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JEE Main 202524 JanuaryEvening Shift
Exam
JEE Main
Year
2025
Date
24 January
Shift
Evening Shift
Subject
Chemistry
Chapter
Solutions

JEE Main 2025 · 24 January · Evening Shift · Chemistry · Solutions

The observed and normal molar masses of compound MX_2 are 65.6 and...

The observed and normal molar masses of compound MX2\mathrm{MX}_2 are 65.6 and 164 respectively. The percent degree of ionisation of MX2\mathrm{MX}_2 is ……\ldots\ldots %. (Nearest integer)

Correct answer

0

Step-by-step solution

Normal molar mass of MX2=164.0 g mol−1\mathrm{MX}_2=164.0 \mathrm{~g} \mathrm{~mol}^{-1} Observed molar mass of MX2=65.6 g mol−1\mathrm{MX}_2=65.6 \mathrm{~g} \mathrm{~mol}^{-1} Van’t Hoff factor (i)= Normal molar mass  Observed molar mass =16465.6=2.5\begin{aligned} & \text{ Van't Hoff factor }(\mathrm{i})=\frac{\text{ Normal molar mass }}{\text{ Observed molar mass }} \\ & =\frac{164}{65.6}=2.5 \end{aligned}If $\alpha$ is the degree of ionisation, then\begin{aligned} & \underset{1-\alpha}{\mathrm{MX}_2} \rightleftharpoons \mathrm{M}_\alpha^{2+}+\underset{2 \alpha}{2 \mathrm{X}^{-}} \\ & \mathrm{i}=1-\alpha+\alpha+2 \alpha=1+2 \alpha \\ & 1+2 \alpha=2.5 \\ & \alpha=0.75 \end{aligned}$∴\therefore Percent degree of ionisation =75%=75 \%
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