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Give two reasons to measure initial rates in a kinetics study.

Short Answer

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1. Avoids complications from product accumulation.2. Determines reaction order with respect to reactants accurately.

Step by step solution

01

- Understand Initial Rates

Initial rates refer to the reaction rates measured at the very beginning of a reaction, where the concentrations of reactants have not significantly changed.
02

- Reason 1: Avoiding Complications

Measuring initial rates helps avoid complications that arise from product accumulation and possible reverse reactions, ensuring a more straightforward interpretation of the reaction kinetics.
03

- Reason 2: Determining Reaction Order

Initial rates allow for the determination of the reaction order with respect to each reactant, as they provide a clear relationship between reactant concentration and rate without interference from changing conditions or side reactions.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Reaction Kinetics
Reaction kinetics is the study of how fast chemical reactions occur and the various factors that influence these rates. It provides crucial insights into the mechanisms of reactions, helping chemists understand the step-by-step process that leads to products. At the heart of this study are reaction rates, which are measured as the change in concentration of reactants or products per unit time. By analyzing these rates, scientists can deduce important information about the energy barriers and molecular steps involved.
Factors influencing reaction rates include:
  • Concentration of reactants
  • Temperature
  • Presence of catalysts
  • Surface area of solid reactants
Understanding these factors allows chemists to control and optimize reactions, making reaction kinetics a fundamental area of study in chemistry.
Initial Reaction Rates
Initial reaction rates refer to the rates measured at the beginning of a reaction, generally just after the reactants are mixed. This early phase is critical because it provides a simplified view of the reaction without the complications that arise later.
Measuring initial reaction rates has several advantages:
  • It avoids complications from product accumulation, which can sometimes interfere with accurate measurements.
  • There is less chance for reverse reactions to occur, ensuring that the data reflects only the forward reaction.
  • Concentration changes are minimal, so the rate reflects the initial concentrations of the reactants more accurately.
Because of these reasons, initial rates are often used to simplify the study of reaction kinetics and to obtain clearer data.
Reaction Order Determination
Determining the reaction order is a crucial part of studying reaction kinetics. The reaction order with respect to a reactant is an exponent to which its concentration term in the rate equation is raised. It provides insight into how changes in concentration affect the rate of reaction.
Using initial rates to determine reaction order involves:
  • Measuring the initial rate of reaction at different concentrations of the reactants.
  • Analyzing how the rate changes as the concentration of each reactant is varied.
  • Using this data to deduce the reaction order for each reactant via mathematical relationships.
For example, if doubling the concentration of a reactant doubles the rate, the reaction is first-order with respect to that reactant. If it quadruples the rate, the reaction is second-order. Knowing the reaction order helps chemists to write the rate law and understand the mechanisms behind the reaction.

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Most popular questions from this chapter

The mathematics of the first-order rate law can be applied to any situation in which a quantity decreases by a constant fraction per unit of time (or unit of any other variable). (a) As light moves through a solution, its intensity decreases per unit distance traveled in the solution. Show that \(\ln \left(\frac{\text { intensity of light leaving the solution }}{\text { intensity of light entering the solution }}\right)\) \(=-\) fraction of light removed per unit of length \(\times\) distance traveled in solution (b) The value of your savings declines under conditions of constant inflation. Show that \(\ln \left(\frac{\text { value remaining }}{\text { initial value }}\right)\) \(=-\) fraction lost per unit of time \(\times\) savings time interval

Acetone is one of the most important solvents in organic chemistry, used to dissolve everything from fats and waxes to airplane glue and nail polish. At high temperatures, it decomposes in a first-order process to methane and ketene \(\left(\mathrm{CH}_{2}=\mathrm{C}=\mathrm{O}\right) .\) At \(600^{\circ} \mathrm{C},\) the rate constant is \(8.7 \times 10^{-3} \mathrm{~s}^{-1}\). (a) What is the half-life of the reaction? (b) How long does it take for \(40 . \%\) of a sample of acetone to decompose? (c) How long does it take for \(90 . \%\) of a sample of acetone to decompose?

16.89 A slightly bruised apple will rot extensively in about 4 days at room temperature \(\left(20^{\circ} \mathrm{C}\right)\). If it is kept in the refrigerator at \(0^{\circ} \mathrm{C}\), the same extent of rotting takes about 16 days. What is the activation energy for the rotting reaction?

For the reaction \(\mathrm{A}(g)+\mathrm{B}(g) \longrightarrow \mathrm{AB}(g),\) the rate is \(0.20 \mathrm{~mol} / \mathrm{L} \cdot \mathrm{s},\) when \([\mathrm{A}]_{0}=[\mathrm{B}]_{0}=1.0 \mathrm{~mol} / \mathrm{L}\). If the reaction is first order in \(\mathrm{B}\) and second order in \(\mathrm{A}\), what is the rate when \([\mathrm{A}]_{0}=\) \(2.0 \mathrm{~mol} / \mathrm{L}\) and \([\mathrm{B}]_{0}=3.0 \mathrm{~mol} / \mathrm{L} ?\)

In a classroom demonstration, hydrogen gas and oxygen gas are mixed in a balloon. The mixture is stable under normal conditions, but, if a spark is applied to it or some powdered metal is added, the mixture explodes. (a) Is the spark acting as a catalyst? Explain. (b) Is the metal acting as a catalyst? Explain.

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