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p^Hof a 0.1M weak monoprotic acid is 3. If this solution is diluted by 100 times, the resultant p^H will be

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answer is A.

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Detailed Solution

$[H^{+}] = \sqrt{C K_{a}}$
$K_{a}$ does not vary with dilution

$∴ \frac{{[H^{+}]}_{1}}{{[H^{+}]}_{2}} = \sqrt{\frac{C_{1}}{C_{2}}} \Rightarrow \frac{10^{- 3}}{{[H^{+}]}_{2}} = \sqrt{\frac{10^{- 1}}{10^{- 3}}}$

${[H^{+}]}_{2} = \frac{10^{- 3}}{10} = 10^{- 4}$

$p^{H} = 4$

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