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What happens if delta g is positive?

Published in Chemical Thermodynamics 4 mins read

If the Gibbs Free Energy change (ΔG) for a reaction is positive, it signifies that the reaction is nonspontaneous. This means the reaction will not proceed on its own under the given conditions and requires a continuous input of external energy to occur.

Understanding Nonspontaneous Reactions

A positive ΔG indicates that the products of the reaction have higher free energy than the reactants. Nature tends towards states of lower energy, so a reaction with a positive ΔG will not spontaneously move towards its products. Instead, energy must be continuously supplied to "push" the reaction forward. Without this external energy, the reaction will either not happen at all, or it will favor the reactants.

The Role of External Energy Input

For a nonspontaneous reaction to proceed, an external energy source must be coupled with it. This energy input effectively overcomes the energy barrier, driving the reaction towards the formation of products. Common forms of energy that can drive nonspontaneous reactions include:

  • Heat energy: Supplying heat can sometimes make a nonspontaneous reaction proceed if the entropy increase is large enough and the temperature is high.
  • Electrical energy: Many industrial processes, such as the electrolysis of water to produce hydrogen and oxygen, rely on electrical energy to drive nonspontaneous reactions.
  • Light energy: Photosynthesis in plants is a prime example, where sunlight provides the necessary energy to convert carbon dioxide and water into glucose and oxygen.
  • Coupling with spontaneous reactions: In biological systems, nonspontaneous reactions are often driven by coupling them with highly spontaneous reactions (those with a negative ΔG), such as the hydrolysis of adenosine triphosphate (ATP). The energy released from the spontaneous reaction is used to power the nonspontaneous one.

Spontaneity and Gibbs Free Energy Summary

The sign of ΔG is a critical indicator of a reaction's spontaneity under constant temperature and pressure.

ΔG Value Reaction Spontaneity Energy Requirement Example
ΔG > 0 Nonspontaneous Requires continuous external energy input Charging a battery; Photosynthesis; Electrolysis of water
ΔG < 0 Spontaneous Occurs without external energy input Burning fuel; Rusting of iron; Discharging a battery
ΔG = 0 At Equilibrium No net change; forward and reverse rates are equal Water freezing at 0°C at standard pressure (equilibrium between liquid and solid states)

Note: Spontaneity refers to whether a reaction can occur, not necessarily how fast it occurs. Reaction rates are determined by kinetics, which is a separate consideration from thermodynamics.

Practical Implications and Examples

Understanding positive ΔG is crucial in various fields, from chemistry and biology to engineering:

  • Energy Storage: Devices like rechargeable batteries exemplify nonspontaneous processes. Charging a battery (converting electrical energy into chemical potential energy) requires a positive ΔG, meaning external electricity must be supplied.
  • Biological Processes: The synthesis of complex molecules (e.g., proteins from amino acids, DNA replication) within living organisms are often nonspontaneous. Cells overcome this by coupling these reactions with the hydrolysis of ATP, which is a highly spontaneous (negative ΔG) process.
  • Industrial Production: Many industrial processes, such as the production of aluminum from aluminum oxide or the Haber-Bosch process for ammonia synthesis, are nonspontaneous and require significant energy input (often heat or electricity) to be economically viable.
  • Environmental Applications: Remediation efforts, like breaking down pollutants into less harmful substances, may involve nonspontaneous reactions that require energy intervention.

In essence, a positive ΔG means you need to invest energy to make the reaction happen. This concept is fundamental to designing and understanding chemical processes and energy transformations. For more detailed information on Gibbs Free Energy, you can refer to resources on chemical thermodynamics.