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pH the Power of H

A buffer solu...

Question

A buffer solution has equal volumes of $0.2 M$ $N H_{4} O H$ and $0.02 M$ $N H_{4} C l$ . The $p K_{b}$ of the base is $5$ . The $p H$ is:

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Solution

The correct option is A $10$
$p O H = p K b + l o g \frac{[N H_{4} C l]}{[N H_{4} O H]}$
$p O H = 5 + l o g \frac{0.02}{0.2}$
$p O H = 5 - 1$
$p O H = 4$
$p H = 14 - p O H = 14 - 4 = 10$

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