1. The reversible reaction A = B has the following rate equation: k2 dA k2B – kA (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 → ∞) and B(t → ∞)?
1. The reversible reaction A = B has the following rate equation: k2 dA k2B – kA (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 → ∞) and B(t → ∞)?
Chemistry for Engineering Students
4th Edition
ISBN:9781337398909
Author:Lawrence S. Brown, Tom Holme
Publisher:Lawrence S. Brown, Tom Holme
Chapter11: Chemical Kinetics
Section: Chapter Questions
Problem 11.41PAE: 11.41 For a drug to be effective in treating an illness, its levels in the bloodstream must be...
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Transcribed Image Text:1. The reversible reaction A = B has the following rate equation:
k2
dA
= k2B – kịA
(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 → ∞) and B(t → ∞)?
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