At , two weak monoprotic acids and have dissociation constants and respectively. Calculate the ratio of their degree of dissociations () if both acids are present in separate solutions of the exact sa

Question

At $25^\circ C$, two weak monoprotic acids $HA_1$ and $HA_2$ have dissociation constants $K_{a1} = 9 	imes 10^{-6}$ and $K_{a2} = 1 	imes 10^{-10}$ respectively. Calculate the ratio of their degree of dissociations ($\alpha_1 / \alpha_2$) if both acids are present in separate solutions of the exact same molar concentration $C$ (Assume $\alpha \ll 1$ for both).

Prashant Kotian · Accepted Answer

Correct answer: 300. From Ostwald's dilution law for weak acids, . At the same concentration, the ratio of degrees of dissociation is . Substituting the values gives .

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