Problem Set 4: Due by Mar. 30 in class
Problem 1.
One mole of ideal gas is compressed isothermally from 1 to 5 bar at 100
°
C.
(a)
What is the Gibbs energy change,
Δ
G
?
(b)
What would have been the Gibbs energy change if the compression had been carried out at
0
°
C?
Problem 2.
In class, we derive one of the Maxwell relations. Derive all the four Maxwell relations.
(a)
P
T
T
V
P
S
⎟
⎠
⎞
⎜
⎝
⎛
∂
∂
=
⎟
⎠
⎞
⎜
⎝
⎛
∂
∂
−
(b)
V
S
S
P
V
T
⎟
⎠
⎞
⎜
⎝
⎛
∂
∂
−
=
⎟
⎠
⎞
⎜
⎝
⎛
∂
∂
(c)
P
S
S
V
P
T
⎟
⎠
⎞
⎜
⎝
⎛
∂
∂
=
⎟
⎠
⎞
⎜
⎝
⎛
∂
∂
(d)
V
T
T
P
V
S
⎟
⎠
⎞
⎜
⎝
⎛
∂
∂
=
⎟
⎠
⎞
⎜
⎝
⎛
∂
∂
Problem 3.
The Gibbs free energy of a gas is given by
2
T
c
T
b
a
T
G
+
+
=
where
a
,
b
and
c
are constants. Derive expressions for
U
,
H
,
S
and
A
of this gas.
Problem 4.
Derive an expression for the entropy change (
Δ
S
) of isothermal expansion of 1 mole of
van der Waals gas. The volume of this gas changes from V
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 Spring '08
 LIM
 Physical chemistry, Thermodynamics, Mole, pH, Entropy, Gibbs, Van der Waals

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