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Basic Buffer Action

What ratio of...

Question

What ratio of acetic acid to sodium acetate concentration is needed to achieve a buffer whose pH is $5.70$ ? The dissociation constant of acetic acid is $1.8 \times 10^{- 5}$ .

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Solution

$p H = p K_{a} + log \frac{[S a l t]}{[A c i d]}$
$5.7 = 5 - l o g (1.8) + log \frac{[S a l t]}{[A c i d]}$
$5.7 = 5 - 0.255 + log \frac{[S a l t]}{[A c i d]}$
$0.955 = log \frac{[S a l t]}{[A c i d]}$
$⟹ \frac{[S a l t]}{[A c i d]} = 9$

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