The decomposition of acetaldehyde, CH3 CHO, was described in Problem 13.54, and the order of the

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The decomposition of acetaldehyde, CH3 CHO, was described in...

The decomposition of acetaldehyde, $\mathrm{CH}_{3} \mathrm{CHO},$ was described in Problem $13.54,$ and the order of the reaction and the rate constant for the reaction at $530^{\circ} \mathrm{C}$ were determined in Problem 13.74. If the initial concentration of acetaldehyde is $0.300 \mathrm{M}$, what will the concentration be (a) after 30 minutes, (b) after 180 minutes?

Key Concepts

Reaction Kinetics

Reaction kinetics is the study of the rates at which chemical reactions occur and the factors that influence these rates. It involves understanding how reactant concentrations, temperature, catalysts, and other conditions affect the speed of a reaction, and it uses experimentally derived rate laws to describe the quantitative relationship between these factors and the reaction rate.

Reaction Order

The reaction order indicates the power to which the concentration of a reactant is raised in the rate law and reveals how the rate is affected by changes in reactant concentration. Determining the order of a reaction is critical because it defines the form of the rate law and influences the method used to integrate the rate equation over time.

Rate Constant

The rate constant, often symbolized as k, is a proportionality factor in the rate law that quantifies the speed of a chemical reaction under given conditions. It has specific units that depend on the order of the reaction and is influenced by factors such as temperature, providing a measure of the intrinsic reactivity of a particular reaction.

Integrated Rate Law

The integrated rate law is a mathematical expression that relates the concentrations of reactants to time by integrating the differential rate law. It allows one to calculate the concentration of a reactant after a certain period given its initial concentration, the rate constant, and the reaction order, thereby connecting the kinetics of a reaction directly with time.

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