The integrated rate laws for zero-, first-, and second-order reaction may be arr

Question

The integrated rate laws for zero-, first-, and second-order reaction may be arranged such that they resemble the equation for a straight line,y=mx+b. Order Integrated Rate Law Graph Slope 0 [A]=kt+[A]0 [A] vs. t k 1 ln[A]=kt+ln[A]0 ln[A] vs. t k 2 1[A]= kt+1[A]0 1[A] vs. t k The reactant concentration in a zero-order reaction was 9.00×102 M after 100 s and 4.00×102 M after 375 s . What is the rate constant for this reaction? Express your answer with the appropriate units. Indicate the multiplication of units, as necessary, explicitly either with a multiplication dot or a dash.

Explanation / Answer

[A]=kt+[A]0

0.09= -k*100 + [A]0 1

0.04 = -k*375 + [A]0 2

on subtracting 1-2

0.05 = 275*k

k = 0.05/275 = 1.818 *10^-4 M/s

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