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A certain reaction has the general form aA rightarrow bB. At a particular temper

ID: 952563 • Letter: A

Question

A certain reaction has the general form aA rightarrow bB. At a particular temperature, and [A]_o= 2.0 times 10^-2 M, concentration versus time data were collected and a plot of ln [AJ] vs. time resulted in a straight line with a slope of -2.97 times 10^-2 min^-1. Determine the rate law, the integrated rate law, and the value of the rate constant for this reaction. (3) Calculate the half-life for this reaction. (4) How much time is required for the cone, of A to decrease to 250 times 10^-3 M? (6)

Explanation / Answer

a.

slope = -K


K = rate constant = 2.97*10^2- min-1.

it is a first order reaction
rate law,    rate = k[A]

integrated rate law [A] = [A0]*e^-kt

b. K = 0.693/t1/2

t1/2 = 0.693/0.0297 = 23.33 min

c.

k = (1/t)ln(a/x)

2.97*10^(-2) = (1/t)ln(0.02/0.0025)

t = 70.015 min

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