10.37 Spring 2007 Homework 1
Due Wednesday, Feb. 14.
Problem 1. Airbags contain a mixture of NaN3, NaNO3, and SiO2. When the vehicle is in a crash, the
following reactions are initiated:
2 NaN3 2 Na + 3 N2
10 Na + 2 NaNO3 N2 + 6 Na2O
Na2O + 10 SiO2 g
10.34 Fall 2006
Homework #10 Solution
Monte Carlo Sampling within a molecular potential
The purpose of this problem was to take a representative sampling of molecular configurations at
a given temperature for the given molecular potential. Proper sampling
10.34 Fall 2006 Homework #6 Due Date: Wednesday, Oct. 18th, 2006 9 AM Run each problem using the explicit solver ode45 and a stiff implicit solver (ode23s). Compare the time-to-solution, and check whether ode45 gives accurate answers. 1) For a slightly mo
10.37 Spring 2007 Homework 1
Due noon Wednesday, Feb. 14.
Problem 1. Airbags contain a mixture of NaN3, NaNO3, and SiO2. When the vehicle is in
a crash, the following reactions are initiated:
2 NaN3 2 Na + 3 N2
10 Na + 2 NaNO3 N2 + 6 Na2O
Na2O + 10 SiO
Cite as: William Green, Jr., and K. Dane Wittrup, course materials for 10.37 Chemical and Biological Reaction Engineering,
Spring 2007. MIT OpenCourseWare (http:/ocw.mit.edu), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY].
Cite as:
Rev. 3/11/05
1.818J/2.65J/3.564J10.391J/11.371J/22.811J/ESD166J
SUSTAINABLE ENERGY
Spring 2004
MID-TERM EXAM
PROBLEM #1 (30%)
We desire to have a decommissioning fund of $500 million accumulated at the
end of the 60-year lifetime of a photovoltaic power p
10.391J/1.818J/2.65J/3.564J/11.371J/22.811J/ESD166J
SUSTAINABLE ENERGY
IAP 2007
Figure by MIT OCW.
Homework #3
Due January 23, 2007
Energy Systems Analysis
In class example problems
1. Rocky and Rochelle Jones have invented a new energy converter called M
10.37 Spring 2007
Problem Set 2 due Wednesday, Feb. 21.
Problem 1. The microorganism Mycobacterium vaccae is able to grow with ethane as the
sole source of carbon and energy and NH as the nitrogen source. The limiting substrate
3
is ethane, and Y =22.8 gr
10.37 HW 3
Spring 2007
Problem 1. A CSTR of volume 0.602 liters (constant density liquid phase) is operated in
which the following reaction occurs:
A+ BC+ D
The feed rate of A is 1.16 liters/hr of a solution at concentration 5.87 mmol/L. The feed
rate of
Solutions.
Problem 1.
a) For first-order reaction kinetics
10000 L
Da
k
0.3L / sec =0.58
XA =
=
=
1 + Da 1 + k 1 + 2.5 10-3 min 1 10000 L
0.3L / sec
2.5 10-3 min 1
b) Consider the non-steady state design equation for CSTR, where we can have
FA0 FA + rAV =
10.37 Final Exam
Spring 2007
There are 4 problems. Pick any 3 of these problems to do and turn in. (If you turn in
solutions to 4 problems, we will not count the problem where you earned the lowest
score.) Please turn in your solution for each problem sep
% Potentially useful functions for HW Set #6
% you can copy the contents of this file to your main function
%
function CMrate = Cell_Multiplication(Ncells,Nutrients,P,params)
% computes the Cell Multiplication rate (cells/s) in the CSTR
% inputs:
% Ncells
10.34 Fall 2006
Homework #5
Due Date: Wednesday, Oct. 11th, 2006 9 AM
Problem 1: Singular Value Decomposition
The composition of a mixture of chemicals is usually determined by putting the mixture
in a spectrometer or chromatograph. The signal coming out
10.302
Fall 2004
EXAMPLE PROBLEMS
Problem 1
Transdermal drug delivery devices (such as the nicotine patch) typically consist of a
reservoir of drug sealed onto the surface of a polymer membrane as shown in the figure.
