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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

Chemistry
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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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)?
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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