In pure water at 25 °C

CHEMISTRY · Single correct · AP · Chemistry · Equilibrium · Equilibrium

Problem

In pure water at 25 °C, the molar solubility of BaSO₄ is 1.0×10−51.0\times10^{-5} M. Students measure the solubility of BaSO₄ in 0.020 M Na₂SO₄ to be 9.0×10−99.0\times10^{-9} M. Using the known KspK_{sp} of BaSO₄ (1.1×10−101.1\times10^{-10}), which statement best evaluates whether the experimental result agrees with the theoretical prediction? (a) Because activity coefficients in the 0.020 M Na2SO4\text{Na}_2\text{SO}_4 solution are unknown, the theoretical percent decrease cannot be computed, so no valid comparison can be made. (b) Ignoring the sulfate already present gives a predicted solubility close to that in pure water; the 99.9 % drop observed is therefore far larger than expected and contradicts theory. (c) The experimental percent decrease (≈99.9 %) is within 5 % of the value predicted from the KspK_{sp}, so the results agree with the common-ion effect. (d) The experimental percent decrease is only about 90 %, well below the theoretical prediction, so the data do not support the common-ion effect.

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