The of dimethylamine and of acetic acid are and respectively at . The correct option for the pH of d — Ionic Equilibrium Chemistry Question
Question
The $pK_b$ of dimethylamine and $pK_a$ of acetic acid are $3.27$ and $4.77$ respectively at $T \text{ K}$. The correct option for the pH of dimethyl ammonium acetate solution is:
Answer: A
💡 Solution & Explanation
Dimethyl ammonium acetate is a salt derived from a weak acid (acetic acid) and a weak base (dimethylamine). The formula for the pH of such a salt solution is $pH = 7 + \frac{1}{2}(pK_a - pK_b)$. Substituting the values: $pH = 7 + \frac{1}{2}(4.77 - 3.27) = 7 + \frac{1}{2}(1.50) = 7 + 0.75 = 7.75$.
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