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Calcium Carbonite in a Lake

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If a piece of Calcite (Calcium Carbonate) is put into the lake, would it tend to dissolve? Calcium carbonate solubility is 10^-8.35 M2, and the measured concentration of calcium ion is 0.1mM (millimolar)

Information received:
Lake pH=4, and total carbonate concentration of 0.001M.

Carbonate Equilibria:
CO2 + H20 <-> H2CO3 KH= 10^-1.5 mole/(liter.atm)
H2CO3 <-> HCO3- + H+ K1= 10^-6.3 mole/lter
HCO3- <-> CO3^-2 + H+ K2= 10^ -10.3 mole/liter

In a previous question I calculated the concentration of each carbonate species in the lake water, I think they are correct.
H2CO3= 10^-5
HCO3-= 5.012 X 10^-8
CO3^-2= 2.512 X 10^-14

I do not not even know where to begin... My chemistry is a bit rusty. Please help me set the problem up.

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Solution Summary

This solution is provided in 545 words in an attached .rtf file. It discusses acid base chemistry and ionization, and gives step-by-step explanations for solving the problem.

Solution Preview

This is basically a solubility problem, with a few little tricks involved. For one, we are dealing with some acid base chemistry, but do ...

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