Problem 1. One of the mechanisms of atom and radical recombination, called the energy transfer mechanism, is described by...

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Problem 1. One of the mechanisms of atom and radical recombination, called the energy transfer mechanism, is described by the following chemical steps: 2R-R₂ R₂2R R₂ +X-R₂ + X. where R represents a radical or an atom and X is a third body. R, represents an activated complex that is not stable and may be assumed to be in steady state (this is equivalent to saying in quasi-steady state). 1. Use the steady-state statement for R, to determine the rate of production of R, dCr/dt. In terms of rate constants and the concentrations of X and R. 2. Now, consider the limit where the concentration of X is sufficiently large such that kC>>k. Simplify the expression for dCR/dt. What is the order of the effective recombination reaction that starts with 2 R as the reactant and R₂ as the product? 3. Now, consider the limit of very low pressures such that k₂C <<k.. Simplify the rate expression for R. What is the order of the recombination reaction at conditions of very low very low pressures?

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