Calculate the exact pH of a aqueous solution of ammonium chloride () at . Given that the of ammonia — Ionic Equilibrium Chemistry Question
Question
Calculate the exact pH of a $10^{-2} \text{ M }$ aqueous solution of ammonium chloride ($NH_4Cl$) at $25^\circ C$. Given that the $pK_b$ of ammonia ($NH_4OH$) is exactly $5.0$.
Answer: 5.5
💡 Solution & Explanation
$NH_4Cl$ is a salt derived from a strong acid ($HCl$) and a weak base ($NH_3$). It undergoes cationic hydrolysis, creating an acidic solution. The formula is $pH = 7 - \frac{1}{2}pK_b - \frac{1}{2}\log C$. Substituting the given values: $pH = 7 - \frac{1}{2}(5.0) - \frac{1}{2}\log(10^{-2}) = 7 - 2.5 - \frac{1}{2}(-2) = 7 - 2.5 + 1.0 = 5.5$.
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