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See http://www.fiu.edu/~pricer/Calcium%20Carbonate.pdf.

The solubility of CaCO3 depends on the solubility of CO2. The solubility of gases decreases in water as the temperature rises. This behavior is discussed at http://antoine.frostburg.edu/chem/senese/101/solutions/faq/temperature-gas-solubility.shtml.

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