Vessel-1 contains w 2 g of a non-volatile solute X dissolved in w 1 g of water. Vessel-2 contains w 2 g of another non-volatile solute Y dissolved in w 1 g of water. Both the vessels are at the same temperature and pressure. The molar mass of X is 80 \% of that of Y . The van't Hoff factor for X is 1.2 times of that of Y for their respective concentrations. The elevation of boiling point for solution in Vessel-1 is \ \ \ \ \ \% of the solution in Vessel-2.

Chemistry · Solutions and Colligative Properties

JEE Advanced 2024 — Paper 2 — Question 31

Vessel-1 contains $\mathbf{w}_{\mathbf{2}} \mathrm{g}$ of a non-volatile solute $\mathbf{X}$ dissolved in $\mathbf{w}_{\mathbf{1}} \mathrm{g}$ of water. Vessel-2 contains $\mathbf{w}_{\mathbf{2}}$ $g$ of another non-volatile solute $\mathbf{Y}$ dissolved in $\mathbf{w}_{1} \mathrm{~g}$ of water. Both the vessels are at the same temperature and pressure. The molar mass of $\mathbf{X}$ is $80 \%$ of that of $\mathbf{Y}$ . The van't Hoff factor for $\mathbf{X}$ is 1.2 times of that of $\mathbf{Y}$ for their respective concentrations.

The elevation of boiling point for solution in Vessel-1 is $\_\_\_\_\_$ % of the solution in Vessel-2.

Answer: 150

Numerical answer — enter this value.

Step-by-step solution

$\left(\Delta T_{b}\right)_{1}=i_{1} k_{\mathrm{f}} \times \frac{W_{2}}{M_{x}}$

\overline{\left(\frac{W_{1}}{1000}\right)}

$\left(\Delta T_{b}\right)_{2}=i_{2} \mathrm{k}_{\mathrm{f}} \times \frac{\mathrm{W}_{2}}{\frac{\mathrm{M}_{\mathrm{y}}}{\left(W_{1}\right)}}$

\overline{\left(\frac{W_{1}}{1000}\right)}

$\frac{\left(\Delta T_{b}\right)_{1}}{\left(\Delta T_{b}\right)_{2}}=\frac{i_{1}}{i_{2}} \times \frac{M_{y}}{M_{x}}=1.2 \times \frac{1}{0.8}=1.5$ $\left(\Delta \mathrm{T}_{\mathrm{b}}\right)_{1}=1.5\left(\Delta \mathrm{~T}_{\mathrm{b}}\right)_{2}$

Answer key and solution verified before publishing.

Practise Solutions and Colligative Properties

Start with this question, then two more from the same chapter — with a tutor that explains every step. Free.

Solve a similar one free

Exam: JEE Advanced 2024
Paper: Paper 2
Subject: Chemistry
Chapter: Solutions and Colligative Properties
Topic: Solid in Liquid Solutions (Colligative Properties)