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Q.

A buffer solution contains 0.1 mole of sodium acetate in 1000 $c m^{3}$ of 0.1 M acetic acid. To the above buffer solution, 0.1 mole of sodium acetate is further added and dissolved. The $p H$ of the resulting buffer is equal to

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a

$p K_{a}$

b

$p K_{a} + \log 2$

c

$p K_{a} + 2$

d

$p K_{a} - \log 2$

answer is D.

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Detailed Solution

Solution: Given that –
$[C H_{3} C O O N a] = 0.1 M [C H_{3} C O O H] = 0.1 M 0.1 m o l C H_{3} C O O N a \to a d d [C H_{3} C O O H] = 0.1 M$
According to the Henderson’s equation
$p H = p K_{a} + \log \frac{[S a l t]}{[A c i d]} p K_{a} + \log \frac{0.2}{0.1} p K_{a} + \log 2$

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