The $p^{k_{b}}$ of dimethylamine and $p^{k_{a}}$ of acetic acid are 3.27 and 4.77 respectively at T (K). The correct option for the pH of dimethylammonium acetate solution is:

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6.25

5.50

8.50

7.75

answer is D.

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Detailed Solution

For a salt of weak acid and weak base P^H does not depend on concentration of salt.
$\begin{array}{l} P^{H} = 7 + \frac{1}{2} [P^{K_{a}} - P^{K_{b}}] \\ = 7 + \frac{1}{2} [4 .77 - 3 .27] = 7 .75 \end{array}$

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