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Basic Buffer Action

Given a solut...

Question

Given a solution of acetic acid. How many times of the acid concentration, acetate salt should be added to obtain a solution with $p H = 7$ ?
$K_{a}$ for dissociation of ${C H}_{3} C O O H = 1.8 \times 10^{- 5}$ .

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Solution

Acetate salt and acetic acid will form an acidic buffer.
So for an acidic buffer $p H = p K_{a} + log \frac{[S a l t]}{[A c i d]}$
$p H = p K_{a} + log \frac{[A c e t a t e s a l t]}{[A c e t i c A c i d]}$
$7 = 5 - log (1.8) + log \frac{[A c e t a t e s a l t]}{[A c e t i c A c i d]}$
$7 = 4.75 + log \frac{[A c e t a t e s a l t]}{[A c e t i c A c i d]}$
$2.25 = log \frac{[A c e t a t e s a l t]}{[A c e t i c A c i d]}$
$\frac{[A c e t a t e s a l t]}{[A c e t i c a c i d]} = 179.9$

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