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

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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? 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?