Bridgeman Table
Bridgeman Table
Bridgeman Table
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David Keffer, Department of Chemical Engineering, University of Tennessee<br />
IV. Entropy<br />
1.<br />
2.<br />
3.<br />
4.<br />
2<br />
CV<br />
⎛ ∂p<br />
⎞ ⎛ ∂P<br />
⎞<br />
( ∂p)<br />
S = −(<br />
∂S)<br />
p = − ⎜ ⎟ + ⎜ ⎟<br />
T ⎝ ∂V<br />
⎠T<br />
⎝ ∂T<br />
⎠ V<br />
⎛ ∂p<br />
⎞<br />
( ∂T)<br />
S = −(<br />
∂S)<br />
T = ⎜ ⎟<br />
⎝ ∂T<br />
⎠ V<br />
C<br />
( ∂V)<br />
( S) V<br />
S = − ∂ V = −<br />
T<br />
C<br />
( ∂U)<br />
( S) p V<br />
S = − ∂ U =<br />
T<br />
5.<br />
( ∂H)<br />
S<br />
= −(<br />
∂S)<br />
H<br />
= −<br />
V<br />
T<br />
⎡<br />
2<br />
⎛ ∂p<br />
⎞ ⎛ ∂P<br />
⎞<br />
⎤<br />
⎢CV⎜<br />
⎟ − T⎜<br />
⎟ ⎥<br />
⎢<br />
⎣<br />
⎝ ∂V<br />
⎠T<br />
⎝ ∂T<br />
⎠V<br />
⎥<br />
⎦<br />
6.<br />
7.<br />
CV<br />
⎛ ∂p<br />
⎞<br />
( ∂A)<br />
S = −(<br />
∂S)<br />
A = p − S⎜<br />
⎟<br />
T ⎝ ∂T<br />
⎠ V<br />
2<br />
V ⎡<br />
⎛ ∂p<br />
⎞ ⎛ ∂P<br />
⎞<br />
⎤<br />
⎛ ∂p<br />
⎞<br />
( ∂G)<br />
S = −(<br />
∂S)<br />
G = − ⎢CV<br />
⎜ ⎟ − T⎜<br />
⎟ ⎥ − S⎜<br />
⎟<br />
T ⎢ V T T V ⎥ ⎝ ∂T<br />
⎣<br />
⎝ ∂ ⎠ ⎝ ∂ ⎠<br />
⎦ ⎠ V<br />
4