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Ostwald Dilution Law Mathematical Interpretation

The pH of r...

Question

The $p H$ of resulting solution after addition of $N a C N$ is:

A

9.86

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B

8.86

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C

6.86

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D

5.86

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Solution

The correct option is A $9.86$
$H C l M o l e 10^{- 3} 0 + N a C N 4 \times 10^{- 3} 0.003 ⟶ N a C l 0 0.001 + H C N 0 0.001$

$∴ p H = p K_{a} + log \frac{[Conjugate base]}{[Acid]}$

$= 9.3872 + log \frac{0.003}{0.001} = 9.8643$

Hence, the correct option is $A$

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