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Chapter 16: Problem 14

Explain how collision theory accounts for the effect of concentration on reaction rate.

Short Answer

Expert verified
Collision theory accounts for the effect of concentration on reaction rate by explaining that an increased concentration leads to a higher probability of successful collisions between reactant particles. A higher concentration, with more particles in the same space, results in more successful collisions per unit time. Since successful collisions are directly related to the reaction rate, an increase in concentration leads to a faster reaction rate. This relationship is summarized by the equation: Reaction rate 鈭� [A]^[m] * [B]^[n], where [A] and [B] represent the concentrations of reactants A and B, and 'm' and 'n' are their respective orders of reaction.

Step by step solution

01

Introduction to Collision Theory

Collision theory states that for a reaction to occur, reactant particles must collide with each other. These collisions must have sufficient energy to overcome the activation energy barrier and the correct orientation for the reaction to proceed.
02

Concentration and its effect on the number of collisions

The concentration of a reactant in a solution is defined as the number of particles (atoms, molecules, or ions) of that substance in a given space. In a higher concentration, there are more particles in the same space compared to a lower concentration. As a result, at a higher concentration, the probability of reactant particles colliding with one another increases, leading to more successful collisions per unit time.
03

Successful collisions and reaction rate

Not all collisions between reactant particles result in a reaction. To be successful, a collision must meet the criteria of having both sufficient energy and the correct orientation. Because the number of particles in the reaction space is directly related to the probability of successful collisions, a higher concentration increases the likelihood of successful collisions and consequently leads to a faster reaction rate.
04

Relationship between concentration and reaction rate

The impact of concentration on reaction rate can be summarized by the equation: Reaction rate 鈭� [A]^[m] * [B]^[n] \[ \] Here, 'Reaction rate' represents the speed of the reaction, [A] and [B] are the concentrations of reactants A and B, and 'm' and 'n' are their respective orders of reaction. In most cases, increasing the concentration of a reactant leads to an increase in the reaction rate. This relationship is consistent with collision theory, as more reactant particles in a given space results in more successful collisions. In conclusion, collision theory accounts for the effect of concentration on reaction rate by explaining that an increased concentration leads to an increased probability of successful collisions between reactant particles. More successful collisions result in a faster reaction rate, providing a clear relationship between concentration and reaction rate.

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Key Concepts

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

Concentration
Concentration is all about how many particles of a substance are present in a certain amount of space. Imagine a crowded room full of people compared to a nearly empty room. In the crowded room, people are more likely to bump into each other. Similarly, in a chemical reaction, when the concentration of reactants is high, the particles are densely packed.
This increases the chances of them colliding with each other.
A high concentration means:
  • More particles in a given volume
  • Increased number of collisions
  • Higher likelihood of successful reactions
Because collisions are more frequent at higher concentrations, reactions tend to happen faster. So, in essence, increasing the concentration of reactants helps speed up the reaction due to more collisions occurring.
Reaction Rate
The reaction rate is a measure of how fast a reaction occurs. It is directly linked to how often the reactant particles collide with each other.
When we talk about increasing the reaction rate, we're referring to making these collisions happen more frequently. Factors that influence reaction rate can include concentration, temperature, and the presence of a catalyst, but let's focus on concentration here.
With higher concentration:
  • More particles are available to collide
  • The frequency of collisions increases
  • Reactions happen in a shorter time frame
The relationship between concentration and reaction rate is often expressed mathematically. As concentration goes up, the reaction rate also rises, allowing for a quick and efficient process.
Activation Energy
Activation energy is the minimum amount of energy that colliding particles need in order for a reaction to occur. They have to overcome this energy barrier to transform reactants into products.
Think of it as the effort needed to push a boulder over a hill; only when sufficient energy is available can the boulder roll down the other side. For a chemical reaction:
  • Reactant particles must reach a certain energy level
  • This energy is necessary to initiate the transformation
  • The easier it is to provide this energy, the faster the reaction
Often, increasing the concentration helps because it leads to more collisions, some of which will have the energy necessary to surpass the activation energy. Thus, activation energy is a crucial part of determining if a collision will result in a reaction.
Successful Collisions
Not all collisions lead to a reaction. For a collision to be deemed "successful," two main conditions must be met:
  • The colliding particles must have enough energy (activation energy)
  • The particles must align in the correct orientation
Successful collisions are what ultimately change reactants into products in a reaction. The collision theory suggests that more collisions can result in faster reactions, but only if those collisions are successful.
Increased concentration aids in this because:
  • There are more opportunities for the right collisions to happen
  • Statistically, the chance of having proper orientation and sufficient energy increases
This is why higher concentrations often correlate with faster reaction rates. The probability of successful collisions rises with more particles in the same space, leading to a swift and effective reaction process.

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Most popular questions from this chapter

Write the rate law for the reaction a \(\mathrm{A} \rightarrow b \mathrm{B}\) if the reaction is third order in \(\mathrm{A}\) . [B] is not part of the rate law.

Explain why the average rate of a reaction depends on the length of the time interval over which the rate is measured.

Describe the effect on the rate of a reaction if one of the reactants is ground to a powder rather than used as a single chunk.

Classify each of the following elements as a metal, nonmetal, or metalloid. (Chapter 6) a. molybdenum b. bromine c. arsenic d. neon e. cerium

Apply collision theory to explain two reasons why increasing the temperature of a reaction by 10 \(\mathrm{K}\) often doubles the reaction rate.
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