Ideal Reversible SOFC Thermodynamics

Usually, the Gibbs free energy AG is equal to the reversible work done, hence 

Moreover, to deline the efficiency, we require Gibbs free energy and enthalpy of reaction, i.e. efficiency of a fuel cell, which is defined as the ratio of Gibbs free energy and enthalpy change. 

As defined in Chap. 2, the fuel utilisation factor (C7 ) describes the efficiency of the fuel cell (Eq. 2.78), and fT is given by 

at the anode, the concentration of product H2O increases with the increasing fuel utilisation factor. As discussed in Chap. 3, 

We can also consider molar flow of electrons to further obtain the voltage gain. It is apparent that the molar flow of electrons ( e) is twice that of molar flow of hydrogen ( hJ i.e., 

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