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Basic Buffer Action

One litre of ...

Question

One litre of a buffer solution containig $0.01 M$ ${N H}_{4} C l$ and $0.1 M$ ${N H}_{4} O H$ having $p K_{b}$ of $5$ has pH of:

10

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Solution

The correct option is A $10$
Dissociation constant = $p K_{b} = 5$

$[S a l t] = [N H_{4} C l] = 0.01 M$
$[b a s e] = [N H_{4} O H] = 0.1 M$

From Henderson's equation, we get,

$p O H = p K_{b} + log \frac{[S a l t]}{[B a s e]} = 5 + log (\frac{0.01}{0.1}) p O H = 5 + log (0.1) = 4$

$p H = 14 - p O H = 14 - 4 = 10$

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