The following equations define the concentrations of three reactants: dc / dt = - 10 c
Question:
The following equations define the concentrations of three reactants:
dcα/dt = - 10cαcc + cb
dcb/dt = 10cαcc - cb
dcc/dt = - 10cαcc + cb – 2cc
If the initial conditions are cα = 50, cb = 0, and cc = 40, find the concentrations for the times from 0 to 3 s.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 76% (13 reviews)
The system for this problem is stiff Thus the use of a ...View the full answer
Answered By
Muhammad Haroon
More than 3 years experience in teaching undergraduate and graduate level courses which includes Object Oriented Programming, Data Structures, Algorithms, Database Systems, Theory of Automata, Theory of Computation, Database Administration, Web Technologies etc.
5.00+
3+ Reviews
10+ Question Solved
Related Book For
Numerical Methods For Engineers
ISBN: 9780071244299
5th Edition
Authors: Steven C. Chapra, Raymond P. Canale
Question Posted:
Students also viewed these Numerical Analysis questions
-
The following data are the top 50 womens times (in minutes) in the 2013 ING New York City Marathon. a. Construct a boxplot. b. What is the median? What does it mean in this situation? c. What is the...
-
The following data are the top 50 mens times (in minutes) in the 2013 ING New York City Marathon. a. Construct a boxplot. b. What is the median? What does it mean in this situation? c. What is the...
-
For what value of c does f0 c/e 0.5t dt = 1?
-
Question 4 The following is the baseline case that we have for Albion Computers in the class, where the exchange rate will remain at $/=1.60: Sales (50,000 units at 1,000/unit) Variable costs (50,000...
-
The financial statements of Reitmans (Canada) are shown in Appendix A at the end of this textbook. Instructions (a) Using vertical analysis, calculate the vertical percentage of a base amount for...
-
At the normal boiling point of a material, the liquid phase has a density of 958 kg/m3, and the vapor phase has a density of 0.598 kg/m3. The average distance between neighboring molecules in the...
-
What the differences are between federal and state court jurisdiction?
-
The following units of a particular item were available for sale during the calendar year: The firm uses the weighted average cost method with a perpetual inventory system. Determine the cost of...
-
you work for a nuclear research laboratory that is contemplating leasing a diagnostic scanner ( leasing is a very common practice with expensive, high - tech equipment ) . the scanner costs $ 4 , 0 0...
-
Cassie has just completed her first year of university (most of her classes were related to business administration) and is now making a significant career decision. Since her life savings have been...
-
A spherical ice cube (an ice sphere) that is 6 cm in diameter is removed from a 0C freezer and placed on a mesh screen at room temperature T = 20C. What will be the diameter of the ice cube as a...
-
Compound A diffuses through a 4-cm-long tube and reacts as it diffuses. The equation governing diffusion with reaction is Dd 2 A / dx 2 kA = 0 At one end of the tube, there is a large source of A at...
-
Below are income statements and balance sheets for three firms. Rank these firms on what you perceive to be the relative riskiness of their equity from these statements. What features in the...
-
Given the two-dimensional torus $T^{2}$, parameterized in terms of the two real variables $x^{1} \in[0,2 \pi)$ and $x^{2} \in[0,2 \pi)$, consider its embedding into the threedimensional Euclidean...
-
As of July 1, 2012, the mean population of the 50 states of the United States was 6.3 million, with a standard deviation of 7.0 million. Explain why these data should not be used to construct a...
-
What are the advantages of a Darlington pair configuration?
-
Consider the vector field $X=x \partial_{x}+y \partial_{y}+z \partial_{z}$, the two-form $\alpha=2 z d x \wedge d y+$ $3 y d x \wedge d z$, and the three-form $\omega=d x \wedge d y \wedge d z$ on...
-
Describe the operation of a transformer-coupled class-A common-emitter amplifier.
-
Given the transfer function \[H(z)=\frac{z\left[z-\cos \left(\omega_{0} ight) ight]}{z^{2}-2 \cos \left(\omega_{0} ight) z+1}\] (a) Where are its poles located exactly on the unit circle? (b) Using...
-
C- Consider the following scenario:- A supermarket needs to develop the following software to encourage regular customers. For this, the customer needs to supply his/her residence address, telephone...
-
Consider the one-tailed test of hypothesis, H 0 : = 100 versus H a : > 100. a. Suppose the test statistic is z = 1.44. Find the p-value of the test and the rejection region for the test when =...
-
A homeowner mows the lawn every Wednesday afternoon. Sketch a rough graph of the height of the grass as a function of time over the course of a four-week period.
-
An airplane flies from an airport and lands an hour later at another airport, 400 miles away. If t represents the time in minutes since the plane has left the terminal building, let x(t) be the...
-
The number N (in thousands) of cellular phone subscribers in Malaysia is shown in the table. (Midyear estimates are given.) (a) Use the data to sketch a rough graph of N as a function of (b) Use your...
-
Oxford Company has limited funds available for investment and must ration the funds among four competing projects. Selected information on the four projects follows: Project Investment Required...
-
Fix Manufacturing specifies the quality characteristic of one of its popular products to be 0.500" 0.020. An analysis of company records for the last two years suggests that the average cost for...
-
Houghton Chemicals, which started operations one year ago, has two divisions: Alloys and Petro. Both divisions invest heavily in R&D, which is assumed to generate benefits for five years. R&D...
Study smarter with the SolutionInn App