Course Requirements
Class attendance
Active participation in class discussions
Completion of weekly HW Assignments
1 Midterm
1 Final
Short Quizzes
1-2 Short Research Projects on topics of class interest
topics will be suggested
if you wish to submit you

Course Pre-requisites
CME304 (passing grade!)
All students should have a working knowledge of:
thermodynamics units and dimensions
1st Law of thermodynamics & applications
2nd Law of thermodynamics & applications
Heat and work effects for ideal gases
Ma

CME 314 Fall 2008
Instructor: A. Tobin
Location: Humanities 3008
Days : Monday/Wednesday
Times: 10:40-12:10 pm
TA: Sisi Qin
Recitation:Thursday at 3:50-4:40 pm Humanities Rm3019
Textbook: Introduction to Chemical Engineering
Thermodynamics ;Smith, Van Nes

Ex. 6.38
Steam at 2,700 kPa and with a quality of 0.90
undergoes a reversible, adiabatic expansion in a
non-flow process to 400 kPa. It is then heated at
constant volume until it is saturated vapor.
Determine Q and W for the process.
First step: Q12=0
W12

Problem 6.67
An ice plant produces 0.5 kg/s of flake ice at 0C
from water at 20 C (T) in a continuous process.
If the latent heat of fusion of water is 333.4 kJ/kg
and if the thermodynamic efficiency of the
process is 32%, what is the power requirement of

Chapter 6
Thermodynamic Properties of Fluids
If we wish to carry out heat and work calculations from the
fluids that are used in Chemical Engineering practice, we
need to develop fundamental property relations that enable
us to appropriate thermodynamic

Applications to Real Gases
Let us consider the Van der Waals Equation of State:
P= RT/(V-b) - a/V2 where
a = .42748 R2Tc 5/2/Pc
b= .08864 RTc/Pc
V= molar volume Taking the differential of both sides
dP = RTdV/(V-b)2 + RdT/(V-b) + 2adV/V3
dP = RdT/(V-b)

Ex. 6.32
A rigid vessel contains 0.014 m3 of
saturated-vapor steam in equilibrium with
0.021 m3 of saturated-liquid water at 100C.
Heat is transferred to the vessel until on
phase just disappeared, and a single phase
remains. Which phase remains, and what

Extension to gas mixtures
Approximate results for mixtures can be obtained
with pseudo-critical parameters:
y
i
i
i
T y(6.97)
T
pc
i
i
ci
P y P
pc
i
i
ci
Hence, the pseudo-reduced parameters are
defined as:
T T / T
pr
pc
P P / P
pr
pc
Ex. 6.10.
Estimate

Entropy Balances for Open Systems
Just as energy and mass flows into a control volume can be
written, we can account for flow of entropy into and out of
the control volume
Although mass and energy balances are conserved,
entropy, in general, is not cons

Example 6.3
Calculate the enthalpy and entropy of saturated isobutane
vapor at 360K. The vapor pressure at 360K is 15.41 bar.
Set H0ig=18,115 J/mol, S0ig=295.976 J/mol K at 300K and
1bar (the ideal gas reference state).
P/bar
340K
350K
360K
370K
380K
0.0

Ex. 6.7
Superheated steam originally at P1 and T1
expands through a nozzle to an exhaust
pressure P2. Assuming the process is
reversible and adiabatic, determine the downstream state of the steam and H for the
following conditions:
(a) P1=1,000 kPa, t1=

CME314
HW#1
Spring 2009
Problem#1
An ideal gas with constant heat capacities undergoes a change in state from conditions
T1= 300K ,P1= 1.2 bar to T2= 450K,P2 = 6 bar. Determine the following property changes:
(a)
(b)
H
S
Data: Cp = (7/2)R
Problem #2
One m

Properties of Real Gases via Residual Concept
Let us suppose that we have access to the following
properties of real gases
PVT equation of State
Heat capacities of the corresponding ideal gas
Suppose that we wish to determine the thermodynamic
propert

