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Find the limiting molar conductivity of hydrochloric acid, of magnesium chloride and of potassium…

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Find the limiting molar conductivity of hydrochloric acid, of magnesium chloride and of potassium hydroxide, in $\text{S cm}^2/\text{mol}$ . Which of the three has the highest value, and why?

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$\Lambda_m^\circ = \nu_+\lambda^\circ_+ + \nu_-\lambda^\circ_-$ , with the ion values in $\text{S cm}^2/\text{mol}$ : $\text{H}^+$ $349.6$ , $\text{K}^+$ $73.5$ , $\text{Mg}^{2+}$ $106.0$ , $\text{Ag}^+$ $61.9$ , $\text{Cl}^-$ $76.3$ , $\text{OH}^-$ $199.1$ . For a weak acid, $K_a = \dfrac{c\alpha^2}{1 - \alpha}$ . For a salt that hardly dissolves, $c = \dfrac{\kappa}{\Lambda_m^\circ}$ .

The worked solution

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