The change in free energy is equal to the useful work done in a reversible process at constant temperature and pressure
ΔG = Wnet ...(i)
In an electrochemical cell and work obtained is equal to the charge transferred multiplied by the potential difference:
Welectrical = – nFE ...(ii)
The negative sign appears because the work is done by the charge. In equation (ii) n is the moles of electrons gained or lost in redox reaction and F is the Faraday constant.
In a cell when only electric work is done, then
Wnet= WeIectrical = – nFE ...(iii)
From relation (i) and (iii), we have
ΔG = – nFE
or ΔG = – mFE°cell.
= 1.05 V – 0.0295 x log 80
= 1.05 V – 0.0295 x 1.9031
= 1.05 V – 0.056 = 0.99 V.