2.14 Consider a dimethylether [DME, (CH3)2 O] fuel cell stack running at a DME stoichiometry (DME) of 2.4 and a cathode oxygen Faradic efficiency (8) of 0.3. There are 15 cells (connected in series) in the stack, all operating at 0.4 V. The active area of all cells in the stack is 25 cm², and the current density of each cell is 0.1 A/cm². The anode electrochemical reaction is (CH3)20+ 3H2O12H + 12e+2CO₂ The cathode electrochemical reaction is O2+4e+4H2H₂O with the following molecular weights: DME 44 g/mol H₂O 18 g/mol O₂ 32 g/mol Air 28.85 g/mol (a) How many moles of water are created at the cath- ode per mole of DME? (b) What is the theoretical consumption rate of DME at the anode in grams per second? What is the actual supply rate in grams per second? (c) What is the theoretical consumption rate of H₂O at the anode in grams per second? (d) What is the actual supply rate of air at the cathode in grams per hour? (e) Would a DME fuel cell theoretically need a water storage tank? Explain your answer.