CH353
Homework assignment 4 (
due Thursday March 25
)
1
(10). Three kilograms of
H
2
O at T=10
±
C are mixed with 1 kg of D
2
O at T=30
±
C and
form an ideal solution. Assuming that the C
p
value of D
2
O is the same as that of H
2
O (1
kcal kg
1
K
1
), calculate
∆
S
in this process, considering the separate steps of temperature
equilibration and isothermal mixing.
2
(10).
In the class, we have calculated the change in the entropy
∆
S of
several
compounds when they are mixed to form an ideal solution at constant P and T. Consider
n
1
moles of compound 1 forming an ideal solution with n
2
moles of compound 2. Let
0
1
v
and
0
2
v be the molar volumes of the pure compounds.
(a) What is the total volume of the mixture? Is it larger, smaller, or the same as the
total volume of the pure compounds? (Hint: use the following relationship: V = 
12
,,
Tnn
G
P
∂
∂
).
(b)
Calculate the change in the Gibbs free energy,
∆
G, upon mixing.
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 Spring '08
 LIM
 Physical chemistry, Thermodynamics, pH, 1 kg, 1 K, Ideal solution, 1 kcal, 2.25 g

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