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Acidity of Alcohols and Phenols

Fixed volume ...

Question

Fixed volume of $0.1 M$ benzoic acid $(p K_{a} = 4.2)$ solution is added into $0.2 M$ sodium benzoate solution and formed a $300 m l$ resultant acidic buffer solution. If $p H$ of this buffer solution is $4.5$ then find the added volume of benzoic acid.

100 m l

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150 m l

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200 m l

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Solution

The correct option is B $150 m l$
As we know,
$p H = p K_{a} + l o g (\frac{s a l t}{a c i d})$

$4.5 = 4.2 + l o g (\frac{s a l t}{a c i d})$

$l o g (\frac{s a l t}{a c i d}) = 0.3$

$\frac{s a l t}{a c i d} = 2$

$\frac{0.2 \times (300 - v)}{0.1 \times v} = 2$ $⟹ v = 150 m l$

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