A buffer solution is prepared by mixing equal concentration of acid ( ionisation constant $K_{a}$ ) and a salt. The pH of buffer is:

p K_{a} + 7

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14 - p K_{a}

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p K_{a}

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p K_{a} + 1

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Solution

The correct option is A $p K_{a}$
Salt and acid concentrations are equal. So $[S a l t] = [A c i d] = x$

From Henderson's-Hasselbach equation, we get,

$p H = p K_{a} + l o g \frac{[S a l t]}{[A c i d]}$

$\Rightarrow p H = p K_{a} + l o g \frac{x}{x} = p K_{a} + l o g 1 = p K_{a}$

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