Calc based physics thermodynamics

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SUMMARY

The integral of work done in thermodynamics, represented as W = - ∫ P dv, varies based on the process path. For a constant pressure process, the boundary work is calculated as W_b = P(V_2 - V_1). The pressure function, P, is dependent on the specific thermodynamic process, which can be isobaric, isochoric, isothermal, or isentropic. These functions can be derived using the ideal gas law.

PREREQUISITES
  • Understanding of thermodynamic processes (isobaric, isochoric, isothermal, isentropic)
  • Familiarity with calculus, specifically integration techniques
  • Knowledge of the ideal gas law and its applications
  • Basic concepts of boundary work in thermodynamics
NEXT STEPS
  • Study the derivation of pressure functions for different thermodynamic processes
  • Learn how to apply the ideal gas law in various scenarios
  • Explore advanced integration techniques relevant to thermodynamic equations
  • Investigate the implications of boundary work in real-world thermodynamic systems
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Students and professionals in physics, engineering, and thermodynamics who seek to deepen their understanding of work calculations and thermodynamic processes.

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hi. i was wondering on how to do this integral. W= - integral Pdv. what is the integral of dv ?
 
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lukasz08 said:
hi. i was wondering on how to do this integral. W= - integral Pdv. what is the integral of dv ?

It depends on the process path. If you assume it is a constant pressure process, then the boundary work is just W_b = P(V_2 - V_1).

CS
 
You integrate the pressure with respect to volume. Depending on the process (isobaric, isochoric, isothermal, isentropic) this function (p = f(v)) will be different. These functions can be derived using the ideal gas law.
 

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