Question
What will be the pH of 0.1 M ammonium acetate solution? $\mathrm{pK}_{\mathrm{a}}=\mathrm{pK}_{\mathrm{b}}=4.74$.
✓
Answer
For a salt of ammonium acetate,
$\text{pH}=\frac{1}{2}\text{pK}_{\text{w}}+\frac{1}{2}\text{pK}_{\text{a}}-\frac{1}{2}\text{pK}_{\text{b}}$
$=\frac{1}{2}(14)+\frac{1}{2}(4.47)-\frac{1}{2}(4.74)=7$
$\text{pH}=\frac{1}{2}\text{pK}_{\text{w}}+\frac{1}{2}\text{pK}_{\text{a}}-\frac{1}{2}\text{pK}_{\text{b}}$
$=\frac{1}{2}(14)+\frac{1}{2}(4.47)-\frac{1}{2}(4.74)=7$
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