Calculate the maximum efficiency of an ethanol fuel cell at 25°C and 1 bar. Compare your efficiency to that of a hydrogen fuel cell operating at the same temperature and pressure. Approximate answer for ethanol: 100% efficiency.
The combustion reaction of ethanol can be written as shown below.
C2H5OH + 3O2 2CO2 + 3H2O
According to the above equation, for the 100% efficiency, 3 moles of oxygen is required for the complete combustion (i.e for the formation of 2 moles of CO2 and 3 moles of H2O) of 1 mole of ethanol at 25 oC (= 298 K) and 1 bar (= 1 atm).
Now, the reaction in the hydrogen-oxygen fuel cell can be written as shown below.
2H2 + O2 2H2O
In the above reaction, 2 moles of hydrogen require 1 mole of oxygen for the formation of 2 moles of water and there is no carbon content.
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