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Given \( K_{a} \) values of \( 5.76 \times 10^{-10} \) and \( 4.8 \times 10^{-10} \) for \( \mathrm{NH}_{4}^{+} \)and HCN respectively. What is the equilibrium constant for the following reaction?
\[
\mathrm{NH}_{4}^{+} \text {(aq.) }+\mathrm{CN}^{-} \text {(aq.) } \rightleftharpoons \mathrm{NH}_{3} \text { (aq.) }+\mathrm{HCN}(a q \text {.) }
\]
(a) \( 0.83 \)
(b) \( 1.2 \)
(c) \( 8.0 \times 10^{-11} \)
(d) \( 27.6 \times 10^{-10} \)
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