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What is the relationship between enthalpy, entropy, and free energy?

Here’s a explanation of the relationship between enthalpy, entropy, and free energy:


1. Enthalpy (H)

  • Measures the heat content of a system at constant pressure.
  • Positive ΔH → heat is absorbed (endothermic).
  • Negative ΔH → heat is released (exothermic).

2. Entropy (S)

  • Measures the disorder or randomness of a system.
  • Positive ΔS → system becomes more disordered.
  • Negative ΔS → system becomes more ordered.

3. Free Energy (G, Gibbs Free Energy)

  • Combines enthalpy and entropy to predict if a process is spontaneous at constant temperature and pressure.
  • Spontaneous reactions: free energy decreases.
  • Non-spontaneous reactions: free energy increases.

Relationship (Conceptual)

  • Free energy depends on both heat and disorder:
    • A process can be spontaneous if it releases heat (ΔH negative) or if entropy increases (ΔS positive), or both.
  • If heat is absorbed but entropy increases enough, the reaction can still be spontaneous.

Simple Example:

  • Ice melting at room temperature:
    • ΔH > 0 (absorbs heat)
    • ΔS > 0 (disorder increases)
    • Free energy ΔG < 0 → the process happens spontaneously.

In short: Free energy = balance between enthalpy and entropy, and it tells whether a process will happen naturally.

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