pH required to decompose calcite?

Although I know more chemistry than the typical bloke on the street or
college graduate, I am not a professional chemist.

How would I go about calculating the pH at which calcium carbonate
(limestone, calcite, marble) decomposes to give carbon dioxide? Getting a
source of such information is good enough.

What chemical equations do I have to consider?
What equilibrium constants do I need to know?
Is there anything else?

Bill

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