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intenzxboi
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i was told that w= p dv
but how come w= pv dv in a isothermal process??
but how come w= pv dv in a isothermal process??
Why Does Work Equal ∫ p dv in an Isothermal Process?
- Thread starter intenzxboi
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- Isothermal Process Work
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SUMMARY
The work done in an isothermal process is accurately expressed as w = ∫ p dv, where p represents pressure and dv denotes the infinitesimal change in volume. The confusion arises from the misinterpretation of the equation w = p dv, which is only valid for infinitesimal changes. In an isothermal process, the relationship between pressure and volume must be integrated to account for the entire process, leading to the correct formulation of work done.
PREREQUISITES- Understanding of thermodynamic processes
- Familiarity with the ideal gas law
- Knowledge of calculus, specifically integration
- Concept of isothermal conditions in thermodynamics
- Study the derivation of the ideal gas law and its implications in thermodynamics
- Learn about the first law of thermodynamics and its application in isothermal processes
- Explore advanced integration techniques relevant to thermodynamic equations
- Investigate real-world applications of isothermal processes in engineering
Students and professionals in physics, engineering, and thermodynamics who seek to deepen their understanding of work calculations in isothermal processes.
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