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Chapter 13, Problem 41P
Interpretation Introduction

Interpretation:

The change in the degree of regioselectivity compared to the ratio of relative rates found in problem 44 has to be given.

Concept introduction:

Radical or free radical: unpaired valence electron of an atom, molecule, or ion is called as radical.

Chlorine radical forms a tertiary radical five times faster than a primary radical and it forms a secondary radical 3.8 times faster than a primary radical.

Relative rates of alkyl radical formation by a chlorine radical at 125 °C.

Organic Chemistry; Modified MasteringChemistry with Pearson eText -- ValuePack Access Card;  Study Guide and Student Solutions Manual for Organic Chemistry, Books a la Carte Edition (7th Edition), Chapter 13, Problem 41P

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In unpolluted air at 300 K, the hydroxyl radical OH reacts with CO with a bimolecular rate constant of 1.6 × 101' L mol-1 s-1 and with CH4 with a rate constant of 3.8 × 10° L mol¬1 s-1. Take the partial pressure of CO in air to be constant at 1.0 × 10-7 atm and that of CH4 to be 1.7 x 10-6 atm, and assume that these are the primary mecha- nisms by which OH is consumed in the atmosphere. Cal- culate the half-life of OH under these conditions.
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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.).

Chapter 13 Solutions

Organic Chemistry; Modified MasteringChemistry with Pearson eText -- ValuePack Access Card; Study Guide and Student Solutions Manual for Organic Chemistry, Books a la Carte Edition (7th Edition)

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