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Family of Salts

The pKb of di...

Question

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

6.25

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8.50

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5.50

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7.75

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Solution

The correct option is D $7.75$
Dimethylammonium acetate is a salt of weak acid and weak base whose pH can be calculated as

$p H = 7 + \frac{1}{2} (p K_{a} - p K_{b})$

$= 7 + \frac{1}{2} (4.77 - 3.27)$

$= 7.75$

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