Ozone in the upper atmosphere can be destroyed by the following two-step mechanism: Cl(g) + O 3 (g) → ClO(g) + O 2 (g) ClO(g) + O(g) → Cl(g) + O 2 (g) (a) What is the overall equation for this process?

Hello everyone today. We are being asked to write an overall equation for the overall reaction using the above mechanism. So we have step one, step two and step three. So the first thing you want to do is you want to write these steps out? So we'll do just that will say we have to gas reacting to form two most of bromine bromine gas. We also have that bro mean gas forming with methane in the gas form to form hbr which is a strong acid in the gas form and Methane or methyl group in the gas form. And then we have that CH three reacting with our roaming from earlier To form this CH three be our product. And so we want to remember a couple of rules. The first one is that the same species? On the same side they're going to add and the same species this is going to be the reverse on different sides. So different sides, they are going to go ahead and subtract using that rule we can go ahead and proceed, we see that we have a we have one bro man on the right on the first equation and we have one brunette on the left for the second equation. Therefore they're going to cancel out. We also see in a second equation we have a CH three on the right of the arrow and we also have a CH three on the left of the arrow. Of the subsequent reaction? We were left with one bro mean in the first equation since we had to and only got rid of one. However, notice how the third reaction also has a bro mean, so we can go ahead and get rid of that second bro mean, and thus we are left with the remaining equation that we have our bro mean, gas, BR two gas plus our methane CH four, also in the gas, and that is going to go ahead and form CH three B are in our gas form as well as H. B. R. In the gas form as well. I hope this helped, and until next time.

Ch.14 - Chemical Kinetics

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Brown 14th Edition

Ch.14 - Chemical Kinetics

Problem 108a

Chapter 14, Problem 108a

Ozone in the upper atmosphere can be destroyed by the following two-step mechanism:
Cl(g) + O₃(g) → ClO(g) + O₂(g)
ClO(g) + O(g) → Cl(g) + O₂(g)
(a) What is the overall equation for this process?

Verified step by step guidance

Identify the reactants and products in each step of the mechanism. In the first step, Cl(g) reacts with O3(g) to form ClO(g) and O2(g). In the second step, ClO(g) reacts with O(g) to regenerate Cl(g) and produce O2(g).

Write down the two given reactions: Step 1: Cl(g) + O3(g) → ClO(g) + O2(g) and Step 2: ClO(g) + O(g) → Cl(g) + O2(g).

Add the two reactions together to find the overall equation. When adding, cancel out any species that appear on both sides of the equation. In this case, ClO(g) and Cl(g) appear on both sides.

After canceling, combine the remaining species to form the overall equation. The reactants are O3(g) and O(g), and the products are O2(g).

Write the overall equation for the process: O3(g) + O(g) → 2O2(g). This represents the net change in the chemical species involved in the mechanism.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Chemical Reactions

Chemical reactions involve the transformation of reactants into products through the breaking and forming of bonds. In this case, the reactions show how chlorine (Cl) interacts with ozone (O3) to form chlorine monoxide (ClO) and oxygen (O2). Understanding the stoichiometry and conservation of mass is essential for determining the overall reaction.

Intermediate Species

In multi-step reactions, intermediate species are formed in one step and consumed in another. Here, ClO is an intermediate that facilitates the regeneration of Cl while also contributing to the destruction of ozone. Recognizing the role of intermediates is crucial for analyzing reaction mechanisms and calculating overall equations.

Overall Reaction Equation

The overall reaction equation summarizes the net change from reactants to products across all steps. To derive it, one must add the individual reactions while canceling out any species that appear on both sides. This process highlights the conservation of atoms and helps in understanding the complete chemical process involved in ozone depletion.

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Overall Reaction Equilibrium Constant

Related Practice

Textbook Question

The following mechanism has been proposed for the reaction of NO with H₂ to form N₂O and H₂O:

NO(g) + NO(g) → N₂O₂(g)

N₂O₂(g) + H₂(g) → N₂O(g) + H₂O(g)

(a) Show that the elementary reactions of the proposed mechanism add to provide a balanced equation for the reaction.

Textbook Question

The following mechanism has been proposed for the reaction of NO with H₂ to form N₂O and H₂O:

NO(g) + NO(g) → N₂O₂(g)

N₂O₂(g) + H₂(g) → N₂O(g) + H₂O(g)

(d) The observed rate law is rate = k[NO]²[H₂]. If the proposed mechanism is correct, what can we conclude about the relative speeds of the first and second reactions?

Textbook Question

Ozone in the upper atmosphere can be destroyed by the following two-step mechanism:

Cl(g) + O₃(g) → ClO(g) + O₂(g)

ClO(g) + O(g) → Cl(g) + O₂(g)

(b) What is the catalyst in the reaction?

Textbook Question

The gas-phase decomposition of ozone is thought to occur by the following two-step mechanism.

Step 1: O₃(g) ⇌ O₂(g) + O(g) (fast)

Step 2: O(g) + O₃(g) → 2 O₂ (slow)

(a) Write the balanced equation for the overall reaction.

Textbook Question

The gas-phase decomposition of ozone is thought to occur by the following two-step mechanism.

Step 1: O₃(g) ⇌ O₂(g) + O(g) (fast)

Step 2: O(g) + O₃(g) → 2 O₂ (slow)

(b) Derive the rate law that is consistent with this mechanism. (Hint: The product appears in the rate law.)

Ozone in the upper atmosphere can be destroyed by the following two-step mechanism:Cl(g) + O3(g) → ClO(g) + O2(g)ClO(g) + O(g) → Cl(g) + O2(g)(a) What is the overall equation for this process?

Verified video answer for a similar problem:

Key Concepts

Chemical Reactions

Intermediate Species

Overall Reaction Equation

Ozone in the upper atmosphere can be destroyed by the following two-step mechanism:
Cl(g) + O₃(g) → ClO(g) + O₂(g)
ClO(g) + O(g) → Cl(g) + O₂(g)
(a) What is the overall equation for this process?