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

Short Answer

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The rate-determining step is the slowest step of a reaction, limiting the overall rate.

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01

Understanding the Reaction Steps

In a multi-step chemical reaction, several individual steps occur in sequence to convert reactants into products. These steps can have different reaction rates, which is how quickly they proceed.
02

Identifying the Slowest Step

The rate-determining step (RDS) is the slowest step in a reaction mechanism. Even if other steps are faster, the overall rate of the reaction cannot exceed the rate of this slowest step because subsequent steps must wait for it to complete before proceeding.
03

Everyday Analogy: The Traffic Example

Imagine driving through a series of traffic lights along a road. If one light is particularly slow to change (taking a long period before allowing traffic to pass), it will dictate the overall time it takes for a convoy of cars to get through the series of lights. This slow light is similar to the rate-determining step in a chemical reaction.

Key Concepts

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

Understanding Reaction Mechanism
When we talk about the reaction mechanism, we're referring to the step-by-step journey that reactants undergo to become products. Think of it like a play, with each part having its own scene in the larger narrative. Each "scene" or step involves the breaking and forming of chemical bonds. This sequence of steps maps out how the transformation takes place.

In a multi-step reaction, the mechanism isn't just one move, but rather a series of small moves. Here are some key points to remember about reaction mechanisms:
  • Each step involves a different chemical process, such as bond cleavage or electron transfer.
  • Intermediate species might form and dissipate quickly.
  • Understanding these steps helps in predicting the behavior of the reaction.
Like solving a puzzle, knowing the reaction mechanism helps chemists understand how different factors affect the overall reaction.
Defining Reaction Rate
The reaction rate tells us how quickly or slowly a reaction proceeds. It's like the speed of a car in a race – some reactions speed along quickly, while others lumber along like a slow-moving vehicle. This speed depends on various factors:
  • The concentration of reactants: More reactant molecules mean more frequent collisions, increasing the rate.
  • Temperature: Higher temperature usually speeds up reactions, as molecules move faster and collide more intensely.
  • The presence of catalysts: Catalysts can provide alternative pathways, lowering the activation energy required, thus increasing the rate.
  • The rate-determining step: Regardless of other steps, this slowest step ultimately limits how fast the reaction can go.
Knowing the reaction rate helps in controlling industrial processes and can be crucial in designing efficient chemical syntheses.
Exploring Multi-Step Reactions
Multi-step reactions are like a relay race, where each runner (or step) must do their part to complete the race efficiently. These reactions involve a sequence of steps, each contributing to the overall transformation from reactants to products. Some key ideas to grasp about multi-step reactions include:
  • Each step has its own rate, and they can differ significantly from one another.
  • The rate-determining step (RDS) acts like the baton handover area in a relay race – if it's slow, it affects the whole race.
  • Understanding each step can help identify which parts may be optimized or improved to speed up the overall reaction.
In practice, multi-step reactions require careful study and manipulation to ensure that the process runs smoothly and efficiently. Identifying and improving the rate-determining step can lead to significant time and cost savings in chemical production.

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Most popular questions from this chapter

(a) Consider two reactions, \(\mathrm{A}\) and \(\mathrm{B}\). If the rate constant for reaction B increases by a larger factor than that of reaction A when the temperature is increased from \(T_{1}\) to \(T_{2},\) what can you conclude about the relative values of the activation energies of the two reactions? (b) If a bimolecular reaction occurs every time an \(\mathrm{A}\) and a \(\mathrm{B}\) molecule collide, what can you say about the orientation factor and activation energy of the reaction?

In a certain industrial process involving a heterogeneous catalyst, the volume of the catalyst (in the shape of a sphere) is \(10.0 \mathrm{~cm}^{3} .\) Calculate the surface area of the catalyst. If the sphere is broken down into eight smaller spheres, each having a volume of \(1.25 \mathrm{~cm}^{3},\) what is the total surface area of the spheres? Which of the two geometric configurations of the catalyst is more effective? (The surface area of a sphere is \(4 \pi r^{2}\), where \(r\) is the radius of the sphere.) Based on your analysis here, explain why it is sometimes dangerous to work in grain elevators.

The rate constant of a first-order reaction is \(66 \mathrm{~s}^{-1}\). What is the rate constant in units of minutes?

The rate constants of some reactions double with every \(10^{\circ}\) rise in temperature. Assume that a reaction takes place at \(295 \mathrm{~K}\) and \(305 \mathrm{~K}\). What must the activation energy be for the rate constant to double as described?

The rate law for the reaction: $$ 2 \mathrm{NO}(g)+\mathrm{Cl}_{2}(g) \longrightarrow 2 \mathrm{NOCl}(g) $$ is given by rate \(=k[\mathrm{NO}]\left[\mathrm{Cl}_{2}\right]\). (a) What is the order of the reaction? (b) A mechanism involving the following steps has been proposed for the reaction: $$ \begin{aligned} \mathrm{NO}(g)+\mathrm{Cl}_{2}(g) & \longrightarrow \mathrm{NOCl}_{2}(g) \\ \mathrm{NOCl}_{2}(g)+\mathrm{NO}(g) & \longrightarrow 2 \mathrm{NOCl}(g) \end{aligned} $$ If this mechanism is correct, what does it imply about the relative rates of these two steps?

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