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Ch.15 - Chemical Kinetics
Tro - Chemistry: A Molecular Approach 5th Edition
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Tutti i libri di testoTro 5th EditionCh.15 - Chemical KineticsProblema 44
Capitolo 15, Problema 44

Consider the tabulated data showing the initial rate of a reaction (A → products) at several different concentrations of A. What is the order of the reaction? Write a rate law for the reaction including the value of the rate constant, k.

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Step 1: Understand the rate law equation. The rate law for a reaction A → products is generally expressed as rate = k[A]^n, where k is the rate constant, [A] is the concentration of reactant A, and n is the order of the reaction with respect to A.
Step 2: Analyze the data. Look at how the initial rate changes as the concentration of A changes. This will help determine the order of the reaction.
Step 3: Determine the order of the reaction. If the rate doubles when the concentration of A doubles, the reaction is first order (n=1). If the rate quadruples, the reaction is second order (n=2). If the rate remains unchanged, the reaction is zero order (n=0).
Step 4: Write the rate law. Once the order n is determined, substitute it into the rate law equation: rate = k[A]^n.
Step 5: Calculate the rate constant k. Use one set of data from the table to solve for k by substituting the known values of rate and [A] into the rate law equation.

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Reaction Order

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

Rate Law

The rate law expresses the relationship between the rate of a chemical reaction and the concentrations of its reactants. It is typically written in the form Rate = k[A]^n, where k is the rate constant, [A] is the concentration of reactant A, and n is the order of the reaction with respect to A. The rate law can be determined experimentally by analyzing how changes in concentration affect the reaction rate.
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Rate Law Fundamentals

Rate Constant (k)

The rate constant, k, is a proportionality factor in the rate law that is specific to a given reaction at a specific temperature. It reflects the speed of the reaction; a larger k indicates a faster reaction. The value of k can be determined from experimental data and is influenced by factors such as temperature and the presence of catalysts.
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Equilibrium Constant K
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