Problem Solving Format
Write the problem as a narrative in which each step is
explained
problem should be comprehensible to a reader unfamiliar with
material
Use good quality paper (bond or legal pad)
Do not submit paper removed from spiral notebooks!
N

CME314
HW#3
Spring 2009
Question #1
10 liters of an ideal are at 0oC and 10 atm. The constant volume heat capacity of the gas was
Cv = (3/2)R. The gas was expanded to a final pressure of 1 atm.
(a) Calculate the work done and entropy change if the gas was

CME314
HW#4
Spring 2009
Question #1
(a)
Show that:
( Cp/ P)T = Cv - T( 2V/ 2P)P
(b) Evaluate the above expression for the case of an ideal gas and comment
on your result
Question #2
(a)We have shown in class that:
( U/ T)P = Cp - P ( V/ T)P
Show that this

CME314
HW#4
Spring 2009
Question #1
(a)
Show that:
( Cp/ P)T = - T( 2V/ 2P)P
(b) Evaluate the above expression for the case of an ideal gas and comment
on your result
Question #2
(a)We have shown in class that:
( U/ T)P = Cp - P ( V/ T)P
Show that this ex

CME314
HW#4
Spring 2009
Question #1
(a)
Show that:
( Cp/ P)T = - T( 2V/ 2P)P
(b) Evaluate the above expression for the case of an ideal gas and comment
on your result
Question #2
(a)We have shown in class that:
( U/ T)P = Cp - P ( V/ T)P
Show that this ex

CME314
HW#3
Spring 2009
Question #1
10 liters of an ideal are at 0oC and 10 atm. The constant volume heat capacity of the gas was
Cv = (3/2)R. The gas was expanded to a final pressure of 1 atm.
(a)Calculate the work done and entropy change if the gas was

CME314
Fall 2009
HW#5
Question #1
(a) 1 mol of methyl chloride was irreversibly and isothermally compressed from 1 bar to
55 bar at 100oC. The actual work required to perform this compression process was
measured as 15 kJ.
The PVT behavior of this fluid w

CME314
Fall 2009
HW#5
Question #1
1 mol of methyl chloride was irreversibly and isothermally compressed from 1 bar to 55
bar at 100oC. The work required for this compression process was observed as 15 kJ. The
2nd virial coefficients for this gas was measu

CME314
Fall 2009
HW#5
Question #1
1 mol of methyl chloride was irreversibly and isothermally compressed from 1 bar to 55
bar at 100oC. The work required for this compression process was observed as 15 kJ. The
2nd virial coefficients for this gas was measu

HW#6
CME314
Spring 2009
Question #1
Using the residual property concept, estimate the entropy and enthalpy changes
when 1 mol of CO2 at 325K and 60 bar was reversibly heated and compressed to 400K
and 200bar.
(b)
If 10 kJ of heat are added to the system d

HW#6
CME314
Spring 2009
Question #1
Using the residual property concept, estimate the entropy and enthalpy changes
when 1 mol of CO2 at 325K and 60 bar was reversibly heated and compressed to 400K
and 200bar.
(b)
If 10 kJ of heat are added to the system d

HW#6
CME314
Spring 2009
Question #1
Using the residual property concept, estimate the entropy and enthalpy changes
when 1 mol of CO2 at 325K and 60 bar was reversibly heated and compressed to 400K
and 200bar.
(b)
If 10 kJ of heat are added to the system d

Generalized property correlations for gases
Generalized correlation
Z= Z0 + wZ1 (See, Table E1 and E.3)
Z0 and Z1 are functions of Tr and Pr.
H R (H R )0
(H R )1 (6.85)
RTC
RTC
RTC
SR (SR )0
(SR )1 (6.86)
R
R
R
(HR)0/RTc, (HR)1/RTc, (SR)0/R, (SR)1/R are