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The pKb of dimethylamine and pKa 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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The pKb of dimethylamine and pKa of acetic acid are 3.27 and 4.77 respectively at T (K). The correct option for the pH of dimethylammonium acetate solution is:

(1) 8.50

(2) 5.50

(3) 7.75

(4) 6.25

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Correct answer: (3) 7.75

Explanation:

Dimethyl ammonium acetate is a weak acid & weak base type of salt

pH = 7 + \(\frac{1}{2}\)pKa - \(\frac{1}{2}\)pKb

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

= 7.75

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