derive integrated rate equation for first order kinetic
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rate of reaction = v = -d[A]/dt = d[B]/dt = k1[A] where k1 is the 1st-order rate constant for the forward reaction, [A] is the reactant concentration, and [B] is the product concentration. The rate of the reaction (or its velocity v) is given either by the rate of disappearance of [A] or appearance of [B].
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Explanation:
rate law rate = k rate = k[A]
units of rate constant M s−1 s−1
integrated rate law [A] = −kt + [A]0 ln[A] = −kt + ln[A]0
plot needed for linear fit of rate data [A] vs. t ln[A] vs. t
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