Elements of Thermodynamics
Elements of Thermodynamics
Elements of Thermodynamics
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dU = TdS − PdV<br />
#<br />
dU = %<br />
∂U<br />
$ ∂S<br />
& #<br />
(dS + ∂U &<br />
%<br />
' $ ∂V<br />
(dV<br />
'<br />
∂ 2 U<br />
∂S∂V = ∂2 U<br />
∂V∂S<br />
# ∂T<br />
%<br />
$ ∂V<br />
&<br />
(<br />
'<br />
S<br />
#<br />
= − ∂P &<br />
% (<br />
$ ∂S '<br />
V<br />
Similar relations using the other potentials. Try it!!!
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