For a process that occurs at constant temperature, does the change in Gibbs free energy depend on changes in the enthalpy and entropy of the system?

For a reaction that occurs at constant temperature: Yes, the Gibbs free energy depends on changes in the enthalpy and entropy of the system.

At constant temperature: The Gibb's free energy is given mathematically as;

According to the equation relating the Gibb's free energy to the enthalpy and entropy of the system.

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Gibbs's free energy helps to combine enthalpy and entropy into a single value. The change in the Gibbs free energy of the system occurs when It equals the enthalpy (∆H) minus the entropy (∆S) of the system, and product of the temperature.

(G = H — TS)

Gibbs free energy is known as the energy which is associated with a chemical reaction that can do useful work. At a constant temperature it is describe as:

∆G = ∆H — T∆S.

∆G finds the direction of the chemical reaction. If ∆G is negative, the reaction called a spontaneous reaction. If ∆G is positive, the reaction is called a non-spontaneous reaction. If ∆G is 0 the system is at equilibrium state.

r just means there's a number of carbon in teh chain. for example rcooh means that after x number of carbon, the chain ends with cooh.

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