The dissociation constants for acetic acid and $\mathrm{HCN}$ at $25^{\circ} \mathrm{C}$ are $1.5 imes 10^{-5}$ and $4.5 imes 10^{-10}$, respectively. The equilibrium constant for the equilibrium - $\mathrm{CN}^{-}+\mathrm{CH}_3 \mathrm{COOH} ightleftharpoons \mathrm{HCN}+\mathrm{CH}_3…

Question

The dissociation constants for acetic acid and $\mathrm{HCN}$ at $25^{\circ} \mathrm{C}$ are $1.5 	imes 10^{-5}$ and $4.5 	imes 10^{-10}$, respectively. The equilibrium constant for the equilibrium - $\mathrm{CN}^{-}+\mathrm{CH}_3 \mathrm{COOH} ightleftharpoons \mathrm{HCN}+\mathrm{CH}_3 \mathrm{COO}^{-}$ would be :

Aicharya · Accepted Answer

$\begin{aligned} \mathrm{K}_{\mathrm{c}} & =\mathrm{K}_{\mathrm{a}\left(\mathrm{CH}_3 \mathrm{COOH}ight)} 	imes \frac{1}{\mathrm{~K}_{\mathrm{a}(\mathrm{HCN})}} \ & =1.5 	imes 10^{-5} 	imes \frac{1}{4.5 	imes 10^{-10}} \ & \cong 3 	imes 10^4 \end{aligned}$

The dissociation constants for acetic acid and $\mathrm{HCN}$ at $25^{\circ} \mathrm{C}$ are $1.5 \times…

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