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Electrolytes

How much shou...

Question

How much should sodium acetate be added to 0.1 M solution of $C H_{3} C O O H$ to give a solution of $p H = 5.5$ ( $p K_{a}$ of $C H_{3} C O O H = 4.5$ )?

0.1 M

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0.2 M

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1.0 M

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10.0 M

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Solution

The correct option is D $1.0 M$
The expression for the pH of the acidic buffer solution is as given below.
$p H = p K_{a} + l o g \frac{[s a l t]}{[a c i d]}$ .
$p K_{a} = 4.5$ .
Substitute values in the above equation.
$5.5 = 4.5 + l o g \frac{[s a l t]}{0.1}$
Hence, $[s a l t] = 1.0 M$ .

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