CBSE 2025 · Region 2 · Set 2 · Q23 · 3 marks
Calculate $\displaystyle \mathbf{\Lambda}^{\circ} \mathrm{m}$ for acetic acid and its degree of dissociation $\displaystyle (\alpha)$ if its molar conductivity is $\displaystyle 48.1 \Omega^{-1} \mathrm{~cm}^{2} \mathrm{~mol}^{-1}$. Given that \[\begin{aligned} & \mathbf{\Lambda}^{\mathrm{o}} \mathrm{~m}(\mathrm{HCl})=426 \Omega^{-1} \mathrm{~cm}^{2} \mathrm{~mol}^{-1} \\ & \mathbf{\Lambda}^{\mathrm{o}} \mathrm{~m}(\mathrm{NaCl})=126 \Omega^{-1} \mathrm{~cm}^{2} \mathrm{~mol}^{-1} \\ & \mathbf{\Lambda}^{\circ} \mathrm{m}\left(\mathrm{CH}_{3} \mathrm{COONa}\right)=91 \Omega^{-1} \mathrm{~cm}^{2} \mathrm{~mol}^{-1} \end{aligned} \]
Marking-scheme solution
$$\mathbf{\Lambda}^{o}_{m(HAc)} = \mathbf{\Lambda}^{o}_{m(HCl)} + \mathbf{\Lambda}^{o}_{m(NaAc)} - \mathbf{\Lambda}^{o}_{m(NaCl)}
= (426 + 91 - 126)
= 391 \ \text{S cm}^2 \ \text{mol}^{-1}
\alpha = \frac{\mathbf{\Lambda}_m}{\mathbf{\Lambda}^{o}_m}
= \frac{48.1}{391}
= 0.123$$
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CBSE Class 12 Chemistry past-paper question from the 2025board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.