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Le Chatelier's Principle for Del N Equals to 0

What is the p...

Question

What is the $p H$ of $0.5 M$ aqueous solution of $N a C N$ ? Given $p K_{b}$ of $C N^{-}$ = $4.70$

5.6

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3.4

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8.8

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11.5

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Solution

The correct option is D
11.5

$p K_{b}$ of $C N^{-}$ = $4.70$

$p K_{b}$ + $p K_{a}$ = $14$

$p K_{a}$ = $14.0$ - $4.70$ = $9.30$

$N a C N$ is a salt of a weak acid Vs strong base

$∴$ $P H$ = $\frac{1}{2} p K_{w} + \frac{1}{2} p K_{θ} + \frac{1}{2} l o g C$

= $\frac{1}{2} \times 14 + \frac{1}{2} \times 9.3 + \frac{1}{2} l o g 0.5$

= $11.5$

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