Two solutions A and B are prepared by dissolving 1g of no-volatile solutes X and Y respectively in 1 kg of water. The ratio of depression in freezing point for A and B is found to be 1 : 4. The ratio of molar masses of X and Y is

Option 1 - 1 : 4

Option 2 - 1 : 0.25

Option 3 - 1 : 0.20

Option 4 - 1 : 5

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Payal Gupta | Contributor-Level 10

8 months ago

Correct Option - 2

Detailed Solution:

$Δ T_{f} = i * k_{f} * M$

$\frac{{(Δ T_{f})}_{x}}{{(Δ T_{f})}_{y}} = \frac{i K_{f} m_{x}}{i K_{f} M_{Y}} = \frac{M_{X}}{M_{Y}}$

$\Rightarrow \frac{1}{4} = \frac{1}{M_{X}} * \frac{M_{Y}}{1} \Rightarrow \frac{M_{X}}{M_{Y}} = \frac{4}{1} = \frac{1}{0.25}$

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