Final answer:
The statement recognizing consistency between statements about standard Gibbs free energy is 'Change in temperature is constant,' as it underscores the role of constant temperature in determining the spontaneity of a process based on the Gibbs free energy equation.
Step-by-step explanation:
The statement that best recognizes consistency between statements about standard Gibbs free energy is C) Change in temperature is constant. This is because the Gibbs free energy (G) is defined as G=H-TS, which incorporates both enthalpy (H) and entropy (S) of a system, and weighs them by the temperature (T).
At a constant temperature, and during a process that occurs at constant temperature and pressure, a spontaneous process is accompanied by a decrease in free energy. This is in line with the second law of thermodynamics, which states that the total entropy of a system either increases or remains constant in any spontaneous process.
Therefore, when discussing Gibbs free energy, temperature constancy is crucial since it ensures that the free energy change, ΔG, is driven by the changes in enthalpy and entropy only.