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Q.

A buffer solution contain 0.36M Sodium acetate $({CH}_{3} COONa)$ and 0.45M Acetic acid $({CH}_{3} COOH), {pK}_{a} = 4.8$ . What is the pH of this buffer solution ?

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a

4.7

b

6.1

c

3.8

d

5.2

answer is A.

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Detailed Solution

$\begin{array}{l} P^{H} = {pK}_{a} + \log (\frac{salt}{acid}) \\ P^{H} = 4.8 + \log (\frac{0.36}{0.45}) \\ 4.8 + \log (\frac{36}{45}) \\ 4.8 + \log (\frac{4}{5}) \\ 4.8 + (\log 4 - \log 5) \\ 4.8 - (0.6020 - 0.6989) \\ 4.8 - 0.0969 \Rightarrow P^{H} = 4.7031 \end{array}$

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