For part b) , I put O2 + 2H2O + 4e- ---> 4OH- , i just grabbed it of the Electrochemical series
But why have they written it as O2 + 4e- ---> 2O2- ? What's the thought process to getting this equation?
Thanks
Hey, thats what I did too when I did the question. But you have to look a bit more closely than that. You know the anode reaction, and you also know that water has to be the ONLY PRODUCT. Therefore, if we combine the anode ration given and the equation for moist air (the one you thought it was) we are going to have OH- as a product (which we do not need) and H20 as a reactant (which we do not need as it says, "hydrogen and oxygen are the only reactants").
So work backwards: If the anode reaction is: H2 + O2- ->H20 + 2e-
The Cathode reaction must start with O2 (as it is a reactant), must cancel out the O2- because that is not a product/reactant that we need (but make sure we have the right number of oxygens...hence a 2 in the front). To do this, we must put it on the products side, and then balance by using electrons.
Therefore:
O2 + 4e- ---> 2O2-
Then we multiply the anode reaction by 2 to get the overall!
I hope that all makes sense.