Using Thermodynamic Relationships

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The key to solving many thermodynamics problems is being able to identify which thermodynamic derivative is needed.
  1. Physical Chemistry
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gelomelo
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What would the integral be if we were extra careful and didn't assume V and α were constant

Flaystray
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I like how integrals and partial derivatives can look kinda scary but in practicee they are simple, but as a mathematical concept they are really useful anyways

strayorion
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I have a concern about the example from the definition of the thermal expansion coefficient,
As we are measuring the volume w.r.t the temperature V=V(T). So isn't it better to take the V to the dV side
when we are differentiating. Then a logarithmic term appears in the relationship also and we do not have to assume that the change in V is negligible w.r.t T.

PhotonicsGuy-iw