How can I find the adiabatic equation for real gases?

AI Thread Summary
To derive the real gas adiabatic equation, the Van der Waals equation can be a starting point, but it has limitations and may not apply universally. The discussion highlights a specific equation to solve: n Cv dT + an/V + nRT logV/ logbn = 0. The need for a detailed solution to obtain the exact equation for the adiabatic process is emphasized. Participants are encouraged to provide insights on how to manipulate this equation effectively. Understanding the behavior of real gases under various conditions is crucial for accurate modeling.
AudriusR
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Hey!
Maybe anyone knows, how to get real gas adiabatic equation. It's not a big deal, when you need to get ideal gas equation, but I haven't got any ideas about real gas. I'm wondering maybe it's something with Van der Waals equation, but in my opinion it can't be like this :

(p+a/V2)(V+b)\gamma = constant


So any ideas? It would be great, if you could show me detailed answer.
 
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I got an equation to solve for this, maybe anyone could help :

n Cv dT + an/V + nRT logV/ logbn = 0

How to get exact equation for adiabatic process from this ?
 
The van der Vaal equation does not hold for all gases or all conditions it has limits.
 
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