Gibbs Free Energy: Queries & Answers

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Gibbs free energy (G) is crucial in understanding chemical and physical changes, particularly in relation to equilibrium. At equilibrium, the Gibbs free energy is minimized because the system reaches a state where the forward and reverse reactions occur at equal rates, indicating no net change. This state arises from a balance between the tendencies to minimize energy (enthalpy) and maximize disorder (entropy). The equation ΔG = ΔH - TΔS illustrates this relationship, where ΔH is the change in enthalpy, ΔS is the change in entropy, and T is the temperature. When Gibbs free energy is positive, the forward reaction is deemed non-spontaneous; however, it can still proceed under certain conditions, such as when the temperature is increased. A higher temperature enhances the TΔS term, potentially making ΔG negative and driving the reaction forward. Understanding these concepts clarifies why reactions may not go to completion and how equilibrium is achieved through the interplay of enthalpy and entropy.
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Hi, I've recently started studying chemistry and have being going over gibbs free energy.. I understand it is a driving force causing chemical and physical changes but during my course of reading I did have some queries stem to mind.

1) In relation to equilibrium why is it that a reaction occurs such that G is minimum ? I.e. i read that the reason neither the forward nor reverse reaction proceeds to completion during equilibrium is because Gibbs Free Energy is at a minimum. Is this due to no driving force being provided?

2) When gibbs free energy is positive it indicates the forward reaction (e.g. A --> B) is non-spontaneous why does it still occur? I read something about the reaction still proceeds but the pressure of the product does not read 10^5 P i.e. standard pressure?
im really confused on this bit can somone please simplify this

cheers for any help
 
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Equilibrium can be viewed as compromise between two opposing tendency of the system:
1. to attain minimum energy (enthalpy)
2. of maximum molecular chaos (entropy)
remember this equation,
\DeltaG=\DeltaH-T\DeltaS
where \DeltaH is the enthalpy change, \DeltaS is the entropy change, and T is the temperature
A higher value of T\DeltaS signifies greater spontaneity. So as this parameter increases, \DeltaG becomes smaller and smaller. For Gibbs energy we hav, -\DeltaG\geq0. At equilibrium, the two tendencies mentioned above are equal. So, \DeltaH=T\DeltaS; & \DeltaG=0.
To make a reaction with positive Gibbs energy occur, you just increase the temperature, that will increase the T\DeltaS factor in the equation.
 
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