First time post here, I hope this is a suitable forum.
To find a maximum theoretical fuel cell efficiency, it is common to take the Gibbs free energy of formation and divide by the heat of formation.
For a hydrogen oxygen fuel cell this equation results in -237.192 [kJ/mol] / -285.840 [kJ/mol] = 0.8298 or 82.98% theoretical maximum efficiency.
For a hydrogen chlorine fuel cell, Gibbs free energy of formation is -95.30 [kJ/mol] and the heat of formation is -92.31 [kJ/kmol]. This results in a maximum theoretical efficiency of 103.2%. This of course is not possible.
Where is the discrepancy? I know a lot of reasons why a fuel cell could never reach its maximum efficiency however I can't figure out why the heat of formation is greater than the Gibbs free energy of formation for HCl.
If it helps the half reactions are: H2(g) -> 2H+(g) + 2e- 2Cl2(g) + 2H+ (g) + 2e- -> 2HCl(g)
Any thoughts would be greatly appreciated.