What is the equation for adiabats in a P-V plane?

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Homework Help Overview

The discussion revolves around finding the equation for adiabats in the pressure-volume (P-V) plane, specifically in the context of thermodynamics. The original poster is trying to understand what is meant by the equation of adiabats and how it relates to the energy of a system.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between internal energy, pressure, and volume, with some suggesting to manipulate the equation for internal energy to derive the desired equation. Others question the relevance of temperature changes in an adiabatic process.

Discussion Status

The discussion is ongoing, with participants offering different perspectives on how to approach the problem. Some guidance has been provided regarding the nature of adiabatic processes, but there is no explicit consensus on the correct method or equation to use.

Contextual Notes

There is a mention of needing to understand the specific problem being addressed, indicating that additional context may be necessary for a complete analysis.

moonman
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I have in front of me an equation for energy in a system [ U=U(P,V) ]. I'm being asked to find "the equation of the adiabats in the P-V plane". What are they looking for? I know an adiabat is a system with no heat transfer, meaning that the energy of the system would equal the work done on the system. But what is this equation that they are looking for?
 
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well, I'm guessing that if you have U in terms of P, V, solve for P and substitute \Delta U =C_v \Delta T for U (first putting it in the form \Delta U)...the equation of the P,V graph? An equation for P?
 
I don't think that will help with anything. If it's an adiabatic process, deltaT will be zero.
 
no, for an adiabatic process q is zero, the work of an adiabat is equal to the change in its internal energy, the work is equal to constant volume internal energy, the equation I've shown above.

you better get studying

also post the exact problem
 

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