An integrated fuel cell and carbon capture system, operating on carbon- containing reactants including a liquid, wherein CO2 in the fuel cell reacts or dissolves in the liquid; and a means for sequestering the reacted or dissolved CO2 in the liquid by forming a stable carbonate compound and regenerating the liquid. The means for sequestering the reacted or dissolved CO2 may be a source of group II metal ions, commonly found as finely divided waste mineral materials.