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Given : Enthalpy of ionization of two acids :
\( \Delta H^{\circ}(\mathrm{HCN})=45.2 \mathrm{~kJ} \mathrm{~mol}^{-1} \)
\( \Delta H^{\circ}\left(\mathrm{CH}_{3} \mathrm{COOH}\right)=2.1 \mathrm{~kJ} \mathrm{~mol}^{-1} \)
which relationship for the two acids is true
(a) \( p K_{a}(\mathrm{HCN})=p K_{a}\left(\mathrm{CH}_{3} \mathrm{COOH}\right) \)
(b) \( p K_{a}(\mathrm{HCN})p K_{a}\left(\mathrm{CH}_{3} \mathrm{COOH}\right) \)
(c) \( p K_{a}(\mathrm{HCN})p K_{a}\left(\mathrm{CH}_{3} \mathrm{COOH}\right) \)
(d) \( p K_{a}(\mathrm{HCN})=\frac{45.2}{21} p K_{a}\left(\mathrm{CH}_{3} \mathrm{COOH}\right) \)
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