Ionic Equilibrium Question 1

Question 1 - 2024 (01 Feb Shift 1)

$\mathrm{K}{\mathrm{a}}$ for $\mathrm{CH}{3} \mathrm{COOH}$ is $1.8 \times 10^{-5}$ and $\mathrm{K}{\mathrm{b}}$ for $\mathrm{NH}{4} \mathrm{OH}$ is $1.8 \times 10^{-5}$. The $\mathrm{pH}$ of ammonium acetate solution will be

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Answer (7)

Solution

$\mathrm{pH}=\frac{\mathrm{pK}{\mathrm{w}}+\mathrm{pK}{\mathrm{a}}-\mathrm{pK}_{\mathrm{b}}}{2}$

$\mathrm{pK}{\mathrm{a}}=\mathrm{pK}{\mathrm{b}}$

$\Rightarrow \mathrm{pH}=\frac{\mathrm{pK}_{\mathrm{w}}}{2}=7$