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Mixture

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Question

Calculate $[H^{+}]$ in a solution that is 0.1 M both in $C H_{3} C O O H$ and $C H_{3} C O O N a$ ( $p K_{a}$ of $C H_{2} C O O H = 4.7$ ).

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Solution

Formula
$p H = p K a + log \frac{[s a l t]}{a} c i d$
$∴ p K a = 4.7$
$[s a l t] = [C H_{3} C O O N a] = 0.1 M$
$[a c i d] = [C H_{3} C O O H] = 0.1$
$∴ p H = p K a = 4.7$
$[H ⊖] = 10^{- 4.7} ≃ 10^{0.3010 - 5}$
$≃ 2 \times 10^{- 5}$

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