Quiz: Reaction Mechanisms and Catalysis
Test your understanding of reaction mechanisms, elementary steps, rate-determining steps, intermediates, and catalysis with these questions.
1. Which of the following is the correct definition of the molecularity of an elementary step?
- The total number of products formed in the elementary step
- The overall reaction order for the complete multi-step reaction
- The number of reactant molecules (or atoms or ions) that collide in a single elementary step
- The ratio of the rate constant for the forward step to the rate constant for the reverse step
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The correct answer is C. Molecularity refers specifically to the number of species that collide or interact in a single elementary step. It is always a small positive integer (1, 2, or rarely 3) and applies only to elementary steps — never to overall multi-step reactions. Option A confuses molecularity with the number of products. Option B confuses molecularity with overall reaction order. Option D describes an equilibrium constant ratio, not molecularity.
Concept Tested: Molecularity
2. Consider the following proposed two-step mechanism:
Step 1 (slow): \(\ce{NO2 + NO2 -> NO3 + NO}\)
Step 2 (fast): \(\ce{NO3 + CO -> NO2 + CO2}\)
Which of the following is the overall balanced equation for this reaction?
- \(\ce{2NO2 + CO -> NO3 + NO + CO2}\)
- \(\ce{NO2 + CO -> NO + CO2}\)
- \(\ce{NO3 + CO -> NO2 + CO2}\)
- \(\ce{2NO2 + 2CO -> 2NO + 2CO2}\)
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The correct answer is B. Adding the two elementary steps and canceling intermediates: \(\ce{NO2 + \cancel{NO2} + \cancel{NO3} + CO -> \cancel{NO3} + NO + \cancel{NO2} + CO2}\). The species \(\ce{NO3}\) appears as a product of step 1 and a reactant of step 2 — it is an intermediate and cancels. One \(\ce{NO2}\) is regenerated in step 2 and also cancels. The net result is \(\ce{NO2 + CO -> NO + CO2}\). Option A retains the intermediate \(\ce{NO3}\) rather than canceling it. Option C is just step 2 alone. Option D incorrectly doubles all coefficients.
Concept Tested: Reaction Mechanisms — Elementary Steps Sum to Overall Equation
3. For the mechanism in question 2, what rate law does the mechanism predict?
- \(\text{rate} = k[\ce{NO2}][\ce{CO}]\)
- \(\text{rate} = k[\ce{NO3}][\ce{CO}]\)
- \(\text{rate} = k[\ce{NO2}]^2\)
- \(\text{rate} = k[\ce{NO2}][\ce{CO}]^2\)
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The correct answer is C. The rate-determining step (RDS) is step 1 (the slow step): \(\ce{NO2 + NO2 -> NO3 + NO}\). Because this is a bimolecular elementary step, its rate law is written directly from its stoichiometry: \(\text{rate} = k[\ce{NO2}]^2\). The rate is second order in \(\ce{NO2}\) and zero order in \(\ce{CO}\), because \(\ce{CO}\) does not appear until the fast step 2, which does not control the overall rate. Option A includes \(\ce{CO}\), which is not in the RDS. Option B uses the intermediate \(\ce{NO3}\), which cannot appear in the final rate law. Option D is neither derived from the RDS nor from the overall stoichiometry.
Concept Tested: Rate-Determining Step
4. In the mechanism from question 2, what is the role of \(\ce{NO3}\)?
- It is a catalyst because it is regenerated at the end of the mechanism.
- It is a reaction intermediate because it is produced in one step and consumed in a subsequent step.
- It is a transition state because it exists at the energy maximum between steps 1 and 2.
- It is a spectator ion because it does not participate in any chemical bonding changes.
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The correct answer is B. A reaction intermediate is a species that appears as a product in one elementary step and is consumed as a reactant in a later step, but does not appear in the overall balanced equation. \(\ce{NO3}\) is produced in step 1 and consumed in step 2 — it is a classic intermediate. Option A is incorrect: \(\ce{NO3}\) is not regenerated at the end of the mechanism, so it is not a catalyst. Option C confuses intermediates (which occupy local energy minima and have finite lifetimes) with transition states (which sit at energy maxima and exist only instantaneously). Option D misapplies the spectator ion concept, which applies to ions that remain unchanged in solution, not to intermediates in mechanisms.
Concept Tested: Reaction Intermediates
5. A proposed mechanism must satisfy two requirements to be considered valid. Which pair correctly identifies both requirements?
- The mechanism must minimize the total number of elementary steps and include no bimolecular steps.
- The elementary steps must sum to the correct overall equation AND the predicted rate law must match the experimentally determined rate law.
- The mechanism must have a termolecular rate-determining step and produce no reaction intermediates.
- The rate law derived from the mechanism must match the balanced equation's stoichiometry AND the mechanism must not include unimolecular steps.
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The correct answer is B. A proposed mechanism is valid only if it passes two independent tests: (1) stoichiometric consistency — the steps sum algebraically to the correct overall balanced equation, with all intermediates canceling — and (2) rate law consistency — the rate law derived from the rate-determining step matches the experimentally measured rate law. Neither of these tests alone is sufficient. Options A and C describe criteria that are not part of mechanism validation. Option D incorrectly ties the rate law to balanced equation stoichiometry (which is not how rate laws are determined) and incorrectly excludes unimolecular steps.
