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NEET 2025
Exam
NEET
Year
2025
Subject
Chemistry
Chapter
Electrochemistry

NEET 2025 · Chemistry · Electrochemistry

If the molar conductivity ( _ m ) of a 0.050 ~mol ~L^ -1 solution...

If the molar conductivity (Λm)\left(\Lambda_{\mathrm{m}}\right) of a 0.050 mol L−10.050 \mathrm{~mol} \mathrm{~L}^{-1} solution of a monobasic weak acid is 90 S cm2 mol−190 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1}, its extent (degree) of dissociation will be [Assume Λ+∘=349.6 S cm2 mol−1\Lambda_{+}^{\circ}=349.6 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1} and Λ−∘=50.4 S cm2 mol−1.]\left.\Lambda_{-}^{\circ}=50.4 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1}.\right]

Options

  1. A0.115
  2. B0.125
  3. C0.225
  4. D0.215

Correct answer

C. 0.225

Step-by-step solution

\begin{aligned} &\text{ Degree of dissociation }(\alpha)=\frac{\wedge_m}{\wedge_m^{\circ}}\\ &\begin{aligned} \wedge_{\mathrm{m}^{\circ} & =\wedge_{+}^{\circ}+\wedge_{-}^{\circ} \\ & =349.6+50.4=400 \mathrm{Scm}^2 \mathrm{ mol}^{-1} \\ \therefore \alpha & =\frac{\Lambda_{\mathrm{m}}}{\Lambda_{\mathrm{m}^{\circ}}=\frac{90}{400}=0.225 \end{aligned} \end{aligned}$
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