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Hydrogen ion concentration of a weak acid from its molar conductivity and limiting molar conductivity

The same question, asked 2 times: 15 Apr 2026 S1*, 20 Apr 2026 S2. Every wording below, oldest first.

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  1. Question 1

    15 Apr 2026 S1

    24
    The molar conductivity of 0.010.01 M monobasic acid at 25 ∘C25\ ^\circ\mathrm{C} is 15 ohm−1 cm2 mol−115\ \mathrm{ohm^{-1}\ cm^2\ mol^{-1}}. The molar conductivity of the same acid at infinite dilution is 375 ohm−1 cm2 mol−1375\ \mathrm{ohm^{-1}\ cm^2\ mol^{-1}}. Calculate [H+][\mathrm{H^+}] in solution.

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  2. Question 2

    20 Apr 2026 S2

    26
    If molar conductance at infinite dilution for CH3COO−\mathrm{CH_3COO^-} and H+\mathrm{H^+} ions are 50 S cm2 mol−150\ \mathrm{S\,cm^2\,mol^{-1}} and 350 S cm2 mol−1350\ \mathrm{S\,cm^2\,mol^{-1}} respectively, molar conductivity of 5×10−25 \times 10^{-2} M CH3COOH\mathrm{CH_3COOH} is 20 S cm2mol−120\ \mathrm{S\,cm^2mol^{-1}}. What is the hydrogen ion concentration in mol/dm3\mathrm{mol/dm^3} of CH3COOH\mathrm{CH_3COOH}?

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