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That is, r −1 ≪ r 2, so that r 1 − r 2 ≈ 0. But the overall rate of reaction is the rate of formation of final product (here CO 2), so that r = r 2 ≈ r 1. That is, the overall rate is determined by the rate of the first step, and (almost) all molecules that react at the first step continue to the fast second step.
The simplest case refers to the formation of a strictly linear polymer by the reaction (usually by condensation) of two monomers in equimolar quantities. An example is the synthesis of nylon-6,6 whose formula is [−NH−(CH 2) 6 −NH−CO−(CH 2) 4 −CO−] n from one mole of hexamethylenediamine, H 2 N(CH 2) 6 NH 2, and one mole of adipic acid, HOOC−(CH 2) 4 −COOH.
In biochemistry, a rate-limiting step is a reaction step that controls the rate of a series of biochemical reactions. [1] [2] The statement is, however, a misunderstanding of how a sequence of enzyme-catalyzed reaction steps operate. Rather than a single step controlling the rate, it has been discovered that multiple steps control the rate.
The sign function sgn(x), which is −1 for negative numbers and +1 for positive numbers, and is the simplest non-constant step function. The Heaviside function H ( x ) , which is 0 for negative numbers and 1 for positive numbers, is equivalent to the sign function, up to a shift and scale of range ( H = ( sgn + 1 ) / 2 {\displaystyle H ...
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In 1995, a key step in the "degenerate" reversible chain transfer step for chain equilibration was brought to attention. The essential feature is that the product of chain transfer is also a chain transfer agent with similar activity to the precursor transfer agent. [5]
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