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Question

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, where boiling point and Kb of CS2 being 46.2C and 2.3 K kg mol1 is :

A
46.3444C
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B
46.3434C
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C
46.3334C
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D
46.3344C
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Solution

The correct option is C 46.3334C
We have, ΔT=(1000×Kb×w)m×W
ΔTN=(1000×2.3×0.61)(122×50) [m.wt.of C6H5COOH=122]ΔTN=0.23
ΔTexp=ΔTN(1α+αn)=0.23×{10.84+(0.842)}=0.23×(10.842)=46.3334C(C)

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