An industrial synthesis of bromoethane, a reagent used in alkylation reactions, involves reacting ethanol with hydrogen bromide:
C2H5OH+HBr→C2H5Br+H2O \text{C}_2\text{H}_5\text{OH} + \text{HBr} \rightarrow \text{C}_2\text{H}_5\text{Br} + \text{H}_2\text{O} C2H5OH+HBr→C2H5Br+H2OCalculate the atom economy for the production of bromoethane from ethanol and hydrogen bromide.
(relative formula masses: C2H5OH=46.0\text{C}_2\text{H}_5\text{OH} = 46.0C2H5OH=46.0, HBr=80.9\text{HBr} = 80.9HBr=80.9, C2H5Br=108.9\text{C}_2\text{H}_5\text{Br} = 108.9C2H5Br=108.9, H2O=18.0\text{H}_2\text{O} = 18.0H2O=18.0)
Give your answer to one decimal place.
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