a. A polymer electrolyte membrane fuel cell (PEMFC) operates at 100 C on air (1 atm) supplied on the cathode side with the volume fraction given in Table 1, and pure hydrogen (1 atm) on the anode side. This system produces water. Calculate the cell voltage for this cell when there is no current drawn in terms of E0, where E0 is the open-circuit voltage at the standard state. Show your half-cell reactions at the cathode and anode, together with the overall cell reaction. Will this cell voltage remain constant when the current starts to flow? Discuss your answer. Table 1 Compositions of air

Constituent	Molecular weight (g mol-1)	Volume fraction (%)
Oxygen (O2)	31.999	20.95
Nitrogen (N2)	28.013	78.08
Argon (Ar)	39.948	0.934
Others (including CO2)		0.036

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b. If the anode of the PEMFC is now directly supplied with syngas composed of 13 mol% H2, 1 mol% CH4, 16 mol% CO, 5 mol% CO2, 36 mol% H2O and 29 mol% N2, with the same operating conditions and oxidant as in Q3a, how does the performance of this PEMFC compare to the one given in Q3a. Discuss your answer and suggest ways to improve the cell performance under this condition. Support your arguments with findings from peer-reviewed articles. [70%]