University of California Davis
Department of Chemical Engineering and Materials Science
ECH 143 at Hanoi University of Mining and Geology, Vietnam
Mass Transfer, October 2014
Units:
Time and Place:
In
January 24, 2012
Chapter 2
Units
Section 2.1
2-1. The following prefixes are officially approved for various multiples of ten:
10 deca D ,
100 hecto H ,
1000 kilo K
106 mega M ,
109 giga G ,
1012 tera
Ella. Ifthe ﬂat plate illustrated in Figure 3.21: has a unjfenn mm: per unit area equal to urn: the
tetal mass. ef the plate is. given by
mass = was! = WIDE-1L
Lt'the mass per unit are: is given by w{
HANOI UNIVERSITY OF MINING AND GEOLOGY
ECH 51
Material Balances
Second Practice Exam
(Closed book and closed notes, calculators allowed)
Prof. Brian G. Higgins
April 2013
Given for Exam:
Total Mass Ba
5—24. Small amounts of an inorganic salt contained in an organic ﬂuid stream can be removed by
contacting the stream with pure water as illustrated in Figure 5.24. The process requires that the
organi
5—13. A vapor mixture of benzene and toluene is slowly cooled inside a constant volume vessel.
Initially the pres sure inside the vessel is BUD mm Hg and the temperature is TD C. As the vessel is
cool
HANOI UNIVERSITY OF MINING AND GEOLOGY
ECH 51
Material Balances
Second Practice Exam
(Closed book and closed notes, calculators allowed)
Prof. Brian G. Higgins
April 2012
Given for Exam:
Total Mass Ba
UNIVERSITY OF CALIFORNIA
Department of Chemical Engineering and Materials Science
ECH 51
Material Balances
Practice Final Exam
(Closed book and notes; no questions asked or answered)
(Duration: 110 mi
HANOI UNIVERSITY OF MINING AND GEOLOGY
ECH 51
Material Balances
First Exam
Monday April 15, 9:00-10:30
(Closed book and closed notes, calculators allowed)
Prof. Brian G. Higgins
April 2012
Given for E
HANOI UNIVERSITY OF MINING AND GEOLOGY
ECH 51
Material Balances
First Exam
Monday April 15, 9:00-10:30
(Closed book and closed notes, calculators allowed)
Prof. Brian G. Higgins
April 2012
Given for
BGHiggins/ECH140Hanoi_Dec2012
Transient Heat Conduction in a Sphere
Introduction
This notebook deals with the transient heat conduction of a sphere. Mathematica is used in various parts of the analysi
7-2. In a process for the production of formaldehyde, CH 2 O , by catalytic oxidation of methanol,
CH3OH , an equimolar mixture of methanol vapor and air is sent to a reactor in which the catalyst
is
First Order ODEs
Problem_1.3
Find the general solution of the following ODE
1
Hx2 yL + y = 0
x2 x
(1)
Solution
First we rearrange the equation as follows
Hx2 yL = -x2 y
x
(2)
p
= -p
x
(3)
Then we
First Order ODE Problems
Problem_1.5
Find the general solution to the following ODE
y
+ 4 y = t2
t
(1)
Solution
Before we begin it is worthwhile to inspect the form of this equation. It is a linear
First Order ODEs
Problem_1.7
The growth of a biological population P(t) is given by the Verhulst Pearl equation
P
P
= k P J1 - N
t
P
(1)
where P is the limiting size of the population, beyond which t
HANOI UNIVERSITY OF MINING and GEOLOGY
Advanced Program in Chemical Engineering
ECH140: Mathematical Methods for Chemical Engineering
First Exam Solution
September 9, 2013 (9:00-11:00 )
(Closed book a
First Order ODEs
Problem_1.8
The radioactive decay of a substance is described by the following ODE
Y
= -kY
t
(1)
where k is the decay constant (k > 0). If the amount of material at t=0 is Y0 , deter
Second Order ODEs
Problem_2.1
Determine the general solution for the following ODE:
2 y
y
5
+ + y = 0
x2
x
4
Express your answer in terms of trigonometric functions and exponentials with real argume
Problem 1.4.1(g)
The differential equation and BCs at steady state are given by
2 u
u
= 0, u H0L = T, HLL + u HlL = 0
x2
x
The general solution (after integrating twice) is
u HxL = C1 x + C2
(1)
(2)
Problem 1.4.7(c)
At equilibrium (or equivalently at steady state), the governing equation and BCs are
d u
du
du
+ x - b = 0, H0L = 0, HLL = 0
dx
dx
dx 2
2
Integrating twice gives
x
x
u HxL = - + b +
Hanoi University of Mining and Geology
Chemical Engineering Program
ECH 140 Mathematical Methods
September 2013
Homework Assignment #4: Solution
Problem 1
Consider the following PDE
T
t
2 T
=
r2
+
1 T
Undergraduate Lectures on
ECH140: Mathema9cal Methods for Chemical Engineers
September 2- 17, 2013
Chapter 1: Lecture 2c:
Cooling of a Sphere!
Brian G. Higgins
Department of
Undergraduate Lectures on
ECH140: Mathema9cal Methods for Chemical Engineers
September 2- 17, 2013
Chapter 1: Lecture 1:
Overview!
Brian G. Higgins
Department of Chemical