Page 88 - MODERN ASPECTS OF ELECTROCHEMISTRY
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Direct Methanol Fuel Cells
                                                           -3
                                and W e =W s  x ρ = 4.82 kWhr dm , where M = 0.032 kg is the molar 71
                                                                 -3
                                weight of methanol and ρ = 0.7914 kg dm is its density.
                                                                         o
                                   Under the standard reversible conditions (25 C), the energy effi-
                                ciency is  very high:
                                                             o    ∆G o  702
                                                         nFE r
                                          ε rev =  ( ∆H )  =  ( ∆H )  =  ∆H o  =  726  =96.7%  (8)
                                                 W e
                                                         _
                                                _
                                                    o
                                                             o
                                This is considerably higher than that of an H -O 2 fuel cell (i.e., 83%).
                                                                     2
                                However, under normal operating conditions, at a current density  j, the
                                electrode potentials deviate from their equilibrium values as a result of
                                large overpotentials, η , at both electrodes (Fig. 5):
                                                 i
                                                       –
                                                –
                                          η = E a ( j)– Er ≥ 0  at the methanol anode  (9a)
                                            a
                                                       +
                                           η = E c ( j)– E r ≥ 0  at the  oxygen  cathode   (9b)
                                                +
                                            c
                                   This results  from the  slow kinetics of methanol oxidation and oxygen
                                reduction. An additional loss is due to the cell resistance R e (arising mainly























                                Figure 5.   Typical half-cell potentials vs. current density curves tor an H 2 -O 2  fuel cell and
                                a DMFC.
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