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pH the Power of H

What is the m...

Question

What is the minimum $p H$ required to prevent the precipitation of $Z n S$ in a solution that is $0.01$ $M Z n C l_{2}$ and saturated with $0.10 M H_{2} S$ ?
[Given : $K_{s p} = 10^{- 21}, K_{a_{1}} \times K_{a_{2}} = 10^{- 20}]$

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Solution

The correct option is B 1
$K_{s p} = [Z n^{2 +}] [S^{2 -}]$
$[S^{2 -}] = \frac{10^{- 21}}{0.01} = 10^{- 19}$
for $K_{a_{2}} \times K_{a_{2}} = \frac{[H^{+}]^{2} [S^{2 -}]}{[H_{2} S]}$
$10^{- 20} = \frac{[H^{+}]^{2} \times 10^{- 19}}{0.1} \Rightarrow [H^{+}] = 0.1$
Or $p H = 1$

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