Consider an isothermal CSTR with volume = 1, feed concentration Caf= 1, and feed volumetric flow...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Consider an isothermal CSTR with volume = 1, feed concentration Caf= 1, and feed volumetric flow rate vo = 1 (arbitrary volume, concentration, and time units), in which the reaction A → R + S occurs. Whereas CSTRS are generally operated at steady state, this problem considers the transient start-up of the reactor. a (10 pts). Consider first-order kinetics with rate constant k- 1 and initial concentration in the reactor C4(0) =0 (units consistent with above), liquid-phase reaction. Solve for C(t) either analytically or numcrically* and plot the results. Estimate the stcady-state valuc of C, and the time at which Ca is halfway between the initial and steady-state values. b (5 pts). Repeat the exercise for an initial concentration of C4(0) = 1 and compare with the results of part a. c (10 pts). Consider second-order kinetics with rate constant k= 1 and initial concentration in the reactor C4(0) = 0, liquid-phase reaction. Solve for C4(t) either analytically or numerically* and plot the results. Estimate the steady-state value of C4 and the time at which C4 is halfway between the initial and steady-state values. Compare with the results of part a and explain the differences. d (10 pts). Consider first-order kinetics with rate constant k = 1 and initial concentration in the reactor CA(0) = 0, gas-phase reaction (ideal gas may be assumed). Solve for CA(t) either analytically or numerically* and plot the results. Estimate the steady-state value of C4 and the time at which CA is halfway between the initial and steady-state values. Compare with the results of part a and explain the differences. e (5 pts). Qualitatively, how do you expect the answers to change if the value of k is increased? Comment on both the steady-state and transient behavior. Consider an isothermal CSTR with volume = 1, feed concentration Caf= 1, and feed volumetric flow rate vo = 1 (arbitrary volume, concentration, and time units), in which the reaction A → R + S occurs. Whereas CSTRS are generally operated at steady state, this problem considers the transient start-up of the reactor. a (10 pts). Consider first-order kinetics with rate constant k- 1 and initial concentration in the reactor C4(0) =0 (units consistent with above), liquid-phase reaction. Solve for C(t) either analytically or numcrically* and plot the results. Estimate the stcady-state valuc of C, and the time at which Ca is halfway between the initial and steady-state values. b (5 pts). Repeat the exercise for an initial concentration of C4(0) = 1 and compare with the results of part a. c (10 pts). Consider second-order kinetics with rate constant k= 1 and initial concentration in the reactor C4(0) = 0, liquid-phase reaction. Solve for C4(t) either analytically or numerically* and plot the results. Estimate the steady-state value of C4 and the time at which C4 is halfway between the initial and steady-state values. Compare with the results of part a and explain the differences. d (10 pts). Consider first-order kinetics with rate constant k = 1 and initial concentration in the reactor CA(0) = 0, gas-phase reaction (ideal gas may be assumed). Solve for CA(t) either analytically or numerically* and plot the results. Estimate the steady-state value of C4 and the time at which CA is halfway between the initial and steady-state values. Compare with the results of part a and explain the differences. e (5 pts). Qualitatively, how do you expect the answers to change if the value of k is increased? Comment on both the steady-state and transient behavior.
Expert Answer:
Related Book For
Fundamentals Of Thermodynamics
ISBN: 9781118131992
8th Edition
Authors: Claus Borgnakke, Richard E. Sonntag
Posted Date:
Students also viewed these mechanical engineering questions
-
Consider a methane-oxygen fuel cell in which the reaction at the anode is CH4 + 2H2O CO2 + 8e + 8H+ The electrons produced by the reaction flow through the external load, and the positive ions...
-
Consider a methane-oxygen fuel cell in which the reaction at the anode is CH4 + 2H2O CO2 + 8e- + 8H+ The electrons produced by the reaction flow through the external load, and the positive ions...
-
Consider a methane-oxygen fuel cell in which the reaction at the anode is CH4 + 2H2O CO2 + 8e- + 8H+ The electrons produced by the reaction flow through the external load, and the positive ions...
-
rewrite/downside Integrity and credibility are the ethics of professional practice that Juan Gomez was lacking in this instance. Juan Gomez lacked integrity because he created a conflict of interest...
-
What is a close corporation?
-
The pitcher in a slow-pitch softball game releases the ball at a point 3.0 ft above ground level. A stroboscopic plot of the position of the ball is shown in Figure, where the readings are 0.25 s...
-
On 30 June 2025 the following information appeared in the accounting records of Ndung and Mkoka. Balance of Accounts Receivable Control account, \($7450\) Total of schedule of accounts receivable,...
-
During the course of the audit of Nature Sporting Goods for the year ended December 31, 2007, the auditor discovered the following: The accounts receivable confirmation work revealed one pricing...
-
17. Moment of inertia (M.I) of four bodies, having same mass and radius, and reported as: I1 = M.I. of thin circular ring about its diameter 18. 12 = M.I. of circular disc about an axis perpendicular...
-
Use Worksheet 14.1 to help Paul and Crystal Meyer, whod like to retire in about 20 years. Both have promising careers, and both make good money. As a result, theyre willing to put aside whatever is...
-
When economists speak of "demand" in a particular market, they refer to A. One price-quantity combination on the demand schedule B. One point on the demand curve C. How much of an item buyers want to...
-
Smart Company prepared its annual financial statements dated December 31 of the current year. The company applies the FIFO inventory costing method; however, the company neglected to apply the LC&NRV...
-
1. Define money. 2. Describe the work or economic functions that money performs. 3. Define barter and explain why it is economically inefficient. 4. Explain why some forms of commodity money are...
-
How to understand reinvestment risk? Why the lower the interest rates , the greater the re investment risk?
-
The displacement function for the simply supported beam of Figure TTX EI y(x, t) = csin T PALA where c = 0.003 m and t is in seconds. Determine the kinetic energy of the beam. 3.1 m y(x, t) E=200 x...
-
What have existing papers found regarding the existence of performance persistence in the hedge fund sector? How do we explain these findings in light of the Berk and Green model?
-
Find out what percent of Mr. Karim's capital would be invested in the portfolio of risky Asset, P, given the following information: Expected return of P is 20%; Standard deviation of P is 30%;...
-
The Dow Jones Industrial Average reached a high of $ 7801.63 on December 29, 1997. Recall from Example 18.4 that it reached a high of $ 1003 on November 14, 1972. The Consumer Price Index for...
-
A power plant with a thermal efficiency of 40% is located on a river similar to the setup in Fig. P5.61. With a total river mass flow rate of 2 10 5 lbm/s at 60 F, find the maximum power production...
-
If we neglect the external irreversibility due to the heat transfers over finite temperature differences in a power plant, how would you define its second-law efficiency?
-
Assume the equilibrium mole fractions of oxygen and nitrogen are close to those in air. Find the equilibrium mole fraction for NO at 5400 R, 75 psia, disregarding dissociations.
-
A proton, a deuteron (a hydrogen nucleus containing one proton and one neutron), and an alpha particle (a helium nucleus consisting of two protons and two neutrons) initially at rest are all...
-
You release three balls simultaneously from the same height above the floor. The balls all carry the same quantity of surplus positive charge, but they have different masses: \(1 \mathrm{~kg}, 2...
-
Electrostatic work \(W\) is done on a charged particle as it travels \(10 \mathrm{~mm}\) along a straight path from point A to point \(B\) in an electric field. If you return the particle to point...
Study smarter with the SolutionInn App