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Question
Choose the most correct answer :
The solubility product of a sparingly soluble salt AX is 5.2 × 10–13. Its solubility in mol dm–3 is ______.
Options
7.2 × 10–7
1.35 × 10–4
7.2 × 10–8
13.5 × 10–8
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Solution
The solubility product of a sparingly soluble salt AX is 5.2 × 10–13. Its solubility in mol dm–3 is `bb(underline(7.2 xx 10^-7))`.
Explanation:
Ksp = 5.2 × 10–13
\[\ce{\underset{s}{AX} ⇌ \underset{s}{A}^{-} + \underset{s}{X}^{+}}\]
Ksp = [A–][X+]
= s × s
5.2 × 10–13 = s2
`sqrt(10^-13) = sqrt(10^-12)` = 10–6
0.52 × 10–12 = s2
`sqrt(0.52 xx 10^-12)` = s
0.7211 × 10–6 = s
s = 7.211 × 10–7
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