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⚡Gibbs Free Energy (ΔG=ΔH-TΔS)

What is Gibbs Free Energy?

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Gibbs free energy (G) determines whether a chemical reaction can occur spontaneously at constant temperature and pressure. ΔG = ΔH − TΔS: negative ΔG means spontaneous; positive means non-spontaneous.

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How to Gibbs Free Energy

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  1. 1ΔG = ΔH − TΔS
  2. 2ΔH = enthalpy change (bond energies)
  3. 3T = temperature in Kelvin
  4. 4ΔS = entropy change (disorder)
  5. 5ΔG < 0: spontaneous; ΔG > 0: non-spontaneous; ΔG = 0: equilibrium

Worked Examples

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Example 1
Given:ΔH=−200kJ · T=298K · ΔS=+150J/K
परिणाम:ΔG = −200−(298×0.15) = −244.7 kJ → spontaneous

Both enthalpy and entropy favour spontaneity

Special Cases

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Temperature-dependent spontaneity

When ΔH and TΔS have opposite signs, temperature determines spontaneity. Endothermic reactions with positive ΔS become spontaneous at high T; exothermic reactions with negative ΔS become spontaneous at low T.

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Did you know?

Josiah Willard Gibbs developed this function in 1873–1876 — arguably the most significant contribution to chemistry in the 19th century, enabling prediction of chemical equilibria.

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Reviewed October 2026
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