Why is it unlikely that the reaction \(\mathrm{A}+2 \mathrm{~B}+\mathrm{C} \rightarrow \mathrm{P}\) occurs in one step?

Short Answer

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It is unlikely that the reaction \(A + 2B + C \rightarrow P\) occurs in one step due to the low probability of a three-particle collision and the requirement for precise coordination among the reactants. Reactions with more than two reactants typically proceed through a sequence of simpler elementary steps involving fewer reactant particles, making a one-step reaction for this scenario less likely.

Step by step solution

01

Understand the Reaction Collisions and Molecularity

For a reaction to occur in a single step, all the reactants involved in the reaction must collide simultaneously and with the correct orientation to form bonds. Molecularity refers to the number of reactant particles involved in an elementary step of the overall reaction. In this reaction, three reactant particles A, B, and C are involved in forming the product P. Since there are three reactant particles, the molecularity of the reaction is 3. It's essential to consider if it's highly probable for all three reactants to collide and bond simultaneously.
02

Evaluate the Probability of a Three-Particle Collision

The probability of a three-particle collision is generally considered low. This is because, for this reaction to occur in a single step, the three reactant particles must come together and collide simultaneously with the correct orientation to form the product. Such a simultaneous collision requires a high level of precise coordination among the reactants and is, therefore, considered improbable in chemical kinetics.
03

Analyze Reaction Mechanism and Relevant Elementary Steps

In reactions where the molecularity is greater than 2 (i.e., more than two particles are involved), it is often found that they typically occur via a sequence of simpler elementary steps. These steps occur sequentially, involving fewer reactants (usually one or two) in each step. Considering the improbability of a three-particle collision, it is more likely that the given reaction proceeds through a series of elementary steps involving two or fewer reactants. This results in an overall reaction mechanism that is more feasible in terms of collision theory and chemical kinetics. In conclusion, it is unlikely that the reaction A + 2B + C → P occurs in one step due to the low probability of a three-particle collision and the requirement for precise coordination. Reactions with more than two reactants typically proceed through a sequence of simpler elementary steps involving fewer reactant particles.

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Most popular questions from this chapter

The mechanism for the reaction of \(A_{2}\) with \(B\) is: Step \(1: \mathrm{A}_{2}+\mathrm{Y} \rightarrow \mathrm{AY}+\mathrm{A}\) (slow) Step \(2: \mathrm{A}+\mathrm{B} \rightarrow \mathrm{AB}\) (fast) Step 3: \(\mathrm{AY}+\mathrm{AB} \rightarrow \mathrm{Y}+\mathrm{A}_{2} \mathrm{~B}\) (fast) (a) Write the overall reaction that is occurring. (b) Which step determines the rate law for the reaction? (c) Write the rate law for the reaction. (d) What happens to the rate of the reaction when \(\left[\mathrm{A}_{2}\right]\) is doubled? (e) Which species is the catalyst? (f) Which species are reaction intermediates?

Chemical companies invest a considerable amount of time and energy in search of better catalysts for their chemical processes. Explain how this investment might pay off.

Given the general form of the rate law, Rate \(=k[\operatorname{Reactant} 1]^{x}[\text { Reactant } 2]^{y}\) answer the following questions: (a) Which part of the rate law reflects the inherent factors of the reaction? (b) What is the general name for the exponents \(x\) and \(y ?\) (c) How do we calculate the overall order of a chemical reaction? (d) Suppose the reaction is second-order with respect to reactant 1 and first- order with respect to reactant \(2 .\) What are the values of \(x\) and \(y\), and what is the overall order of a reaction with only these two reactants? (e) Suppose reactant 1 does not appear in the rate law. What does this say about the value of its order? What is the meaning of the value of its order?

Consider the reaction \(\mathrm{A}_{2}+\mathrm{B}_{2} \rightarrow 2 \mathrm{AB}\), for which \(\Delta E_{\mathrm{rxn}}=-100 \mathrm{~kJ}\). Forming 1 mole of A \(-B\) bonds releases \(150 \mathrm{~kJ}\). How much energy does it take to break the reactant bonds?

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