A method for synthesizing graphene sheets from carbon dioxide gas comprises percolating a gaseous carbon dioxide solution through an aqueous monoethanolamine solution at a low temperature, heating the aqueous monoethanolamine solution to release absorbed carbon dioxide, collecting the released carbon dioxide in a carbon dioxide collection chamber having magnesium metal element. The magnesium metal elements are ignited in the presence of carbon dioxide to form magnesium oxide and graphene flakes. The graphene flakes and magnesium oxide are washed with an aqueous hydrochloric acid solution to form magnesium chloride, water and graphene flakes, which are then separated. The graphene flakes are then exfoliated in an ammonium sulfate solution, separated from the ammonium sulfate solution, and tumbled in a tumble blender for several hours. Finally, graphene sheets are grown from the exfoliated flakes by immersing them in ethanol and applying a current. The graphene sheets are then separated from the ethanol and used in a variety of applications.