Consider the equation ∆G = –nFE, where F = 9.648533289 x 104 C/mol. Given that n is the mole of e– transferred and the following relationships, prove that ∆G will be in units of Joules.

See explanation below.

Explanation:

In the equation  ∆G = –nFE,  E is the electromotive force ( cell potential ) in Volts.

Now in turn a Volt is defined as the potential difference that will impart one joule of energy per coulomb of charge that moves through two points.

V = J/C where J is Joules and C is coulombs of charge

Therefore in terms of units the equation will give us units of Joules:

[ mol] x [C/mol] x [J/C] = [J]