Chemistry
Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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Question

The data shown below are Fe(II) concentrations observed at two different depths over an incubation period.  They illustrate Fe(II) oxidation in the sediments that were incubated.

Time (d)

Fe(II) (mM) 0 cm

Fe(II) (mM) 45 cm

0.00

13.63

7.39

4.00

2.71

8.04

7.00

0.40

6.97

11.00

0.05

3.93

14.00

0.37

1.66

21.00

0.43

0.59

28.00

0.28

0.37

 

  • a) Please calculate the first-order rate constants for Fe(II) oxidation at those two depths.
  • g) please provide the half life for dissolved Fe(II).
The data shown below are Fe(II) concentrations observed at two different depths over an incubation period. They illustrate Fe(II) oxidation in the sediments that were incubated. | Time (d) | Fe(II) (mM) 0 cm | Fe(II) (mM) 45 cm | |----------|------------------|-------------------| | 0.00 | 13.63 | 7.39 | | 4.00 | 2.71 | 8.04 | | 7.00 | 0.40 | 6.97 | | 11.00 | 0.05 | 3.93 | | 14.00 | 0.37 | 1.66 | | 21.00 | 0.43 | 0.59 | | 28.00 | 0.28 | 0.37 | a) Please calculate the first-order rate constants for Fe(II) oxidation at those two depths. g) Please provide the half-life for dissolved Fe(II).
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Transcribed Image Text:The data shown below are Fe(II) concentrations observed at two different depths over an incubation period. They illustrate Fe(II) oxidation in the sediments that were incubated. | Time (d) | Fe(II) (mM) 0 cm | Fe(II) (mM) 45 cm | |----------|------------------|-------------------| | 0.00 | 13.63 | 7.39 | | 4.00 | 2.71 | 8.04 | | 7.00 | 0.40 | 6.97 | | 11.00 | 0.05 | 3.93 | | 14.00 | 0.37 | 1.66 | | 21.00 | 0.43 | 0.59 | | 28.00 | 0.28 | 0.37 | a) Please calculate the first-order rate constants for Fe(II) oxidation at those two depths. g) Please provide the half-life for dissolved Fe(II).
Expert Solution
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Step 1

NOTE : The data looks to be somewhat incorrect. The value of concentration should be decreasing with time and not increasing. But in data there are points where the concentration is increasing.

Since we know that the relationship between the concentration of reactant i.e [A] and time for a first order process is given by 

Chemistry homework question answer, step 1, image 1

where [A] = final concentration of reactant

[A]0 = initial concentration of reactant 

t = time 

K = Rate constant 

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