Problem 79

Question

The oxidation of \(\mathrm{SO}_{2}\) to \(\mathrm{SO}_{3}\) is accelerated by \(\mathrm{NO}_{2} .\) The reaction proceeds according to: $$ \begin{array}{l}{\mathrm{NO}_{2}(g)+\mathrm{SO}_{2}(g) \longrightarrow \mathrm{NO}(g)+\mathrm{SO}_{3}(g)} \\ {2 \mathrm{NO}(g)+\mathrm{O}_{2}(g) \longrightarrow 2 \mathrm{NO}_{2}(g)}\end{array}$$ (a) Show that, with appropriate coefficients, the two reactions can be summed to give the overall oxidation of \(S O_{2}\) by \(\mathrm{O}_{2}\) to give \(S O_{3} .(\mathbf{b})\) Do we consider \(N O_{2}\) a catalyst or an intermediate in this reaction? (c) Would you classify NO as a catalyst or as an intermediate? { ( d ) } Is this an example of homogeneous catalysis or heterogeneous catalysis?

Step-by-Step Solution

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Answer
(a) The overall reaction for the oxidation of SO₂ to SO₃ is: \(2SO_{2}(g) + O_{2}(g) \rightarrow 2SO_{3}(g)\) (b) NO₂ acts as a catalyst in this reaction, as it is utilized in the first reaction and regenerated in the second. (c) NO is an intermediate in this set of reactions, as it is produced in the first reaction and consumed in the second. (d) This is an example of homogeneous catalysis, as all species involved are in the gas phase.
1Step 1: (a) Finding the overall reaction
First, let's balance the two given reactions: 1. NO₂(g) + SO₂(g) → NO(g) + SO₃(g) (already balanced) 2. 2NO(g) + O₂(g) → 2NO₂(g) (already balanced) Now we can sum the reactions. In order to cancel the NO(g) and NO₂(g) species, we need two of the first reaction to balance the second reaction: 2(NO₂(g) + SO₂(g) → NO(g) + SO₃(g)) 2NO(g) + O₂(g) → 2NO₂(g) Summing the reactions, we get: 2NO₂(g) + 2SO₂(g) + 2NO(g) + O₂(g) → 2NO(g) + 2SO₃(g) + 2NO₂(g) Now we can cancel the species present on both sides: 2SO₂(g) + O₂(g) → 2SO₃(g) This is the overall reaction for the oxidation of SO₂ to SO₃.
2Step 2: (b) Identifying NO₂ as a catalyst or an intermediate
A catalyst is a substance that increases the rate of a chemical reaction but remains unchanged at the end of the reaction. Looking at the overall reaction, we can see that NO₂ does not appear in the final reaction. Since it is utilized in the first reaction and regenerated in the second, it is a catalyst in this reaction.
3Step 3: (c) Identifying NO as a catalyst or an intermediate
An intermediate is a reaction species that is produced during a reaction and is then consumed in a subsequent reaction. NO is produced in the first reaction and consumed in the second reaction, so it is an intermediate in this set of reactions.
4Step 4: (d) Classifying the type of catalysis
Homogeneous catalysis occurs when the catalyst and the reactants are in the same phase (e.g., both are gases, liquids, or solids), while heterogeneous catalysis occurs when the catalyst and the reactants are in different phases. In this case, all species are gases, so this is an example of homogeneous catalysis.

Key Concepts

CatalystChemical ReactionOxidation Reaction
Catalyst
In chemistry, a catalyst is a substance that speeds up a chemical reaction without being consumed in the process. Think of it as a helper that makes things happen faster but doesn't get used up itself. In the given reaction, NO₂ is a catalyst. It helps in converting SO₂ to SO₃ more quickly.

Catalysts work by lowering the activation energy required for a reaction. This means less energy is needed for the reaction to occur, making it faster. An important feature of catalysts is that they do not change the final amount of products; they only change how fast the products are made.
  • Catalysts are often used in industries to make chemical processes more efficient.
  • They are essential in reactions where speed is crucial.
NO₂ participates in the reaction but is regenerated, making it an ideal example of a catalyst. It enters in one form, participates, and exits unchanged so that it can continue to facilitate more reactions.
Chemical Reaction
A chemical reaction involves the rearrangement of atoms to change substances into different materials. In the exercise, we see two reactions taking place. The first reaction involves NO₂ and SO₂ transforming into NO and SO₃. The second reaction converts these intermediates back to NO₂ using additional O₂.

Chemical reactions can be represented by equations where reactants are transformed into products. Both reactions in this exercise are balanced, meaning the number of each type of atom on the reactant side equals the number on the product side.
  • Reactions must be balanced to obey the law of conservation of mass.
  • Reactants are the starting substances, while products are the new substances formed.
In the problem, understanding how to balance and combine these reactions helps in determining the overall reaction, which is integral to the goal of transforming SO₂ to SO₃ using the aid of a catalyst.
Oxidation Reaction
An oxidation reaction involves the loss of electrons by a molecule, atom, or ion. In simpler terms, it's a chemical process where a substance gains oxygen or loses hydrogen. In the context of the given exercise, SO₂ is oxidized to form SO₃. This means SO₂ gains oxygen in this process.

Oxidation reactions are often coupled with reduction reactions, where another substance gains electrons. This combined process is called a redox reaction. Redox reactions are vital in many biological and industrial chemical processes.
  • Oxidation increases the oxygen content in a compound.
  • It usually leads to the formation of oxides, like SO₃ in this reaction.
The importance of oxidation reactions cannot be understated, as they are crucial in processes ranging from energy production in cells to metal rusting. In the exercise, the final overall reaction shows this oxidation happening with O₂, facilitated by the presence of NO₂ as a catalyst to speed up the transformation.