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Salt of Weak Acid and Strong Base

A solution co...

Question

A solution consists of $C H_{3} C O O H (p K_{a} = 4.74)$ and $C H_{3} C O O N a$ . If the $p H$ of the solution reaches 6.74, the percentage dissociation of $C H_{3} C O O H$ is:

50%

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99%

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None of these

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Solution

The correct option is C 99%
$p H = p K_{a} + l o g \frac{s a l t}{a c i d}$
$6.74 = 4.74 + l o g \frac{s a l t}{a c i d}$
$∴ l o g \frac{s a l t}{a c i d} = 2$ , Hence
$[C H_{3} C O O^{-}] = 100 [C H_{3} C O O H]$
$c α = 100 (c - c α)$
$α = \frac{100}{101} = 0.99$
the percentage dissociation of $C H_{3} C O O H$ is 99%

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