What is the rate-determining step of a reaction? Give an everyday analogy to illustrate the meaning of "rate determining."

Short Answer

Expert verified
The rate-determining step of a reaction is the slowest step that determines the overall reaction rate, similar to a bottleneck in the sequence. An everyday analogy would be the checkout line in a supermarket, determining how quickly you can leave the store.

Step by step solution

01

Define Rate-Determining Step

In the field of chemical kinetics, the rate-determining step (RDS) is the slowest step in a chemical reaction that determines the overall reaction rate. It's like a bottleneck in the reaction sequence where the slowest action hinders the entire process.
02

Provide an Everyday Analogy

The rate-determining step could be compared to the checkout process at a supermarket. Even if you get your shopping done quickly, the speed at which you can leave the store is determined by how quickly you can check out - if the checkout line is long and slow, that's your 'rate-determining step'. This is similar to how the rate of a chemical reaction is determined by its slowest (rate-determining) step.

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Key Concepts

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

Chemical Kinetics
Understanding the intricacies of chemical kinetics is essential for unraveling the complexities of reaction rates in chemical processes. At its core, chemical kinetics is the study of the speed at which chemical reactions occur and the factors that affect this speed. It's akin to analyzing the pace and flow of traffic on a highway, where different lanes (or reaction pathways) might have varying speeds and obstacles.

Several components come into play within chemical kinetics. The concentration of reactants, temperature, presence of catalysts, and surface area are few of the variables that can alter reaction rates. A higher concentration of reactants, for instance, can be compared to more cars on the road, which may increase the likelihood of interactions leading to reactions. Similarly, an increase in temperature can ramp up the energy of particles, just as driving speeds typically increase on a hot, open freeway, leading to more frequent collisions and reactions.
Reaction Rate
The reaction rate tells us how quickly a chemical reaction progresses over time. It is the change in the concentration of a reactant or product per unit of time, typically represented as \( \frac{[\text{concentration}]}{\text{time}} \) in our equations. Imagine pouring a colored dye into a glass of water; how swiftly the color spreads throughout the water exemplifies the idea of reaction rate.

The rate of a reaction can be affected vastly by factors such as temperature, catalysts, and concentration, similar to how outside factors can influence the speed of solving a puzzle. If the temperature is akin to having better lighting, a catalyst could represent a hint, and higher concentration might mean having more hands to help. Understanding reaction rate is crucial, as it not only affects how quickly a reaction reaches completion but also helps in designing and controlling industrial chemical processes for efficiency.
Chemical Reaction
At its very essence, a chemical reaction is a process wherein one or more substances, known as reactants, are transformed into new substances referred to as products. This metamorphosis is the core of chemistry, much like a caterpillar's transition into a butterfly. It involves breaking bonds in reactants and forming new bonds to create the products.

Types of Reactions

  • Synthesis reactions: where multiple substances combine to form a single product (like a bride and groom coming together in a marriage ceremony).
  • Decomposition reactions: where one compound breaks down into several components (similar to a band disassembling into solo artists).
  • Single-replacement reactions: where one element replaces another in a compound (akin to a player being swapped out in a sports team).
  • Double-replacement reactions: where parts of two compounds swap places (like partners in a dance exchanging partners).
Each reaction type has its peculiarities and understanding these helps in predicting the outcomes of chemical processes, just as knowing the rules of a game can help predict its results.

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Most popular questions from this chapter

Consider a car fitted with a catalytic converter. The first 5 minutes or so after it is started are the most polluting. Why?

The rate law for the decomposition of ozone to molecular oxygen \(2 \mathrm{O}_{3}(g) \longrightarrow 3 \mathrm{O}_{2}(g)\) is rate \(=k \frac{\left[\mathrm{O}_{3}\right]^{2}}{\left[\mathrm{O}_{2}\right]}\) The mechanism proposed for this process is \(\mathrm{O}_{3} \stackrel{k_{1}}{k_{-1}} \mathrm{O}+\mathrm{O}_{2}\) \(\mathrm{O}+\mathrm{O}_{3} \stackrel{k_{2}}{\longrightarrow} 2 \mathrm{O}_{2}\) Derive the rate law from these elementary steps. Clearly state the assumptions you use in the derivation. Explain why the rate decreases with increasing \(\mathrm{O}_{2}\) concentration.

The thermal decomposition of \(\mathrm{N}_{2} \mathrm{O}_{5}\) obeys firstorder kinetics. At \(45^{\circ} \mathrm{C},\) a plot of \(\ln \left[\mathrm{N}_{2} \mathrm{O}_{5}\right]\) versus \(t\) gives a slope of \(-6.18 \times 10^{-4} \mathrm{~min}^{-1} .\) What is the half-life of the reaction?

The following data were collected for the reaction between hydrogen and nitric oxide at \(700^{\circ} \mathrm{C}\) : $$ 2 \mathrm{H}_{2}(g)+2 \mathrm{NO}(g) \longrightarrow 2 \mathrm{H}_{2} \mathrm{O}(g)+\mathrm{N}_{2}(g) $$ $$ \begin{array}{clll} \hline \text { Experiment } & {\left[\mathrm{H}_{2}\right]} & {[\mathrm{NO}]} & \text { Initial Rate }(M / \mathrm{s}) \\ \hline 1 & 0.010 & 0.025 & 2.4 \times 10^{-6} \\ 2 & 0.0050 & 0.025 & 1.2 \times 10^{-6} \\ 3 & 0.010 & 0.0125 & 0.60 \times 10^{-6} \\ \hline \end{array} $$ (a) Determine the order of the reaction. (b) Calculate the rate constant. (c) Suggest a plausible mechanism that is consistent with the rate law. (Hint: Assume that the oxygen atom is the intermediate.)

Define half-life. Write the equation relating the halflife of a first-order reaction to the rate constant.

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