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Relationship between free energy, enthalpy, and entropy

  • The relationship between free energy (G), enthalpy (H), and entropy (S) is a foundational concept in biochemistry, providing insight into the spontaneity and directionality of chemical reactions within biological systems.

  • These three thermodynamic parameters are interconnected by the Gibbs free energy equation, which is pivotal for predicting the feasibility of biochemical reactions.

  • To understand the dynamics of this relationship in detail, let's break down each component and see how they interact within the context of the Gibbs free energy equation:

Gibbs Free Energy Equation

The equation that connects free energy, enthalpy, and entropy is expressed as: ΔG=ΔH−TΔS where:

  • ΔG is the change in free energy,

  • ΔH is the change in enthalpy,

  • T is the absolute temperature in Kelvin,

  • ΔS is the change in entropy.

Free Energy (G)

  • Free energy quantifies the amount of work a system can perform when a reaction occurs at constant temperature and pressure.

  • It essentially measures the usability of the system's energy.

  • The sign of ΔG determines the reaction's spontaneity:

    • A negative ΔG indicates a spontaneous reaction, which can proceed without any external energy input.

    • A positive ΔG suggests a non-spontaneous reaction, requiring energy to proceed.

Enthalpy (H)

  • Enthalpy represents the total heat content of a system, reflecting both its internal energy and the product of its pressure and volume.

  • Changes in enthalpy (ΔH) during a reaction indicate whether the system absorbs or releases heat:

    • A positive ΔH denotes an endothermic reaction, where the system absorbs heat from its surroundings.

    • A negative ΔH signifies an exothermic reaction, where the system releases heat to its surroundings.

Entropy (S)

  • Entropy measures the disorder or randomness within a system.

  • The change in entropy (ΔS) during a reaction reflects changes in the system's disorder:

    • A positive ΔS indicates that the disorder (or randomness) in the system has increased.

    • A negative ΔS suggests that the system has become more ordered.

Interplay Between H, S, and G

  • The Gibbs free energy equation beautifully illustrates how the balance between enthalpy and entropy influences the spontaneity of reactions:

    • Spontaneous reactions (ΔG<0) can occur when the system releases heat (ΔH<0) and/or the disorder increases (ΔS>0).

    • Non-spontaneous reactions (ΔG>0) require energy input to proceed and are characterized by the absorption of heat (ΔH>0) and/or a decrease in disorder (ΔS<0).

  • Temperature (T) plays a crucial role, modulating the effect of entropy changes on the free energy.

  • This interdependence is crucial in biological systems, where the precise control of reaction spontaneity underpins metabolic processes, energy storage, and the overall functioning of living organisms.


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