Chapter 15: Problem 2
Why are reaction rates important (both practically and theoretically)?
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Chapter 15: Problem 2
Why are reaction rates important (both practically and theoretically)?
These are the key concepts you need to understand to accurately answer the question.
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Get started for freeUsing the idea that reactions occur as a result of collisions between particles, explain why reaction rates depend on the concentration of the reactants.
The previous exercise shows how the first-order integrated rate law is derived from the first-order differential rate law. Begin with the sec- ond-order differential rate law and derive the second-order integrated rate law.
In this chapter we have seen a number of reactions in which a single reactant forms products. For example, consider the following first- order reaction: $$\mathrm{CH}_{3} \mathrm{NC}(g) \longrightarrow \mathrm{CH}_{3} \mathrm{CN}(g)$$ However, we also learned that gas-phase reactions occur through collisions. \begin{equation} \begin{array}{l}{\text { a. One possible explanation is that two molecules of } \mathrm{CH}_{3} \mathrm{NC} \text { collide }} \\ {\text { with each other and form two molecules of the product in a single ele- }} \\ {\text { mentary step. If that is the case, what reaction order would you expect? }}\\\\{\text { b. Another possibility is that the reaction occurs through more than }} \\\ {\text { one step. For example, a possible mechanism involves one step in }} \\\ {\text { which the two CH}_{3} \mathrm{NC} \text { molecules collide, resulting in the activation" }} \\ {\text { of one of them. In a second step, the activated molecule goes on to }}\\\\{l}{\text { form the product. Write down this mechanism and determine which }} \\ {\text { step must be rate determining in order for the kinetics of the reaction }} \\ {\text { to be first order. Show explicitly how the mechanism predicts first- }} \\ {\text { order kinetics. }}\end{array} \end{equation}
Indicate the order of reaction consistent with each observation. \begin{equation} \begin{array}{l}{\text { a. A plot of the concentration of the reactant versus time yields a }} \\ {\text { straight line. }} \\ {\text { b. The reaction has a half-life that is independent of initial }} \\ {\text { c. A plot of the inverse of the concentration versus time yiclds a }} \\ {\text { straight line. }}\end{array} \end{equation}
Explain the difference between a normal chemical equation for a chemical reaction and the mechanism of that reaction.
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