2.Rate expressions, rate order and rate constant. "Reduction of Cr(VI) to Cr(III) is environmentally favorable as the latter species is not toxic to most living organisms and also has a low mobility and bioavailability." (Fendorf, S.E.; Li, G., 1996). These authors studied the rate of the conversion of Cr(VI) to Cr(III) by an overall reaction that can be approximated as: The rate law is hypothesized to have the general form: d[Cr(VI)] dt Cr(VI) + 3Fe(II) + Cr(III) + 3Fe(III) 2.00E-01 5.00E-01 A series of experiments was performed at varying initial concentrations of Fe(II) and Cr(VI). In each experiment the conversion of Cr(VI) to Cr(III) was monitored as a function of time and the initial reaction rate (before either reactant was significantly depleted) was obtained from the slope of the Cr(VI) vs. time plot. Table 2 summarizes the results for experiments performed at pH=6.67. Table 2. Initial reaction rates for conversion of Cr(VI) to Cr(III) by reaction with Fe(II) Cr(VI) (mm) 1.00E-02 5.00E-02 1.00E-01 1.00E-01 1.00E-01 1.00E-01 1.00E-01 1.00E-01 1.00E-01 ==-ko[Fe(II)][Cr(VI) Fe(II) (mm) 1.00E-01 1.00E-01 1.00E-01 1.00E-01 1.00E-01 1.00E-02 5.00E-02 1.00E-01 2.00E-01 5.00E-01 1.00E+00 - Initial Rate (mm/min) 4.68E-02 4.96E-01 1.11E+00 2.68E+00 3.73E+00 2.62E-01 7.59E-01 1.29E+00 1.47E+00 3.79E+00 4.17E+00
2.Rate expressions, rate order and rate constant. "Reduction of Cr(VI) to Cr(III) is environmentally favorable as the latter species is not toxic to most living organisms and also has a low mobility and bioavailability." (Fendorf, S.E.; Li, G., 1996). These authors studied the rate of the conversion of Cr(VI) to Cr(III) by an overall reaction that can be approximated as: The rate law is hypothesized to have the general form: d[Cr(VI)] dt Cr(VI) + 3Fe(II) + Cr(III) + 3Fe(III) 2.00E-01 5.00E-01 A series of experiments was performed at varying initial concentrations of Fe(II) and Cr(VI). In each experiment the conversion of Cr(VI) to Cr(III) was monitored as a function of time and the initial reaction rate (before either reactant was significantly depleted) was obtained from the slope of the Cr(VI) vs. time plot. Table 2 summarizes the results for experiments performed at pH=6.67. Table 2. Initial reaction rates for conversion of Cr(VI) to Cr(III) by reaction with Fe(II) Cr(VI) (mm) 1.00E-02 5.00E-02 1.00E-01 1.00E-01 1.00E-01 1.00E-01 1.00E-01 1.00E-01 1.00E-01 ==-ko[Fe(II)][Cr(VI) Fe(II) (mm) 1.00E-01 1.00E-01 1.00E-01 1.00E-01 1.00E-01 1.00E-02 5.00E-02 1.00E-01 2.00E-01 5.00E-01 1.00E+00 - Initial Rate (mm/min) 4.68E-02 4.96E-01 1.11E+00 2.68E+00 3.73E+00 2.62E-01 7.59E-01 1.29E+00 1.47E+00 3.79E+00 4.17E+00
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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![2. Rate expressions, rate order and rate constant. "Reduction of Cr(VI) to Cr(III) is environmentally
favorable as the latter species is not toxic to most living organisms and also has a low mobility and
bioavailability." (Fendorf, S.E.; Li, G., 1996). These authors studied the rate of the conversion of Cr(VI) to
Cr(III) by an overall reaction that can be approximated as:
Cr(VI) + 3Fe(II) ⇒ Cr(III) + 3Fe(III)
The rate law is hypothesized to have the general form:
d[Cr(VI)]
dt
=-ko[Fe(II)]" [Cr(VI)]"
A series of experiments was performed at varying initial concentrations of Fe(II) and Cr(VI). In each
experiment the conversion of Cr(VI) to Cr(III) was monitored as a function of time and the initial reaction
rate (before either reactant was significantly depleted) was obtained from the slope of the Cr(VI) vs. time
plot. Table 2 summarizes the results for experiments performed at pH=6.67.
Table 2. Initial reaction rates for conversion of Cr(VI) to Cr(III) by reaction with Fe(II)
Cr(VI) (mm)
1.00E-02
5.00E-02
1.00E-01
2.00E-01
5.00E-01
1.00E-01
1.00E-01
1.00E-01
1.00E-01
1.00E-01
1.00E-01
a.
Fe(II) (mm)
1.00E-01
1.00E-01
1.00E-01
1.00E-01
1.00E-01
1.00E-02
5.00E-02
1.00E-01
2.00E-01
5.00E-01
1.00E+00
- Initial Rate (mm/min)
4.68E-02
4.96E-01
1.11E+00
2.68E+00
3.73E+00
2.62E-01
7.59E-01
1.29E+00
1.47E+00
3.79E+00
4.17E+00
What is the order of the reaction (n) with respect to Cr(VI)?
b. What is the order of the reaction (m) with respect to Fe(II)?
C. What is the overall rate constant for the reaction (kc.)? Be sure to include the units.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F216015d9-daff-4e98-b3d1-7f3f5202e820%2F2035622a-de7c-4548-ad53-d640cd7f7236%2Fb2qkf5m_processed.png&w=3840&q=75)
Transcribed Image Text:2. Rate expressions, rate order and rate constant. "Reduction of Cr(VI) to Cr(III) is environmentally
favorable as the latter species is not toxic to most living organisms and also has a low mobility and
bioavailability." (Fendorf, S.E.; Li, G., 1996). These authors studied the rate of the conversion of Cr(VI) to
Cr(III) by an overall reaction that can be approximated as:
Cr(VI) + 3Fe(II) ⇒ Cr(III) + 3Fe(III)
The rate law is hypothesized to have the general form:
d[Cr(VI)]
dt
=-ko[Fe(II)]" [Cr(VI)]"
A series of experiments was performed at varying initial concentrations of Fe(II) and Cr(VI). In each
experiment the conversion of Cr(VI) to Cr(III) was monitored as a function of time and the initial reaction
rate (before either reactant was significantly depleted) was obtained from the slope of the Cr(VI) vs. time
plot. Table 2 summarizes the results for experiments performed at pH=6.67.
Table 2. Initial reaction rates for conversion of Cr(VI) to Cr(III) by reaction with Fe(II)
Cr(VI) (mm)
1.00E-02
5.00E-02
1.00E-01
2.00E-01
5.00E-01
1.00E-01
1.00E-01
1.00E-01
1.00E-01
1.00E-01
1.00E-01
a.
Fe(II) (mm)
1.00E-01
1.00E-01
1.00E-01
1.00E-01
1.00E-01
1.00E-02
5.00E-02
1.00E-01
2.00E-01
5.00E-01
1.00E+00
- Initial Rate (mm/min)
4.68E-02
4.96E-01
1.11E+00
2.68E+00
3.73E+00
2.62E-01
7.59E-01
1.29E+00
1.47E+00
3.79E+00
4.17E+00
What is the order of the reaction (n) with respect to Cr(VI)?
b. What is the order of the reaction (m) with respect to Fe(II)?
C. What is the overall rate constant for the reaction (kc.)? Be sure to include the units.
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