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?

Short Answer

Expert verified
(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.

Step by step solution

01

(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.
02

(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.
03

(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.
04

(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.

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Most popular questions from this chapter

(a) If you were going to build a system to check the effectiveness of automobile catalytic converters on cars, what substances would you want to look for in the car exhaust? (b) Automobile catalytic converters have to work at high temperatures, as hot exhaust gases stream through them. In what ways could this be an advantage? In what ways a disadvantage? (c) Why is the rate of flow of exhaust gases over a catalytic converter important?

Ozone in the upper atmosphere can be destroyed by the following two-step mechanism: $$ \begin{array}{c}{\mathrm{Cl}(g)+\mathrm{O}_{3}(g) \longrightarrow \mathrm{ClO}(g)+\mathrm{O}_{2}(g)} \\ {\mathrm{ClO}(g)+\mathrm{O}(g) \longrightarrow \mathrm{Cl}(g)+\mathrm{O}_{2}(g)}\end{array}$$ (a) What is the overall equation for this process? (b) What is the catalyst in the reaction? (c) What is the intermediate in the reaction?

(a) In which of the following reactions would you expect the orientation factor to be least important in leading to reaction: \(\mathrm{NO}+\mathrm{O} \longrightarrow \mathrm{NO}_{2}\) or \(\mathrm{H}+\mathrm{Cl} \longrightarrow \mathrm{HCl}\) ? (b) Does the orientation factor depend on temperature?

The following mechanism has been proposed for the gasphase reaction of chloroform (CHCl_ ) and chlorine:$$\begin{array}{l}{\text { Step } 1 : \mathrm{Cl}_{2}(g) \frac{k_{1}}{k_{-1}} 2 \mathrm{Cl}(g) \text { (fast) }} \\\ {\text { Step } 2 : \mathrm{Cl}(g)+\mathrm{CHCl}_{3}(g) \stackrel{k_{2}}{\longrightarrow} \mathrm{HCl}(g)+\mathrm{CCl}_{3}(g) \text { (slow) }}\end{array}$$ $$ { Step } \quad3 : \quad \mathrm{Cl}(g)+\mathrm{CCl}_{3}(g) \stackrel{k_{3}}{\longrightarrow} \mathrm{CCl}_{4} \quad(\text { fast })$$ (a) What is the overall reaction? (b) What are the intermedi- ates in the mechanism? (c) What is the molecularity of each of the elementary reactions? (d) What is the rate-determining step? (e) What is the rate law predicted by this mechanism? (Hint: The overall reaction order is not an integer.)

The gas-phase reaction of NO with \(\mathrm{F}_{2}\) to form \(\mathrm{NOF}\) and \(\mathrm{F}\) has an activation energy of \(E_{a}=6.3 \mathrm{kJ} / \mathrm{mol} .\) and a frequency factor of \(A=6.0 \times 10^{8} M^{-1} \mathrm{s}^{-1} .\) The reaction is believed to be bimolecular: $$ \mathrm{NO}(g)+\mathrm{F}_{2}(g) \longrightarrow \mathrm{NOF}(g)+\mathrm{F}(g)$$ (a) Calculate the rate constant at \(100^{\circ} \mathrm{C}\) . (b) Draw the Lewis structures for the NO and the NOF molecules, given that the chemical formula for NOF is misleading because the nitrogen atom is actually the central atom in the molecule, (c) Predict the shape for the NOF molecule.Draw a possible transition state for the formation of NOF, using dashed lines to indicate the weak bonds that are beginning to form. (e) Suggest a reason for the low activation energy for the reaction.

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