Bridgeman Table

David Keffer, Department of Chemical Engineering, University of Tennessee
VIII. Gibbs Free Energy
1.
2.
3.
4.
⎛ ∂p
⎞
( ∂p)
G
= −(
∂G)
p
= S⎜
⎟
⎝ ∂V
⎠
⎛ ∂p
⎞
( ∂T)
G
= −(
∂G)
T
= V⎜
⎟
⎝ ∂V
⎠
⎛ ∂p
⎞
( ∂V)
G
= −(
∂G)
V
= S − V⎜
⎟
⎝ ∂T
⎠
T
T
2
V ⎡
⎛ ∂p
⎞ ⎛ ∂P
⎞
⎤
⎛ ∂p
⎞
( ∂S)
G = −(
∂G)
S = ⎢CV⎜
⎟ − T⎜
⎟ ⎥ + S⎜
⎟
T ⎢ V T T V ⎥ ⎝ ∂T
⎣
⎝ ∂ ⎠ ⎝ ∂ ⎠
⎦ ⎠ V
V
2
⎛ ∂p
⎞ ⎛ ∂p
⎞ ⎛ ∂P
⎞
( G U
⎜ ⎟ + VCV⎜
⎟ − VT⎜
⎟
⎝ ∂T
⎠V
⎝ ∂V
⎠T
⎝ ∂T
⎠ V
5. ∂U)
= −(
∂G)
= −pS
+ [ pV + ST]
6.
7.
⎡
2
⎛ ∂P
⎞
⎤
⎢ T⎜
⎟ ⎥
⎢ ⎝ ∂T
⎠V
⎥⎛
∂p
⎞ ⎛ ∂p
⎞
( ∂H)
G = −(
∂G)
H = V
⎢
CV
− + S ⎜ ⎟ + ST⎜
⎟
⎛ ∂P
⎞ ⎥
⎝ ∂V
⎠T
⎝ ∂T
⎥
⎠
⎢ ⎜ ⎟
V
⎢ ⎝ ∂V
⎠
⎣
T ⎥
⎦
⎡ ⎛ ∂p
⎞ ⎤ ⎛ ∂p
⎞
( ∂A)
G = −(
∂G)
A = −S⎢p
+ V⎜
⎟ ⎥ + pV⎜
⎟
⎣ ⎝ ∂V
⎠T⎦
⎝ ∂T
⎠ V
8