Final answer:
Partial molar Gibbs Energy (Gi) is the change in Gibbs free energy when an additional mole of substance is added to a system, and is not simply represented by the options a), b), c), or d) provided. The concept relates to the individual contribution of a component to the total energy in a chemical reaction or solution.
Step-by-step explanation:
The Partial molar Gibbs Energy (Gi) is the change in Gibbs free energy of a system when one additional mole of a substance is added while the pressure, temperature, and amount of all other substances are kept constant. The term 'partial' refers to the contribution of that particular component to the total Gibbs Energy. This concept is crucial in the context of chemical reactions and solutions where the components can be different substances. The correct option for Partial molar Gibbs Energy (Gi) from the choices given is none because the listed formulas are incorrect representations of this concept.
In thermodynamics, the Gibbs free energy (G) is not conserved, meaning it can decrease or increase without a compensating change elsewhere contrary to energy conservation. The change in Gibbs free energy (∆G) is equal to the change in enthalpy (∆H) minus the product of the change in entropy (∆S) and temperature (T) in Kelvin. Partial molar Gibbs Energy is more complex and can't be simply defined by a function of G over 'n' or vice versa.