1. In aqueous solution, [Co(CN),C1]³ hydrolyses according to: [Co(CN), Cl]³¯ + H₂O → [Co(CN) (H₂O)]²¯ + CI˜¯ The reaction is subject to catalysis by H†, so that: = Rate k₁ {[Co(CN), Cl]³¯}* +k₂[H*]{[Co(CN), CI]³¯}*, in which kɩ and k₂ are rate constants for the uncatalysed and catalyzed pathways, respectively. At pH = 3.00, the two pathways contribute equally to the overall rate, and the data below obtain: 20 30 180 0.057 0.080 300 0.080 Time (min) 0 10 [Co(CN),(H2O)]² (mol/L) 0 0.027 0.045 a. Find the initial concentration of [Co(CN)5C1]³¯, and show that the data are consistent with x = = 1. b. Evaluate k₁ and k₂. c. What is the half-life of [Co(CN)5C1]³¯ at pH = 7.00?

Chemistry: Principles and Practice
3rd Edition
ISBN:9780534420123
Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Publisher:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Chapter19: Transitition Metals, Coordination Chemistry And Metallurgy
Section: Chapter Questions
Problem 19.69QE
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1. In aqueous solution, [Co(CN),C1]³ hydrolyses according to:
[Co(CN), Cl]³¯ + H₂O → [Co(CN) (H₂O)]²¯ + CI˜¯
The reaction is subject to catalysis by H†, so that:
=
Rate k₁ {[Co(CN), Cl]³¯}* +k₂[H*]{[Co(CN), CI]³¯}*,
in which kɩ and k₂ are rate constants for the uncatalysed and catalyzed pathways, respectively.
At pH = 3.00, the two pathways contribute equally to the overall rate, and the data below obtain:
20
30 180
0.057 0.080
300
0.080
Time (min)
0 10
[Co(CN),(H2O)]² (mol/L) 0 0.027 0.045
a. Find the initial concentration of [Co(CN)5C1]³¯, and show that the data are consistent with
x =
= 1.
b. Evaluate k₁ and k₂.
c. What is the half-life of [Co(CN)5C1]³¯ at pH = 7.00?
Transcribed Image Text:1. In aqueous solution, [Co(CN),C1]³ hydrolyses according to: [Co(CN), Cl]³¯ + H₂O → [Co(CN) (H₂O)]²¯ + CI˜¯ The reaction is subject to catalysis by H†, so that: = Rate k₁ {[Co(CN), Cl]³¯}* +k₂[H*]{[Co(CN), CI]³¯}*, in which kɩ and k₂ are rate constants for the uncatalysed and catalyzed pathways, respectively. At pH = 3.00, the two pathways contribute equally to the overall rate, and the data below obtain: 20 30 180 0.057 0.080 300 0.080 Time (min) 0 10 [Co(CN),(H2O)]² (mol/L) 0 0.027 0.045 a. Find the initial concentration of [Co(CN)5C1]³¯, and show that the data are consistent with x = = 1. b. Evaluate k₁ and k₂. c. What is the half-life of [Co(CN)5C1]³¯ at pH = 7.00?
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