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The steady state approximation, [1] occasionally called the stationary-state approximation or Bodenstein's quasi-steady state approximation, involves setting the rate of change of a reaction intermediate in a reaction mechanism equal to zero so that the kinetic equations can be simplified by setting the rate of formation of the intermediate equal to the rate of its destruction.
Steady-state approximation [ edit ] G. E. Briggs and J. B. S. Haldane undertook an analysis that harmonized the approaches of Michaelis and Menten and of Van Slyke and Cullen, [ 30 ] [ 31 ] and is taken as the basic approach to enzyme kinetics today.
For the overall reaction, the rates of change of the concentration of the intermediates •CH 3 and CH 3 CO• are zero, according to the steady-state approximation, which is used to account for the rate laws of chain reactions. [6] d[•CH 3]/dt = k 1 [CH 3 CHO] – k 2 [•CH 3][CH 3 CHO] + k 3 [CH 3 CO•] - 2k 4 [•CH 3] 2 = 0
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Steady state is also used as an approximation in systems with on-going transient signals, such as audio systems, to allow simplified analysis of first order performance. Sinusoidal Steady State Analysis is a method for analyzing alternating current circuits using the same techniques as for solving DC circuits.
The rate equation for the rate of formation of product P may be obtained by using the steady-state approximation, in which the concentration of intermediate A* is assumed constant because its rates of production and consumption are (almost) equal. [8] This assumption simplifies the calculation of the rate equation.
Regardless of the approximation applied, multiple independent parameters (k 1, k −1, and k 2 in the case of steady-state; k 2 and K 1 in the case of pre-equilibrium) are required to define the system. While one could imagine constructing multiple equations to describe the unknowns at different concentrations, when the data is obtained from a ...
In his kinetic studies, [5] he used the quasi-steady state approximation to derive the rate equation of the reaction. When an overall reaction is subdivided into elementary steps, Bodenstein's quasi-steady state approximation neglects the variations in the concentrations of reaction intermediates by assuming that these will remain quasi ...