E(V) for half reaction 3N(-1/3) -> 3 N(0) + e-
To calculate the standard electrode potential, E(V), for the half reaction 3N(-1/3) -> 3 N(0) + e-, you need to refer to a table of standard electrode potentials or reduction potentials.
Here is how you can find the answer:
1. Look up the reduction potential for the nitrogen half-reaction: N(0) + e- -> N(-1/3). The reduction potential value for this half-reaction should be listed in a standard electrode potentials table.
2. The standard electrode potential for the reverse reaction (oxidation potential) is equal in magnitude but opposite in sign to the reduction potential. So, reverse the sign of the reduction potential obtained in the previous step.
3. Since you have three times the stoichiometric coefficient for the nitrogen half-reaction, multiply the obtained value by three.
For example, if you find the reduction potential for the half-reaction N(0) + e- -> N(-1/3) to be -1.5 V, the oxidation potential for the given half-reaction 3N(-1/3) -> 3 N(0) + e- would be +4.5 V (3 * (-1.5 V)).
Therefore, the E(V) for the given half-reaction 3N(-1/3) -> 3 N(0) + e- would be +4.5 V.