The device is manufactured by injecti
10.34 Fall 2006
Homework #4
Due Date: Monday, Oct. 2nd, 2006 7 PM
(Turn in hard copies in class or at the TA help session Monday evening.)
Problem 1:
Do problem 3.A.3 in Beerss textbook.
Problem 2:
The heat capacity of many organic molecules is dominated
10.302
Fall 2004
Exam 3
Wednesday, December 1, 2004
1. (60 points)
A pure liquid is available from storage at its boiling point of 100C. The
material is to be fed to a reactor as a vapor at 200C. The heating is to be achieved by using
saturated high press
10.34 Fall 2006 Homework #3 Due Date: Wednesday, Sept. 27th, 2006 9 AM Problem 1: Peak Temperature For safety reasons, it is useful to be able to bound the peak temperature which could be realized in an exothermic reaction. An overestimate can be computed
Fall 2005 10.34 Exam II. Wed. Nov. 9, 2005
(SOLUTION)
Read through the entire exam before beginning work, and budget your time.
You are researching drug eluting stents, and wish to understand better how the drug
release rate depends upon the properties of
10.34 Fall 2006
Homework #2
Due Date: Wednesday, Sept. 20th, 2006 9 AM
Problem 1: Linear Regression
Complete problem 1.B.2 in Beers textbook (page 82). Submit a graph with the rate
data and fitted expression on the same plot, along with the values of the
NAME: _
10.302
Fall 2004
Exam 2
Wednesday, November 10, 2004
1.
(60 points) The product obtained from the bottom of a distillation column
needs, for safety reasons, to be cooled before it is sent to storage. It is
proposed that this be achieved by cooling
10.34 Fall 2006
Homework #1
Due Date: Wednesday, Sept. 13th, 2006 9 AM
Problem 1: Bessel Functions
Bessel functions are commonly encountered in heat and mass transfer problem, where the
geometry is cylindrical. Bessel functions of the first kind ( J ( x )
Fall 2005 10.34 Exam I. Friday Oct. 7, 2005.
Read through the entire exam before beginning work, and budget your time.
Perform all calculations by hand, showing all steps. You may use a calcula
tion for simple multiplication and addition of numbers, howev
10.40 Thermodynamics
Final Exam
3 hr, 9 am 12 noon
Use of Thermodynamics and Its Applications, 3rd ed. and 10.40 class notes and
handouts and a hand calculator are permitted. No other aids or documents are
permitted. Please answer each question in a separ
10.37 Exam 2
25 April, 2007
100 points
Problem 1: 35 points
A protein and ligand bind reversibly with K d = 10 nM . The association rate constant
kon = 2 x10 4 M1s-1 . The two species are mixed at an initial protein concentration of 3 nM
and an initial li
10.32
Spring 2005
EXAM 3
May 16, 2005
1. (30 points) The attached figure is a typical gas-liquid chromatogram for a feed
mixture containing four aromatic hydrocarbons, A through D. The separation was
obtained using helium as a carrier gas in a column tha
10.37 Exam 2 25 April, 2007 100 points Problem 1: 35 points A protein and ligand bind reversibly with Kd = 10 nM . The association rate constant kon= 2x104 M-1s-1. The two species are mixed at an initial protein concentration of 3 nM and an initial ligand
10.40 Fall 2003
Exam 2
9 to 11 am
Thermodynamics
Use of Thermodynamics and Its Applications, 3rd ed. and 10.40 class notes and handouts
and a hand calculator are permitted. No other aids or documents are permitted. Please
answer each question in a separat
10.40 Fall 2003
Exam 1
9 to 11 am
Thermodynamics
Use of Thermodynamics and Its Applications, 3rd ed. and 10.40 class notes and handouts
and a hand calculator are permitted. No other aids or documents are permitted. Please
answer each question in a separat
DOWNSTREAM PROCESSING
Exam #1
Open Book and Open Notes
Problem 1 (Cell Disruption)
The data given from a particle size analysis (NICOMP model 270) of yeast cells before and after
one pass through a Gaulin-type high-pressure homongenizer at 8,000 psi indic