CBE 102B
Problem Set 5
[ABET]
Due: Wednesday, May 29, 2013
This problem is associated with the preparation of high-quality phase coexistence plots for a
fluid that obeys the van der Waals equation of state. A program such as excel is required. The
differe

CBE 102B Problem Set 4 Due: Friday, May 17 2013
l. (15 pts.) A system contains C, C0, C02, H2, and H20 in chemical equilibrium. Find the
number of independent reactions, R, and suggest stoichiometric coefcients V}.
2. (15 pts.) According to the Debye

PP11
CBE 102B
Practice Problems 11
Do Not Submit
The colligative molality in a typical biological cell is mB = 0.3 mole/kg H 2 O .
Estimate the osmotic pressure in a biological cell at T = 37 o C . The density of water at
T = 37 o C is = 0.9933 g/cm3 .
1.

PP12
CBE 102B
Practice Problems 12
Do Not Submit
Let A=chloroform and B=ethanol. At T = 35 o C , the vapor pressures of the pure
liquids are p = 295.1 torr and pB = 102.8 torr . The vapor pressure of a liquid solution
A
of chloroform and ethanol with xB =

PP13
CBE 102B
Practice Problems 13
Do Not Submit
For the reaction Fe3O 4 (s) + CO(g)
3 FeO(s) + CO 2 (g) K a = 1.15 at
o
T = 600 C . The initial numbers of moles are:
n(Fe3O 4 ) = 2 n(CO) = 3 n(FeO) = 4 n(CO 2 ) = 5 .
Find the number of moles at equilibri

PP2
CBE 102B
1.
Do Not Submit
Practice Problems 2
Consider the function z = z ( x, y ) . The differential of z is given by
z
z
dz = dx + dy = f ( x, y )dx + g ( x, y ) dy .
x y
y x
Show that
( z, w )
( , )
=f
( x, w )
( , )
+g
( y, w )
( , )
w

PP3
CBE 102B
Do Not Submit
Practice Problems 3
1.
The thermal expansion coefficient of a condensed phase is usually expressed as a power
series in temperature:
p =
1 Vm
= 0 + 1T + 2 T 2 +
Vm T p
Show that the molar volume can be expressed as a function o

PP4
CBE 102B
Practice Problems 4
Do Not Submit
One mole of an ideal gas with constant heat capacities undergoes an adiabatic and reversible
process. This process can be described by the following equations:
pVmx = const.
T Vmy = const.
T p z = const. Find

CBE 102B
Problem Set 2
Due: Monday, April 23, 2012
1. (35 pts.)
For a closed system (n=fixed) use the differential expressions for Um, Hm, Am, and
Gm, Maxwell relations, and derivative reduction calculus, to prove the following relations:
U
(a) m = C pm

PP1
CBE 102B
Practice Problems 1
Do Not Submit
A generalized homogeneous function has the following property:
1.
(
)
f p1 x1 , p2 x2 , , pn xn = m f ( x1 , x2 , , xn )
Show that Eulers theorem is
n
p
j =1
j
xj
f
= m f ( x1 , x2 , , xn ) .
x j
One mole of

PP5
CBE 102B
Do Not Submit
Practice Problems 5
Consider the functions H, A, G, J, and Y of a pure-component system. Derive the Euler
form of these functions. Using the Euler form of U ( U = T S p V + n ), show that the Euler
form of these functions is con

PP6
CBE 102B
Practice Problems 6
Do Not Submit
For the ideal-gas reaction 2 A(g) + B(g)
C(g) + D(g) , K p = 6.51 at
T = 800 K . The initial mixture contains 3 moles of A, 1 mole of B, and 4 moles of C in a
container of volume V = 8000 cm3 . Find the mixtu

CBE 102B
Problem Set 4
[ABET]
Due: Monday, May 7, 2012
1. (20 pts.) Consider the ideal gas reaction: H 2 (g) + CO 2 (g)
CO(g) + H 2 O(g) . At
1000 K, a measurement gives the following values for the partial pressures:
p ( H 2 ) = 0.55 bar , p ( CO2 ) = 0.

PP1
CBE 102B
Do Not Submit
Practice Problems 1
Consider the functions z = z ( x, y ) , = ( x, y ) , and = ( x, y ) . Prove the following
relations:
1.
Chain Rule:
z y
z
z x
= x + y
y x
Inversion Rule:
1
y
=
x z ( x y ) z
1 Product Rule:
x y

PP2
CBE 102B
Practice Problems 2
Do Not Submit
One mole of an ideal gas with CVm = 3R/2 at 300 K and 10 bar expands adiabatically to 1
bar against a constant external pressure of 1 bar. Find the final temperature of the gas, T2, and
W, Q, U, H, S. Is the

CBE 102B
Problem Set 1
[ABET]
Due: Wednesday, April 17, 2013
1. (25 pts.)
Consider a fluid that obeys the van der Waals equation of state
RT
1
a 2 ,
Vm b
Vm
where Vm is the molar volume. For this fluid, U m , CVm , H m , S m , Am and Gm can be expressed
i

CBE 102B
Problem Set 2
[ABET]
Due: Friday, April 26, 2013
This problem set is associated with the preparation of a high-quality Joule-Thomson Tr pr
graph for a fluid that obeys the van der Waals equation of state
RT
1
p=
a 2 , Vm > b .
Vm b
Vm
Using the

PP3
CBE 102B
Do Not Submit
Practice Problems 3
1.
The thermal expansion coefficient of a condensed phase is usually expressed as a power
series in temperature:
p =
1 Vm
= 0 + 1T + 2 T 2 +
Vm T p
Show that the molar volume can be expressed as a function o

PP4
CBE 102B
Practice Problems 4
Do Not Submit
One mole of an ideal gas with constant heat capacities undergoes an adiabatic and reversible
process. This process can be described by the following equations:
pVmx = const.
T Vmy = const.
T p z = const. Find

PP5
CBE 102B
Do Not Submit
Practice Problems 5
Consider the functions H, A, G, J, and Y of a pure-component system. Derive the Euler
form of these functions. Using the Euler form of U ( U = T S p V + n ), show that the Euler
form of these functions is con

CBE 102B
Problem Set 4
Due: Friday, May 17 2013
1. (15 pts.)
A system contains C, CO, CO2, H2, and H2O in chemical equilibrium. Find the
number of independent reactions, R, and suggest stoichiometric coefficients j.
2. (15 pts.)
C pm
According to the Deby

CBE 102B
Problem Set 3
[ABET]
Due: Friday, May 3, 2013
1. (20 pts.) Use data from the JANAF tables to find HTo and UTo at 298.15 K for the
following reactions:
CH 4 (g) + H 2 O(g)
4 NH 3 (g) + 6 NO(g)
Fe 2 O3 (s) + 2Al(s)
CH 3OH(g) + CO(g)
2 NO(g) + O 2 (