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Understanding Thermodynamics and Entropy

May 1, 2025

Lecture Notes: Laws of Thermodynamics

Introduction

  • Thermodynamics helps understand energy flow.
  • Concepts may seem like common sense but there's underlying math.
  • We'll discuss conceptual descriptions of the laws.

First Law of Thermodynamics: Conservation of Energy

  • Energy is not created or destroyed, only changes forms (e.g., potential to kinetic to heat).
  • Applies well for chemists despite exceptions at the quantum level.
  • Energy has a preferred direction of flow.

Second Law of Thermodynamics: Entropy

  • Entropy: Measure of disorder.
  • Entropy of a system and surroundings always increases.
  • Classic analogy: Rooms become messy over time.
  • High entropy: Energy is dispersed.
  • Example: Solid ionic vs. liquid state (more disorder in liquid).
  • Entropic influence examples: Heat flows from hot to cold naturally.
  • Entropy is measured in joules per kelvin.
  • Entropy is about energy distribution, not energy itself.

Third Law of Thermodynamics

  • Perfect crystalline solid at absolute zero has zero entropy.

Enthalpy and Gibbs Free Energy

  • Enthalpy: Describes energy of a system.
  • Gibbs Free Energy (G): Determines spontaneity of a process.
  • Equation: ΔG = ΔH - TΔS
    • Negative ΔG: Spontaneous process.
    • Positive ΔG: Non-spontaneous process.
  • Favorability:
    • Exothermic (negative ΔH) and increased entropy (positive ΔS) is spontaneous.
    • Endothermic (positive ΔH) can be spontaneous if entropy increase is large enough.
    • Temperature affects spontaneity:
      • Higher temps favor entropically favorable processes.
      • Lower temps favor energetically favorable processes.

Misconceptions and Examples

  • Incorrect use of entropy to suggest order can't happen spontaneously.
  • Entropically unfavorable processes can be spontaneous if energetically favorable.
  • Example: Soap and micelles formation:
    • Soap molecules have polar heads and nonpolar tails.
    • Form micelles trapping dirt, making them water-soluble.
    • Demonstrates order formation on a small scale, but overall entropy increase.

Conclusion

  • Entropy of the universe is always increasing despite local order.
  • Understanding these laws helps explain spontaneous processes.

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