Question 16.11: CALCULATING FROM Ksp At 25 °C, for PbCrO4 is 2.8 × 10^-13. C...

CALCULATING FROM K_{sp}

At 25 °C, for PbCrO_{4}  is  2.8  ×  10^{-13}. Calculate the standard free-energy change at 25 °C for the reaction PnCrO_{4}(s)  \rightleftharpoons  Pb^{2+}(aq)  +  CrO_{4}^{2-}(aq)

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We can calculate ΔG° directly from the equilibrium constant K_{sp}:

ΔG° = -RT ln K_{sp} = -[8.314 J/(K · mol)](298 K)(ln 2.8 × 10^{-13})

= 71.6 × 10³ J/mol = 71.6 kJ/mol

BALLPARK CHECK
The K_{sp} value is much less than 1, so ΔG° should be a large positive number, in agreement with the solution

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