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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.
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 ...
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. [1]
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C ss is concentration after the steady state has been achieved. The exponential function in parentheses corresponds to the fraction of total change that has been achieved as time passes and the difference between C ss and C 0 equals the total amount of change. Finally, at steady state, the concentration is expected to equal the rate of ...
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 ...
The steady-state solution is proportional to the driving force with an induced phase change : = (+), where = + is the absolute value of the impedance or linear response function, and = + is the phase of the oscillation relative to the driving force.