5. For the chlorination of ethane, represented by the equation: CH;CH3 + Cl2 + hv→ CH;CH2CI + HCI, the following radical-mediated mechanism has been proposed: Cl2 2 Cl· + Cl· k1, k.1 CH4 + CI· → CH3• + HCI k2 CH3* + Cl2 → CH3CI + Cl· CH3' + Cl· 2 CH3CI k3 ka, k.4 Additionally, it has been possible to establish, under certain experimental conditions, that the reaction is first order with respect to the methane, and three halves with respect to chlorine. a) Classify the different steps of this mechanism (i.e. initiation, propagation, etc.). b) Derive the rate law for the chlorination of ethane, based on the mechanism proposed. c) Identify which is the rate-determining step. Justify your selection.

5. For the chlorination of ethane, represented by the equation: CH;CH3 + Cl2 + hv→ CH;CH2CI + HCI, the following radical-mediated mechanism has been proposed: Cl2 2 Cl· + Cl· k1, k.1 CH4 + CI· → CH3• + HCI k2 CH3* + Cl2 → CH3CI + Cl· CH3' + Cl· 2 CH3CI k3 ka, k.4 Additionally, it has been possible to establish, under certain experimental conditions, that the reaction is first order with respect to the methane, and three halves with respect to chlorine. a) Classify the different steps of this mechanism (i.e. initiation, propagation, etc.). b) Derive the rate law for the chlorination of ethane, based on the mechanism proposed. c) Identify which is the rate-determining step. Justify your selection.

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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Question

5. For the chlorination of ethane, represented by the equation: CH3CH3 + Cl2 + hv→ CH3CH2CI + HCI, the following
radical-mediated mechanism has been proposed:
Cl2 2 Cl· + CI -
CH4 + Cl. → CH3· + HCI
CH3: + Cl2 → CH3CI + Cl·
k1, k.1
k2
k3
CH3* + Cl· 2CH3CI
ka, k.4
Additionally, it has been possible to establish, under certain experimental conditions, that the reaction is first
order with respect to the methane, and three halves with respect to chlorine.
a) Classify the different steps of this mechanism (i.e. initiation, propagation, etc.).
b) Derive the rate law for the chlorination of ethane, based on the mechanism proposed.
c) Identify which is the rate-determining step. Justify your selection.
d) Indicate which are the assumptions and approximations you used so that this model could work (i.e. pre-
equilibrium condition, steady state approximation, neglecting the contribution of a step, etc.).

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