Elements of Thermodynamics
Elements of Thermodynamics
Elements of Thermodynamics
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These expressions allow us to define various<br />
extrinsic and intrinsic quantities.<br />
T<br />
S<br />
P<br />
V<br />
=<br />
=<br />
⎛⎛ ∂U<br />
⎞⎞<br />
⎜⎜ ⎟⎟<br />
⎝⎝ ∂S<br />
⎠⎠V<br />
⎛⎛ ∂F<br />
⎞⎞<br />
⎜⎜ ⎟⎟<br />
⎝⎝ ∂T<br />
⎠⎠V<br />
⎛⎛ ∂U<br />
⎞⎞<br />
⎜⎜ ⎟⎟<br />
⎝⎝ ∂V<br />
⎠⎠<br />
⎛⎛ ∂H<br />
⎞⎞<br />
⎜⎜ ⎟⎟<br />
⎝⎝ ∂P<br />
⎠⎠S<br />
= −<br />
= −<br />
=<br />
S<br />
=<br />
⎛⎛<br />
⎜⎜<br />
⎝⎝<br />
= −<br />
= −<br />
⎛⎛<br />
⎜⎜<br />
⎝⎝<br />
∂H<br />
⎞⎞<br />
⎟⎟<br />
∂S<br />
⎠⎠P<br />
⎛⎛ ∂G<br />
⎞⎞<br />
⎜⎜ ⎟⎟<br />
⎝⎝ ∂T<br />
⎠⎠<br />
⎛⎛ ∂F<br />
⎞⎞<br />
⎜⎜ ⎟⎟<br />
⎝⎝ ∂V<br />
⎠⎠<br />
∂G<br />
⎞⎞<br />
⎟⎟<br />
∂P<br />
⎠⎠T<br />
P<br />
T