dimerization of the acid. The boiling point and `K_(b)` of `CS_(2)` are `46.2^(@)C` and `2.3 kg mol^(-1)`.

Text Solution

Verified by Experts

The correct Answer is:
46.33
`DeltaT=(1000 xxK_b xxw)/(mxxW)`
`DeltaT_N=(1000 xx 2.3 xx 0.61)/(122xx50)`
(molecular weight of `C_6H_5COOH = 122` )
`DeltaT_N = 0.23 `
`DeltaT_(exp)=DeltaT_N(1-alpha+alpha/n)`
`=0.23 xx(1-0.84+(0.84)/2)`
`=0.23 xx(1-(0.84)/2)=0.1334`
Boiling point `= 46.2 +0.1334 = 46.3334^@C`.
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