In the process of electrolysis, electrical power is used to separate water into oxygen and hydrogen molecules via the reaction:

H2O --> H2 + ½O2

This is very much like running a hydrogen fuel cell in reverse. We assume that only the activation potential for the hydrogen reaction is non-negligible. All other potentials are negligible. Hence the relevant parameters are :

PO2 :1 atm
PH2: 1 atm
Temp: 350K
j0(H2): 0.1A/cm2
α(H2): 0.50

1. What is the current density in A/cm2 at a voltage of 1.5 V?

2. What area of the cell, in cm2, do we need in order to get a rate of H2 production of 1 mol/sec?