The hydrogen-oxygen fuel cell is described in Section 18.6. (a) What volume of H2(g), stored at 25C at a pressure of 155 atm, would be needed to run an electric motor drawing a current of 8.5 A for 3.0 h? (b) What volume (liters) of air at 25C and 1.00 atm will have to pass into the cell per minute to run the motor? Assume that air is 20 percent O2 by volume and that all the O2 is consumed in the cell. The other components of air do not affect the fuel-cell reactions. Assume ideal gas behavior.

Problem 18.39The hydrogen-oxygen fuel cell is described in Section 18.6. (a) What volume of (g),stored at 25C at a pressure of 155 atm, would be needed to run an electric motor drawing acurrent of 8.5 A for 3.0 h (b) What volume (liters) of air at 25C and 1.00 atm will have topass into the cell per minute to run the motor Assume that air is 20 percent byvolume and that all the is consumed in the cell. The other components of air do notaffect the fuel-cell reactions. Assume ideal gas behavior. Step by step solutionStep 1 of 2(a)The half - cell reactions for the electrolysis of hydrogen - oxygen cell are as follows.____________________________________________________________From the given ,Current = 8.5 ATime = 3600 sLet’s calculate the charge of the electrolytic cell.Hence, the charge of electrolytic cell is\nLet’s calculate the produced moles of hydrogen at anode.Hence, 0.476 moles of hydrogen produced at an anode.Let’s calculate the volume of hydrogen gas.Volume of hydrogen gas can be calculated by the Ideal gas equation. ..............................(1)Rearrange the formula is as follows. ..............................(2) V = Volume of the gas n = Number of moles of the gas R = Gas constant T = Temperature of the gas P = Pressure of the gasFrom the given,Pressure (P) = 155 atmNumber of moles (n) = 0.476 molGas constant (R) = 0.0821 L .atm /mol.KTemperature (T) = 25 + 273 = 298 KSubstitute the given values in the equation (2)Therefore, the volume of hydrogen gas is 75.0 ml.\n____________________________________________________________________________