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Determining the order and rate constant of an irreversible first-order reaction

Description
Graphs (a) and (b) analyze the rate of a single reaction, with time expressed as multiples of the half-life (t1/2) of the reactant. Note that for each interval of t1/2 the reactant concentration is halved.

a. A graph of [A] versus t shows that the rate, defined as the slope of the curve, decreases as the reaction continues.

b.  A graph of ln[A] versus t, when linear, indicates that the reaction follows the equation [A]t = [A]oe-kt and is first-order. The slope of this line (d ln[A]/dt) is equal to -k1.
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