This problem came from Fuel cell fundamentals 3rd edition Wiley.

Assume x moles per second of methanol and y moles per second of air are supplied to a direct methanol fuel cell (DMFC) generating a current of i amperes at a voltage V (volts).

(a) Write expressions for the output mass flux (mol/s) of methanol (vMeOH,out), air (vair,out), water(vH2O,out), and carbon dioxide (vCO2,out) using the given variables.

(b) Write expressions for the stoichiometric factors for methanol (MeOH) and air (air) using the given variables. (Clearly indicate numeric values for n in all cases)

CH3OH(methanol)+H2O6H++CO2+6e23O2+6e+6H+3H2O