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A Lewis acid id more broadly defined, because while the compound may be able to give accept electrons, it may not have a proton to give. For example, when carbon dioxide reacts with water, the CO2 is the Lewis acid, as it accepts an electron pair from the oxygen of H20. However, CO2 is not a Bronsted acid, because it doesn't have any protons to give. The resultant H2CO3 is a Bronsted acid because in solution, it will donate H+ to form [H30+] with water molecules.
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