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3. Chain reactions involve the production of a radical species that subsequently reacts to produce another radical. This radical, in turn, reacts to produce yet

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3. Chain reactions involve the production of a radical species that subsequently reacts to produce another radical. This radical, in turn, reacts to produce yet another radical. This sequence of events, or chain reaction, continues until a reaction involving the formation of a stable species from two radicals breaks the chain. Chain reactions can occur in many chemical processes of importance to combustion. In the following, we illustrate some of the features of chain reactions by exploring a hypothetical chain mechanism, which is globally represented as A2+B22AB(likeN2+O22NO) The chain-initiation reaction is A2+Mk1A+A+M And the chain-propagating reactions involving the free radicals A and B are A+B2k2AB+BB+A2k3AB+A The chain-terminating reaction is A+B+Mk4AB+M In the early stages of reaction, the concentration of the product AB is small, as are the concentrations of A and B throughout the course of the reaction: thus, we can neglect the reverse reactions to determine the reaction rates for the stable species at this reaction stages. a) Please find the initial reaction rates of [A] and d[B2]/dt using the steadystate approximation. b) Is it reasonable if we assume (2k2k3[B2])k1k4[M]21 and why

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