"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 =-kc [Fe(II)]" [Cr(VI)]" Kinetic experiments were 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 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 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 a. 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 (kcr)? Be sure to include the units.
"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 =-kc [Fe(II)]" [Cr(VI)]" Kinetic experiments were 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 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 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 a. 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 (kcr)? Be sure to include the units.
Chapter21: Transition Metals And Coordination Chemistry
Section: Chapter Questions
Problem 7RQ
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Question
!["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
=-kc [Fe(II)]" [Cr(VI)]"
Kinetic experiments were 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 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
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
a. 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 (kcr)? Be sure to include the units.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2ebe91de-3090-46ac-907f-d0393c4d1db8%2F620ca2e1-4be7-472c-b45b-1d014463b07e%2F4hyxscd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:"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
=-kc [Fe(II)]" [Cr(VI)]"
Kinetic experiments were 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 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
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
a. 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 (kcr)? Be sure to include the units.
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