How Does Surface Tension Affect Thermodynamic Potentials in Soap Bubbles?

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SUMMARY

The discussion focuses on the impact of surface tension on thermodynamic potentials in soap bubbles, specifically through the differential work expression dW = −pdV + γdA. Participants explore how to derive new differential expressions for the internal energy (U), enthalpy (H), Helmholtz free energy (F), and Gibbs free energy (G), while identifying the natural variables associated with each potential. Additionally, the conversation touches on the potential existence of new Maxwell relations arising from these modifications.

PREREQUISITES
  • Understanding of thermodynamic potentials (U, H, F, G)
  • Familiarity with differential calculus in thermodynamics
  • Knowledge of surface tension and its role in physical systems
  • Basic principles of Maxwell relations in thermodynamics
NEXT STEPS
  • Derive the new differential expressions for U, H, F, and G in the context of surface tension
  • Investigate the natural variables for each thermodynamic potential
  • Explore the implications of surface tension on Maxwell relations
  • Study the application of these concepts in real-world systems, such as soap bubbles
USEFUL FOR

Students and researchers in thermodynamics, physicists studying fluid dynamics, and anyone interested in the thermodynamic behavior of soap bubbles and similar systems.

Zero-shift
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For a system modelling a soap bubble, the differential work done is now given by:

dW = −pdV + γdA, where γ is the surface tension and A the area. Compute new differential expressions for the potentials U, H, F, G. What are the new natural variables in each case? Are there any new Maxwell relations?
 
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Hi Zero. This looks like a homework problem, can you provide more context as to where the problem is sourced from, and what you've already done to try and solve it?
 
not homework, Its revision of past exam paper.
 

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