The reversible set of reactions represented by ki ka AB20 is carried out in a batch...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
The reversible set of reactions represented by ki ka AB20 is carried out in a batch reactor under conditions of constant volume and temperature. Only one mole of A is present initially, and any time t the moles are NA, NB, Nc. The net rate of disappearance of A is given by dNA -k|NA + K2NB dt and for B, it is dNB dt -(k2 + k3)NB + kjNA + kẠNC and for all times, the stoichiometry must be obeyed NA + NB + Nc = 1 (a) Show that the behavior of NA(t) is described by the second-order ODE d'NA + (kı + k2 + k3 + ka) dNA dr? dt + (kık3 + kzka + kıka)NA = kaka (b) One initial condition for the second-order equa- tion in part (a) is NA(0) = 1; what is the second necessary initial condition? (c) Find the complete solution for NA(1), using the conditions in part (b) to evaluate the arbitrary con- stants of integration. The reversible set of reactions represented by ki ka AB20 is carried out in a batch reactor under conditions of constant volume and temperature. Only one mole of A is present initially, and any time t the moles are NA, NB, Nc. The net rate of disappearance of A is given by dNA -k|NA + K2NB dt and for B, it is dNB dt -(k2 + k3)NB + kjNA + kẠNC and for all times, the stoichiometry must be obeyed NA + NB + Nc = 1 (a) Show that the behavior of NA(t) is described by the second-order ODE d'NA + (kı + k2 + k3 + ka) dNA dr? dt + (kık3 + kzka + kıka)NA = kaka (b) One initial condition for the second-order equa- tion in part (a) is NA(0) = 1; what is the second necessary initial condition? (c) Find the complete solution for NA(1), using the conditions in part (b) to evaluate the arbitrary con- stants of integration.
Expert Answer:
Related Book For
Applied Regression Analysis and Other Multivariable Methods
ISBN: 978-1285051086
5th edition
Authors: David G. Kleinbaum, Lawrence L. Kupper, Azhar Nizam, Eli S. Rosenberg
Posted Date:
Students also viewed these chemical engineering questions
-
The pressure in pounds per square inch was measured at various altitudes of h , in kilometers (km), above Earth's surface. The results are shown in the following table. Altitude (km) 0 10 20 30 40 50...
-
The following reaction is carried out in a 10-L aqueous solution in a stirred tank A + B --> AB At the outset of the reaction the reagents A and B are added to the reactor in equal 1-mole...
-
An isomerization reaction is carried out in a batch reactor. The reaction is first-order, both isomers are liquids with a density of 900 kg/m 3 at 163 C. The reactor is filled in 10 minutes and...
-
Suppose that triangle ABC is a right triangle with a right angle at C and hypotenuse c. Also note that a is the length of the side opposite angle A and b is the length of the side opposite angle B....
-
Show that you can take a bent bar made of an elastic, perfectly plastic material and straighten it by stretching it into the plastic range.
-
How can evil individuals such as Adolf Hitler influence followers? Explain this in terms of charisma.
-
A university pumps its water from wells located on campus. The falling water table has caused pumping costs to increase, the quantity of water available to decrease, and the quality of water to...
-
Radford Castings can produce brake shoes on six different machines. The following table summarizes the manufacturing costs associated with producing the brake shoes on each machine along with the...
-
Syarikat Penapisan Petroleum Berhad produces three joint products; Gasoline, Kerosene dan Diesel; and byproduct, i.e. Tar in the same refinery process. The split-off point incurred after the...
-
Benito Mendez opened Mendez Appraisals. He rented office space and has a part-time secretary to answer the telephone and make appraisal appointments. His chart of accounts is as follows: Mendezs...
-
Kelvin purchased a new machine for use in his business. He incurred the following costs with the purchase: $ 2 , 0 0 0 cash paid, $ 1 1 , 0 0 0 financed, a $ 4 0 0 delivery charge, and a $ 3 0 0...
-
6. The Solenoid: Figure 19.5 (a) shows a long cylinder, of length L, around which a wire carrying current I is wound N times, with n = N/L windings per unit length. This arrangement is called a...
-
A two-bar symmetric pin-connected truss shown on right is subject to a vertical load P. (a) If the load P has a normal distribution with = 10,000 lbs and = 1,000 lbs. Select the cross-sectional area...
-
How does demographic change affect economic competitiveness of a country? Explain your answers with some examples.
-
A brittle material is used as a support plate. It has a fracture toughness of 10 MPa m/2. The plate has to withstand a tensile load of 200 kN. We have three non-destructive inspection techniques at...
-
6. In order to get to New York, NY from North Pole, AK, Buddy the Elf travels for 24 hours through a displacement of 5222 km, traveling No 33 South of East. What is Buddy's average velocity? km a)...
-
Mr. Singh decided to have a barbecue to raise money for teachers at Humberside so they could have a fun staff trip. The barbecue was a success. Mr. Singh went to the bank and deposited $2,810. He...
-
a. Determine the domain and range of the following functions.b. Graph each function using a graphing utility. Be sure to experiment with the window and orientation to give the best perspective of the...
-
In 1990, Business Week magazine compiled financial data on the 1,000 companies that had the biggest impact on the U.S. economy. Data from a sample of the top 500 companies in Business Week's report...
-
Suppose that, for each of three age groups (25-34, 35-44, and 45-54), we have recorded yearly sex-specific lung cancer mortality rates for the five-year period 19! through 1994. These data are to be...
-
Researchers have studied the ecology of ponds in rural Bangladesh. Of particular interest in such studies are the zooplankton, phytoplankton, and copepod counts (per liter of water) in these ponds....
-
How many board members did Ramalinga Raju implicate in the fraud?
-
How much money did the Rajus earn from sales of Satyam stock in the eight years preceding the fraud revelation?
-
When the fraud was revealed who took control of the company?
Study smarter with the SolutionInn App