An industrial synthesis of the fuel additive methyl tert-butyl ether (MTBE), C5H12O\text{C}_5\text{H}_{12}\text{O}C5H12O, is carried out by reacting methanol with 2-methylpropene according to the following chemical equation:
CH3OH(l)+C4H8(g)→C5H12O(l) \text{CH}_3\text{OH}(\text{l}) + \text{C}_4\text{H}_8(\text{g}) \rightarrow \text{C}_5\text{H}_{12}\text{O}(\text{l}) CH3OH(l)+C4H8(g)→C5H12O(l)Explain, with reference to this equation, why the atom economy for this reaction is 100%.