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Question

The solubility of barium sulphate at 298 K is 1.05×10mol dm. Calculate the solubility product.

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Solution

\(BaSO_{4(s)}\rightleftharpoons Ba^{2+}_{(aq)}+SO_{4(aq)}^{2-}\)
Notice that each mole of barium sulphate dissolves to give 1 mole of barium ions and 1 mole of sulphate ions in solution.
This means:
[Ba]=1.05×10 mol dm2+
[SO]=1.05×10 mol dm2
All we need to do is to put these values into the solubility product expression, and do the simple sum.
Ksp=[Ba2+][SO24]
=(1.05×105)×(1.05×105)
=1.10×1010 mol2 dm6

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