I've been thinking in circles about the relationship between the key variables in relation to the JT Expansion Effect. I'm particularly talking about a situation where the expansion takes place across a valve. Please help clarify...
I've read almost every source but all that is defined is the Joule-Thomson coefficient which describes the dT/dP i.e., magnitude of cooling per magnitude of pressure drop. But from my understanding, the actual cooling fundamentally happens due to the expansion, particularly in the form of PV increase.
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So shouldn't there be a straightforward relationship between the magnitude of expansion (specifically magnitude of PV increase) and the magnitude of cooling?
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Very importantly related to the above question: What actually determines the magnitude of the PV increase?
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Also, dT/dp is well known to increase as temperature decreases. Again, what is the effect of temperature on PV increases?
So I guess you can say, with the JT phenomenon, I'm trying to nail down the relationship between T, P and V specifically in terms of magnitude.
Thanks so much in advance! Any help is appreciated!