We consider super-Earth sized planets which have a water mass fraction that is large enough to form an external mantle composed of high pressure water ice polymorphs and that lack a substantial H/He atmosphere. We consider such planets in their habitable zone so that their outermost condensed mantle is a global deep liquid ocean. For these ocean planets we investigate potential internal reservoirs of CO 2 ; the amount of CO 2 dissolved in the ocean for the various saturation conditions encountered, and the ocean-atmosphere exchange flux of CO 2 . We find that in steady state the abundance of CO 2 in the atmosphere has two possible states. When the wind-driven circulation is the dominant CO 2 exchange mechanism, an atmosphere of tens of bars of CO 2 results, where the exact value depends on the subtropical ocean surface temperature and the deep ocean temperature. When sea-ice formation, acting on these planets as a CO 2 deposition mechanism, is the dominant exchange mechanism, an atmosphere of a few bars of CO 2 is established. The exact value depends on the subpolar surface temperature. Our results suggest the possibility of a negative feedback mechanism, unique to water planets, where a reduction in the subpolar temperature drives more CO 2 into the atmosphere to increase the greenhouse effect.