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Basic Buffer Action

One litre of ...

Question

One litre of a buffer contains $40 g$ of ${N H}_{4} C l$ and $20 g$ of ${N H}_{3}$ . Calculate the pH of the solution. $K_{b} ({N H}_{3}) = 1.85 \times 10^{- 5}$ at $298 K$ .

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Solution

$p O H = p K_{b} + log \frac{[S a l t]}{[B a s e]}$
[Salt]= $\frac{40}{53.5} = 0.747 m o l e s$
[Base]= $\frac{20}{17} = 1.176 m o l e s$
$p O H = 5 - l o g (1.85) + log \frac{0.747}{1.176}$
$p O H = 4.548$
$p H = 14 - 4.548 = 9.452$

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