Electrolysis

AnsC
Prove it by equation.

@ayush_nath
it is a property of electode potential that it doesn't depends on amount of substance while gibbs free energy depends
I don't think here is a proof of it by equation.

@dikshantgautam
I mean is there any relation between gibbs energy and mass
I am getting wrong result
Please find my mistake

@ayush_nath
dont understand what is your solution for.
@DIKSHANTGAUTAM is correct for defination.

Electeic potential is an intensive property because it is not depending on amount if substance, it is same for the reaction based on number of electrons transfer. It's a potential difference based on electron number. But in case of gibbs free energy if you go back and see the exact equation with a entropy you will get that entropy is a measure of randomness and it is an extensive property which can decide the property of gibbs free energy.
Gibbs free energy is a maximum work done by a system and it will be depending on the energy and that will be from the amount of substance whether it is in a bulk order not.
Every property can not be explained by an equation as if you consider this from pressure as a scalar quantity you will find two vector side in the equation. So always try to take it conceptually with a proper practical example which will help explaining you. But it was a nice question you asked based on the equation.

@nukitapuyol
What you dont understand?
Its nerst equation when E reaction = 0
See carefully