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Questions  >>  SAT  >>  Chemistry  >>  chemical equilibrium
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Q)

$K_{sp}$ of $AglO_3$ is $1 \times 10^{4}$ at a given temperature what is the mass of $AglO_3$ in 100 ml of its saturated solution ?

$\begin{array}{1 1} (a)\;1.0 \times 10^{-4}\;gm \\(b)\;28.3 \times 10^{-2}\;gm \\ (c)\;2.83 \times 10^{-3}\;gm \\ (d)\;1.0 \times 10^{-3} \;gm \end{array} $

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A)
Solution :
$AglO \equiv Ag^{+}+IO^{-}$
$K_{sp}=S^{2}$
$\therefore S= (K_{sp})^{1/2}$
$\qquad= 1 \times 10^{-4} mol/lit$
1000 ml contains $283 \times 10^{-4} \;gm\;of\;AglO_3$
$\therefore$100 ml contains $28.3 \times 10^{-4} \;gm\;of\;AglO_3$
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