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Salt of Strong Acid and Weak Base

Determine the...

Question

Determine the pH value of $0.1 M$ aqueous solution of ammonium cyanide $(p K_{a} = 9.04, p K_{b} = 4.73)$ .

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Solution

$N H_{4} C N$ is a salt of weak acid and weak base. So
$p H = 7 + 0.5 (p K_{a} - p K_{b})$
$p H = 7 + 0.5 (9.04 - 4.73)$
$p H = 9.155$

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