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(a) Plot the concentrations listed below as a function of time. Then, plot any other graphs...

  1. (a) Plot the concentrations listed below as a function of time. Then, plot any other graphs required to verify that the data is consistent with a first-order reaction.

time

concentration

(in minutes)

(in moles / liter)

0.00

1.0000

1.00

0.8607

2.00

0.7408

3.00

0.6376

4.00

0.5488

5.00

0.4724

6.00

0.4066

7.00

0.3499

8.00

0.3012

9.00

0.2592

10.00

0.2331

(b) Determine the value of the rate constant k. Write an expression for the rate law.

(c) Determine the time at which the concentration of [A] = 0.500 mol / L. Determine the time at which [A] = 0.250 mol / L. Determine the time at which [A] = 0.125 mol / L.

(d) The half-life for a reaction is the time required for the concentration at some time to decrease by a factor of one-half. The half-life for a first-order reaction is constant, and can be calculated from the value of k. The relationship is t(1/2) = (0.693 / k). Calculate the half-life from the value of k that you determined in (b) above. Can you see that this value is related to the times that you calculated in part (c) above? Explain.

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