If all the carbonate shall be converted to nitrate, then the amount (or rate) of emitted CO2 depends on the amount (or rate) of carbonate, as computed through a balanced equation. Kinetics influences the necessary reactor size.
In reactions with a solid (your calcium carbonate is a solid, isn't it?), the reaction kinetics may be ill-defined and depend essentially on grain size and on stirring. In such a case, data wouldn't apply, and is probably unavailable.