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Arrhenius Acid

pKa for aceti...

Question

$p K_{a}$ for acetic acid is $4.74$ . What should be the ratio of concentration of acetic acid and acetate ions to have a solution with $p H 5.74$ ?

1 : 10

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10 : 1

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1 : 1

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2 : 1

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Solution

The correct option is A $1 : 10$
Acidic buffer solution
$p H = p k_{a} + log \frac{[a c e t a t e]}{[a c e t i c a c i d]}$

Given $p H = 5.74$ and $p k_{a} = 4.74$

Put the values, we get

$5.74 = 4.74 + log \frac{[a c e t a t e]}{[a c e t i c a c i d]}$
$log \frac{[a c e t a t e]}{[a c e t i c a c i d]} = 1$
$\frac{[a c e t a t e]}{[a c e t i c a c i d]} = a n t i l o g 1$
$\frac{[a c e t a t e]}{[a c e t i c a c i d]} = 10$
$\frac{[a c e t i c a c i d]}{[a c e t a t e]} = \frac{1}{10}$

Therefore, the ratio is 1:10

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