1. The reversible reaction A B has the following rate equation: k2 dA dt (1) where A = A(t) and B = B(t) are, respectively, the molar concentrations of A and B. a) Use (1) and mass conservation to find a differential equation for A(t). b) Use direct integration of the equation found in (a) to find A(t) in the case that = k₂B - k₁A
1. The reversible reaction A B has the following rate equation: k2 dA dt (1) where A = A(t) and B = B(t) are, respectively, the molar concentrations of A and B. a) Use (1) and mass conservation to find a differential equation for A(t). b) Use direct integration of the equation found in (a) to find A(t) in the case that = k₂B - k₁A
Chemical Principles in the Laboratory
11th Edition
ISBN:9781305264434
Author:Emil Slowinski, Wayne C. Wolsey, Robert Rossi
Publisher:Emil Slowinski, Wayne C. Wolsey, Robert Rossi
Chapter42: Rate Studies On The Decomposition Of Aspirin
Section: Chapter Questions
Problem 1ASA
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Solve c using FOLDE (First order linear differential equation) and d
![k1
1. The reversible reaction A = B has the following rate equation:
k2
dA
k2B – kj A
(1)
dt
where A = A(t) and B
B(t) are, respectively, the molar concentrations of A and B.
a) Use (1) and mass conservation to find a differential equation for A(t).
b) Use direct integration of the equation found in (a) to find A(t) in the case that
equal amounts, xo, of A and B are mixed in a closed container.
c) Verify your solution for A(t) using the expression for the general solution of a
FOLDE.
d) What are the equilibrium concentrations A(t → x) and B(t → 0)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f6d2f58-ebc5-487b-abb4-91cd16bfc1c1%2F149d480c-7003-4899-8e1d-e26e78fc7fbb%2Ftymf4rnd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:k1
1. The reversible reaction A = B has the following rate equation:
k2
dA
k2B – kj A
(1)
dt
where A = A(t) and B
B(t) are, respectively, the molar concentrations of A and B.
a) Use (1) and mass conservation to find a differential equation for A(t).
b) Use direct integration of the equation found in (a) to find A(t) in the case that
equal amounts, xo, of A and B are mixed in a closed container.
c) Verify your solution for A(t) using the expression for the general solution of a
FOLDE.
d) What are the equilibrium concentrations A(t → x) and B(t → 0)?
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