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Common Ion Effect

Will a precip...

Question

Will a precipitate form if $50 c m^{3}$ of $0.01 M A g N O_{3}$ and $50 c m^{3}$ of $2 \times 10^{- 5} M N a C l$ are mixed?
[Given that: $K_{s p} (A g C l) = 10^{- 10} M^{2}$ ]

A

Yes

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B

No

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C

Ambiguous

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D

Data insufficient

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Solution

The correct option is A Yes
From data it can be seen that,
$[A g^{+}] = \frac{0.01}{2} M = 0.005 M$ and $[C l^{-}] = \frac{2 \times 10^{- 5}}{2} = 10^{- 5} M$

$I P = [A g^{+}] [C l^{-}] = 0.005 \times 10^{- 5} = 5 \times 10^{- 8} > K_{s p}$ so precipitation takes place.

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