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How does pressure affect thermodynamic functions?

Pressure can significantly affect thermodynamic functions like enthalpy, Gibbs free energy, and others, especially for gases. Here’s a breakdown:


1. Internal Energy (U)

  • For ideal gases, U depends only on temperature, not pressure.
  • For real gases, high pressure increases molecular interactions, slightly affecting U.

2. Enthalpy (H)

  • Defined as H = U + P × V.
  • Increasing pressure increases the P × V term, so enthalpy can change.
  • Important in high-pressure reactions and compressors.

3. Gibbs Free Energy (G)

  • G = H – T × S
  • Increasing pressure generally increases G for gases, because it reduces entropy (molecules are more “crowded”).
  • This affects spontaneity of reactions involving gases.
    • Example: Gas-phase reactions may become less favorable at high pressure if the number of gas molecules increases.

4. Helmholtz Free Energy (A)

  • A = U – T × S
  • At constant volume, pressure changes indirectly affect A through changes in internal energy and entropy.

Simple idea:

  • High pressure compresses gases → molecules are closer → entropy decreases → Gibbs and Helmholtz energies usually increase.
  • Low pressure → more freedom → energies decrease → reactions may become more spontaneous.

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