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Question

Two solvents ‘A’ and ‘B’ have Kf values 1.86 and 2.79 K mol−1 kg, respectively. A given amount of a substance when dissolved in 500 g of ‘A’ completely dimerizes and when the same amount of the substance is dissolved in 500 g of ‘B’, the solute undergoes trimerization. The ratio of observed lowering of freezing point in two cases is

Options

A.2: 3
B.4: 9
C.1: 1
D.1: 2

Solution

$\frac{\Delta T_{f}(A)}{\Delta T_{f}(B)} = \frac{K_{f},A.m_{1}}{K_{f},B.m_{2}} = \frac{1.86 \times m/2}{2.79 \times m/3} = \frac{1}{1}$

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