11) The reversible reaction AB, first order in both direction, has rate equation dx =k, (a-x)-k₂x where a is the initial concentration of A, x is the concentration of B at dt time t, k₁ is the rate constant for forward reaction and k2 is the rate constant for reverse reaction. The initial condition is x(0)=0. Solve the given differential equation.

Chemistry: The Molecular Science
5th Edition
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:John W. Moore, Conrad L. Stanitski
Chapter11: Chemical Kinetics: Rates Of Reactions
Section11.7: Reaction Mechanisms
Problem 11.12E
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11) The reversible reaction AB, first order in both direction, has rate equation
dx
=k, (a-x) - k₂x where a is the initial concentration of A, x is the concentration of B at
dt
time t, k₁ is the rate constant for forward reaction and k2 is the rate constant for reverse
reaction. The initial condition is x(0)=0. Solve the given differential equation.
Transcribed Image Text:11) The reversible reaction AB, first order in both direction, has rate equation dx =k, (a-x) - k₂x where a is the initial concentration of A, x is the concentration of B at dt time t, k₁ is the rate constant for forward reaction and k2 is the rate constant for reverse reaction. The initial condition is x(0)=0. Solve the given differential equation.
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