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The following cell was constructed to find the difference in Ksp between two nat

ID: 1004994 • Letter: T

Question

The following cell was constructed to find the difference in Ksp between two naturally occurring forms of CaCO3(s), called calcite and aragonite.
Pb(s) | PbCO3(s) | CaCO3 (s, calcite) | buffer (pH 7.00) || buffer (pH 7.00) | CaCO3 (s, aragonite) | PbCO3(s) | Pb(s)
Each compartment of the cell contains a mixture of solid PbCO3 (Ksp = 7.4 x 10-14) and either calcite or aragonite, both of which have Ksp ~ 5 x 10-9. Each solution was buffered
to pH 7.00 with an inert buffer, and the cell was completely isolated from atmospheric CO2. The measured cell voltage was -1.8 mV. Find the ratio of solubility products, Ksp
(for calcite) / Ksp (for aragonite).

Explanation / Answer

Nernst equation gives

E= Eo-0.0592/n log calcite/aragonite

Eo = 0 as it is a concentration cell

-1.8 x 10-3 = -0.0592/2 log calcite/aragonite

log calcite/aragonite = 0.0608

calcite/aragonite = 100.0608

calcite/aragonite = 1.15

This is the ratio of their Ksp's

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