Q2 / 90 · JEE Main 2022 (25 Jul Shift 2) · Chemistry

Two solutions $A$ and $B$ are prepared by dissolving $1 g$ of non-volatile solutes $X$ and $Y$ . respectively in $1 kg$ of water. The ratio of depression in freezing points for $A$ and $B$ is found to be $1 : 4$ . The ratio of molar masses of $X$ and $Y$ is

A
$1 : 4$
Correct answer
B
$1 : 0.25$
C
$1 : 0.20$
D
$1 : 5$

Solution

We know that for an non-electrolyte
$∆ T_{f} = K_{f} m where m = molality$
$\frac{{ΔT}_{fx}}{{ΔT}_{fy}} = \frac{k_{f} \cdot m_{x}}{k_{f} \cdot m_{y}} = \frac{\frac{1}{M_{x}}}{\frac{1}{M_{y}}}$
$\Rightarrow \frac{1}{4} = \frac{M_{y}}{M_{x}}$
$\Rightarrow M_{x} : M_{y} = 1 : 0.25$

Hence, the correct answer is option: 'B'.

Relevant Questions

Which of the following statements are not correct? A. For water, magnitude of is more than the magnitude of . B. The elevation in boiling po08 Apr, 2026 (E)Colligative Properties and Abnormal Molecular Masses
Given below are two statements : Statement I : H O molecules move from the chamber to chamber . Statement II : The osmotic pressure of a sol06 Apr, 2026 (E)Colligative Properties and Abnormal Molecular Masses
hemoglobin in a aqueous solution (A) at is separated from pure water by semi permeable membrane. At equilibrium the height of solution in a 05 Apr, 2026 (E)Colligative Properties and Abnormal Molecular Masses
At C, M, L aqueous solution and M, L aqueous solution are placed in a container separated by a semi permeable membrane AB. Assume complete d04 Apr, 2026 (E)Colligative Properties and Abnormal Molecular Masses
g of fluoro acetic acid (molar mass g mol ) is dissolved in g of water at K. The depression in the freezing point of water was C. What is of02 Apr, 2026 (M)Colligative Properties and Abnormal Molecular Masses
Solution A is prepared by dissolving g of a protein (molar mass g mol ) in L of water at K. Its osmotic pressure is bar. Solution B is made 02 Apr, 2026 (E)Colligative Properties and Abnormal Molecular Masses

Two solutions A and B are prepared by dissolving 1 g of non-volatile solutes X and Y. respectively in 1 kg of water. The ratio of depression in freezing points for A and B is found to be 1:4. The ratio of molar masses of X and Y is

Solution

Relevant Questions

Two solutions $A$ and $B$ are prepared by dissolving $1 g$ of non-volatile solutes $X$ and $Y$ . respectively in $1 kg$ of water. The ratio of depression in freezing points for $A$ and $B$ is found to be $1 : 4$ . The ratio of molar masses of $X$ and $Y$ is