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Ch.14 - Chemical Kinetics
McMurry - Chemistry 8th Edition
McMurry8th EditionChemistryISBN: 9781292336145Non è quello che usi tu?Cambia libro di testo
Capitolo 14, Problema 46

The relative rates of the reaction A + B S AB in vessels (1)–(3) are 4:4:1. Red spheres represent A molecules, and blue spheres represent B molecules. (1)-(3) Three vessels showing red spheres for A and blue for B, with reaction rates 4:4:1.
(a) What is the order of the reaction in A and B?

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1
Identify the number of A and B molecules in each vessel. Vessel 1: 2 A and 3 B, Vessel 2: 4 A and 3 B, Vessel 3: 3 A and 2 B.
Note the given relative rates of the reaction in vessels 1, 2, and 3, which are 4:4:1.
Set up the rate law expression for the reaction: rate = k[A]^m[B]^n.
Compare the rates and concentrations between vessels to determine the reaction order. For example, compare vessels 1 and 2 to find the order with respect to A, and compare vessels 1 and 3 to find the order with respect to B.
Solve the equations derived from the comparisons to find the values of m and n, which represent the order of the reaction with respect to A and B, respectively.

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Reaction Order

The reaction order refers to the power to which the concentration of a reactant is raised in the rate law of a chemical reaction. It indicates how the rate of reaction is affected by the concentration of reactants. For example, a first-order reaction in A means that doubling the concentration of A will double the reaction rate, while a second-order reaction means that doubling A will quadruple the rate.
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Rate Law

The rate law expresses the relationship between the rate of a chemical reaction and the concentration of its reactants. It is typically written in the form Rate = k[A]^m[B]^n, where k is the rate constant, and m and n are the orders of the reaction with respect to reactants A and B, respectively. Understanding the rate law is crucial for determining how changes in concentration affect the reaction rate.
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Stoichiometry of the Reaction

Stoichiometry involves the quantitative relationships between the reactants and products in a chemical reaction. In this case, the stoichiometry of the reaction A + B → AB can help determine the relative amounts of A and B that react. The given rates of reaction in different vessels can be analyzed to infer the stoichiometric coefficients, which are essential for deducing the order of the reaction in A and B.
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