Consider a complex reaction system: In k A -B kp „D A 1-B k.B "B-D = kpCg B•D B.U - 1/T 0.002 0.001 where A is the reactant, B is a reaction intermediate, D is the desired product, and U is the undesired product. The rate constants of the three reactions are kı, ko, and ku, respectively. The rate law for each reaction is provided above. The Arrhenius relationships for the three reactions are plotted in the above figure. (1) If the rates of the reactions (i.e., ra-¬B, re–D, and na-u) have the units of mol/(L-s), write down the units for kı, kp, and ku, respectively. (2) At a reaction temperature of 500 K, which one of the three reactions is the rate-limiting (rate- determining) reaction in terms of producing D? Explain your answer. (3) At a reaction temperature of 500 K, when Cy = 1 mol/L, which one of the two products (i.e., D vs. U) has a higher formation rate? Explain your answer.
Consider a complex reaction system: In k A -B kp „D A 1-B k.B "B-D = kpCg B•D B.U - 1/T 0.002 0.001 where A is the reactant, B is a reaction intermediate, D is the desired product, and U is the undesired product. The rate constants of the three reactions are kı, ko, and ku, respectively. The rate law for each reaction is provided above. The Arrhenius relationships for the three reactions are plotted in the above figure. (1) If the rates of the reactions (i.e., ra-¬B, re–D, and na-u) have the units of mol/(L-s), write down the units for kı, kp, and ku, respectively. (2) At a reaction temperature of 500 K, which one of the three reactions is the rate-limiting (rate- determining) reaction in terms of producing D? Explain your answer. (3) At a reaction temperature of 500 K, when Cy = 1 mol/L, which one of the two products (i.e., D vs. U) has a higher formation rate? Explain your answer.
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Transcribed Image Text:Consider a complex reaction system:
In k
A •B
kp „D
A "1-B
"B-D = kpCg
B •D
B-U
•1/T
0.002
0.001
where A is the reactant, B is a reaction intermediate, D is the desired product, and U is the undesired product.
The rate constants of the three reactions are kı, ko, and ku, respectively. The rate law for each reaction is
provided above. The Arrhenius relationships for the three reactions are plotted in the above figure.
(1) If the rates of the reactions (i.e., ra-B, rB–D, and ra-u) have the units of mol/(L-s), write down the units
for kı, kp, and ku, respectively.
(2) At a reaction temperature of 500 K, which one of the three reactions is the rate-limiting (rate-
determining) reaction in terms of producing D? Explain your answer.
(3) At a reaction temperature of 500 K, when Cg = 1 mol/L, which one of the two products (i.e., D vs. U)
has a higher formation rate? Explain your answer.
(4) At a reaction temperature of 1000 K, when CB = 1 mol/L, which one of the two products (i.e., D vs. U)
has a higher formation rate? Explain your answer.
(5) To promote the formation of D, should we use CSTR or PFR? Why? Assume that mass transfer is not
limiting.
(6) To promote the formation of D, should we operate the reaction at a higher or lower temperature? Why?
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