1 . 22   g of an organic acid is separately dissolved in 100   g of benzene K b = 2 . 6   K…

1.22 g of an organic acid is separately dissolved in 100 g of benzene Kb=2.6 K kg mol-1 and 100 g of acetone Kb=1.7 K kg mol-1. The acid is known to dimerize in benzene but remain as a monomer in acetone. The boiling point of the solution in acetone increases by 0.17°C. The increase in boiling point of solution in benzene inC is x×10-2. The value of x is (Nearest integer)
[Atomic mass : C=12.0, H=1.0, O=16.0]

Solution

ΔTb=i×kb×molality ; m=w1GMM1×1000w2
For Acetone solution
0.17=1×1.7×1.22GMM×1000100
GMM of substance =122 gm/mol
For Benzene solution
ΔTb=i×kb×m=12×2.6×1.22122×1000100=0.13=13×10-2
=13

Asked in: JEE Main 2021 (31 Aug Shift 2)

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