How to calculate the heat added during an isothermal process

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SUMMARY

In an isothermal process involving an ideal gas, the heat added or removed is equal to the work done on or by the gas. This is established through the first law of thermodynamics, where the change in internal energy is zero for a system returning to its initial state. The relevant equations for calculating heat in isothermal conditions do not involve temperature changes, as they do in isochoric or isobaric processes. Instead, the relationship is defined by the work done, which can be calculated using the ideal gas law.

PREREQUISITES
  • Understanding of the first law of thermodynamics
  • Familiarity with ideal gas laws
  • Knowledge of isothermal, isochoric, and isobaric processes
  • Basic calculus for understanding work done calculations
NEXT STEPS
  • Study the derivation of work done in isothermal processes using the ideal gas law
  • Explore the implications of the first law of thermodynamics in non-cyclic processes
  • Learn about the specific heat capacities, Cp and Cv, and their applications
  • Investigate real gas behavior and deviations from ideal gas assumptions
USEFUL FOR

Students of thermodynamics, physics enthusiasts, and engineers involved in heat transfer and energy systems will benefit from this discussion.

renlok
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The only ways I know of to calculate heat are dQ = Cp.dT and dQ = Cv.dT for isochoric and isobaric process how would you go about doing it for an isothermal process

Also if a system isn't a cycle but it ends up in the same state it started is its change in internal energy still 0
 
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For an isothermal process with an ideal gas, the heat added (or subtracted - depending upon exactly what happens to the gas) is equivalent to the work done on (or by) the gas.
 

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