Electrode potential $E^\circ$ is an intensive property, whereas Gibbs energy $\Delta G^\circ$ is extensive. What follows from this distinction when balancing a complete redox reaction?

A. Multiplying a half-cell equation scales its $\Delta G^\circ$ but leaves $E^\circ$ unchanged

Thermodynamic potentials scale with the quantity of matter, but electrical potential is normalised per unit charge transferred. Confusing intensive voltages with extensive free energies leads to incorrect stoichiometric scaling during cell calculations.