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For a reaction A + B → Products, the rate law is — Rate = k [A][B]3/2Can the reaction be an elementary reaction? Explain

Question

For a reaction A + B → Products, the rate law is — Rate = k [A][B]^{3/2}

Can the reaction be an elementary reaction? Explain

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Solution

No, the reaction cannot be an elementary reaction. An elementary reaction is a reaction where the reactants directly become the products in a single step. The rate law for an elementary reaction is directly related to its stoichiometry. In this case, the rate law is Rate = k [A][B]^(3/2). The exponent in the rate law (3/2 for B) should be equal to the stoichiometric coefficient of the reactant in the balanced chemical equation for an elementary reaction. However, in the given reaction A + B → Products, the stoichiometric coefficients of A and B are both 1, which do not match with the exponents in the rate law. Therefore, this reaction cannot be an elementary reaction. It must involve multiple steps or some sort of reaction mechanism.

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