Entropy in an isobar transformation

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SUMMARY

The variation of entropy in an isobar transformation can be calculated using the equation TdS = dU + PdV. For an ideal gas, where PV = nRT, the entropy change is expressed as ΔS = ∫(dU/T) + P∫(dV/T). By substituting dU with nCvdT and P with nRT/V, the relationship between temperature and volume during the transformation can be established. This method provides a clear pathway to determine entropy changes in isobaric processes.

PREREQUISITES
  • Understanding of the first law of thermodynamics
  • Familiarity with ideal gas laws (PV = nRT)
  • Knowledge of thermodynamic equations (TdS = dU + PdV)
  • Basic calculus for integration
NEXT STEPS
  • Study the derivation of the first law of thermodynamics
  • Learn about the properties of ideal gases and their equations of state
  • Explore the concept of heat capacity (C_v) in thermodynamic processes
  • Investigate the implications of entropy changes in various thermodynamic transformations
USEFUL FOR

Students and professionals in thermodynamics, physicists, and engineers focusing on heat transfer and energy systems will benefit from this discussion.

alialice
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What is the variation of entropy in an isobar transformation?
 
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alialice said:
What is the variation of entropy in an isobar transformation?
Are we dealing with an ideal gas? If so, we can work it out from: TdS = dU + PdV

If P is constant then:

[itex]\Delta S = \int \frac{dU}{T} + P\int \frac{dV}{T}[/itex]

If this is an ideal gas where PV = nRT, then we can substitute nRT/V for P (or nRdT/P for dV) and nCvdT for dU. Can you work that out?

AM
 
Yes, it's just so!
Thank you very much! :)
 

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