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$\begingroup$ I'm afraid that doesn't address my question. I'm not asking if the assumption that $\text{ΔU}_r=\text{ΔU}_r^⦵$ can be made, I'm asking if it is being made. In the case of ideal gases, U is always independent of V, so that assumption can always be made. $\endgroup$
– theorist
Commented Jan 25, 2019 at 15:41
$\begingroup$ @theorist I looked my answer over and don't fully understand how this fails to answer your question. The comment you left promising a future answer doesn't seem to go far beyond what I have stated. $\endgroup$
– Buck Thorn ♦
Commented Jul 21, 2021 at 13:01
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$\begingroup$ An answer requires doing a derivation that formally demonstrates why the correction is negligible on a general basis, relative to other assumptions that are being made. That's what I did for my class. $\endgroup$
– theorist
Commented Jul 21, 2021 at 16:39

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