Exam #1 solution
1. (10) What is the first law of thermodynamics? Write down the energy balance equation for: (a)
general processes; (b) closed systems; (c) adiabatic processes; (d) simple open systems.
Answer: First law: energy conservation. Energy can b

1
University of California, Irvine
Chemical Engineering and Materials Science
Mechanical and Aerospace Engineering
CBEMS155/MAE156
Winter 2012
FAM
Due: Friday, January 20th
Problem Set 1
1. Problem 1.1 in the text. (0.367 GPa)
2. Problem 1.7 in the text (

CBEMS 45B Homework 6 ( Due 3/5/2015)
1. Write down the thermodynamic functions for natural variables: U, H, A, G, S.
2. What are the equilibrium conditions for the following cases:
a. Constant U,V,N
b. constant S, P,N
c. constant T,V,N
d. Constant T,P,N
3

HW 4 solutions
1. Steam at 500 bar and 600 is to undergo a Joule-Thomson expansion to
atmospheric pressure. What will be the temperature of the steam after the
expansion? What would be the downstream temperature if the steam were
replaced by an ideal gas?

Homework #1 (Due 1/20/2015)
1. Please give a one-sentence description of thermodynamics.
2. Describe the analogy between energy and money, heat and dollar? Why as an
engineer, you must understand how the energy/heat flow?
3. Describe the contribution of S

Homework #6
Due Thursday 3/6/2012 9:30 am
1. Derive the equilibrium condition for the simple closed thermodynamic system
interacting with its environment under the following conditions:
a. isothermal, constant-volume
b. isothermal, isobaric
c. isobaric, i

Homework 5
1. Problem 3.7. Considering the following statement: The adiabatic work necessary
to cause a given change of state in a closed system is independent of the path by
which that change occurs.
a. Is this statement true or false? Why? Does this sta

CBEMS 45B Homework 7
Due Thursday 3/15/2012 9:30 am
1. Problem 4.31 part b.
2. Problem 4.24
3. Problem 4.26
4. Draw a schematic graph of the Linde liquefaction process.
5. Draw a schematic graph of Rankine cycle for a steam power plant. Derive the
efficie

CBEMS 45B Homework 7
Due Thursday 3/15/2012 9:30 am
1. Problem 4.31 part b.
System: open, steady state.
dM
= 0 = M 1+ M 2
Mass balance:
M1 = M 2 = M
dt
dU
= 0 = M 1 H 1 + M 2 H 2 + Q+ W s
Energy balance:
dt
dS
Q
Entropy balance:
= 0 = M 1 S 1 + M 2 S 2 +

HW #2 Solution
1-11. Please find answers from your lecture notes.
12-13. Examples shown in the lecture.
14. Since for the ideal gas, enthalpy is a function of temperature only,
thus, H1(P1,T1) = H2(P2,T2) becomes H1(T1) = H2(T2),
which implies that T2=400

Homework #5 (Due 2/24/2015)
1. Using an isolated system consisting of two open subsystems as an example to
demonstrate that the internal generation rate of entropy is always positive so long
there is a temperature gradient in the system. When does the iso

45B Homework #5 Solution
For problem 1-8, please find answers in your notes.
Problem 9.
G(T,P,N), we have + +
+ 0
(1)
Because + = ( )
Then expression (1) becomes
( ) + + + 0
According to the definition of , =
So that ( ) = 0 and + + 0
(2)
At equilibriu

Homework #2 (Due 1/29/2015)
1. Please describe Gibbss contributions.
2. Write down the expression for work of a flowing fluid against pressure
3. Write down the work due to deformation of system boundary
4. What is relationship between enthalpy and intern

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Homework 3 Solutions
1. Please describe the application conditions for following energy balance
equations:
a. dU = Q PdV
-Simple system (closed system in which the only work involved is due to
expansion or compression), kinetic and potential energy are ne

HW 2 solutions
1. At high temperatures phosphine (PH3) dissociates into phosphorus and hydrogen by
the following reaction:
4 PH 3 P4 + 6 H 2
At 800 the rate at which phosphine dissociates is
dCPH 3
= 3.715 10 6 CPH 3
dt
for t in seconds. The reaction occu

Homework #6
Due Thursday 3/6/2012 9:30 am
1. Derive the equilibrium condition for the simple closed thermodynamic system
interacting with its environment under the following conditions:
a. isothermal, constant-volume
b. isothermal, isobaric
c. isobaric, i