Concept Tested: Mechanism Validation
6. A student proposes a mechanism in which a fast pre-equilibrium step precedes the slow rate-determining step. The intermediate \([\ce{X}]\) formed in the fast step appears in the rate-determining step's rate expression. Which approach correctly eliminates the intermediate from the final rate law?
- Set \([\ce{X}]\) equal to zero because intermediates are always present in negligible concentrations.
- Use the pre-equilibrium approximation: set the forward and reverse rates of the fast step equal to express \([\ce{X}]\) in terms of reactant concentrations.
- Replace \([\ce{X}]\) with the concentration of the product formed in the fast step.
- Ignore any elementary step that contains the intermediate when writing the overall rate law.
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The correct answer is B. When a fast reversible step precedes the rate-determining step, the pre-equilibrium approximation applies: the fast step reaches equilibrium quickly, so its forward and reverse rates are equal. Setting \(k_f[\text{reactants}] = k_r[\ce{X}]\) and solving gives \([\ce{X}] = (k_f/k_r)[\text{reactants}] = K_{eq}[\text{reactants}]\). This substitution eliminates the intermediate from the rate-determining step's rate law, yielding a rate law expressed entirely in terms of measurable reactant concentrations. Option A incorrectly treats all intermediates as negligible. Option C has no theoretical basis. Option D would produce an incorrect result by ignoring mechanistic steps.
Concept Tested: Mechanism Validation — Pre-Equilibrium Approximation
7. Which of the following correctly describes the effect of a catalyst on the thermodynamics and kinetics of a chemical reaction?
- A catalyst lowers \(E_a\), increases \(k\), and shifts the equilibrium position toward products.
- A catalyst lowers \(E_a\), increases \(k\), but does not change \(\Delta H\), \(\Delta G\), or the equilibrium constant \(K\).
- A catalyst increases \(\Delta H\) for the forward reaction while lowering \(E_a\) for the reverse reaction only.
- A catalyst increases \(k\) for the forward reaction but has no effect on the rate of the reverse reaction.
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The correct answer is B. A catalyst provides an alternative reaction pathway with lower activation energy, increasing the rate constant \(k\) (as quantified by the Arrhenius equation \(k = Ae^{-E_a/RT}\)). However, a catalyst does not change the thermodynamics: \(\Delta H\), \(\Delta G\), and \(K\) remain identical because the reactant and product energy levels are unchanged. Option A is incorrect: catalysts do not shift the equilibrium position. Option C is incorrect: \(\Delta H\) is determined by reactant and product energies, which the catalyst does not alter. Option D is incorrect: catalysts speed up both the forward and reverse reactions equally, reaching equilibrium faster without changing its position.
Concept Tested: Catalyst Effect on Activation Energy and Equilibrium
8. In heterogeneous catalysis, in which order do the following stages typically occur at a solid catalyst surface?
- Surface reaction → adsorption → desorption
- Desorption → surface reaction → adsorption
- Adsorption → surface reaction → desorption
- Adsorption → desorption → surface reaction
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The correct answer is C. Heterogeneous catalysis at a solid surface proceeds in three stages: (1) Adsorption — reactant molecules bind to active sites on the catalyst surface, often weakening existing bonds; (2) Surface reaction — adsorbed species react with each other or rearrange on the surface; (3) Desorption — product molecules detach from the surface and diffuse away, freeing active sites for additional reactant molecules. This sequence is the mechanistic foundation for industrial processes such as the Haber-Bosch synthesis of ammonia on iron. Options A, B, and D all present incorrect orderings of these stages.
Concept Tested: Heterogeneous Catalysis
9. Chlorine radicals from chlorofluorocarbons (CFCs) catalyze the destruction of stratospheric ozone through the following two elementary steps:
Step 1: \(\ce{Cl + O3 -> ClO + O2}\)
Step 2: \(\ce{ClO + O -> Cl + O2}\)
This is an example of which type of catalysis, and what evidence from the mechanism supports this classification?
- Heterogeneous catalysis, because Cl is a solid at stratospheric temperatures.
- Enzyme catalysis, because the Cl radical binds to a specific active site on \(\ce{O3}\).
- Homogeneous catalysis, because the Cl radical catalyst and the \(\ce{O3}\) reactant are both in the gas phase.
- Heterogeneous catalysis, because the Cl radical is in a different phase from the stratospheric aerosol particles.
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The correct answer is C. In homogeneous catalysis, the catalyst and the reactants are in the same phase. Both the Cl radical and \(\ce{O3}\) are gases in the stratosphere. The Cl is consumed in step 1 but regenerated in step 2, confirming its role as a catalyst. One Cl atom can destroy thousands of ozone molecules before being deactivated. Option A is factually incorrect: Cl radicals are gas-phase species, not solids. Option B misapplies the enzyme concept, which requires protein active sites. Option D misidentifies the phase relationship — both species are in the gas phase.
Concept Tested: Homogeneous Catalysis
10. A student analyzes concentration-versus-time data for two reactions and finds: Reaction 1 has a constant half-life regardless of initial concentration; Reaction 2 has a half-life that decreases as concentration decreases. What are the respective reaction orders?
- Reaction 1 is zero order; Reaction 2 is first order.
- Reaction 1 is second order; Reaction 2 is first order.
- Reaction 1 is first order; Reaction 2 is zero order.
- Reaction 1 is first order; Reaction 2 is second order.
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The correct answer is C. A constant half-life (independent of initial concentration) is the defining characteristic of first-order reactions: \(t_{1/2} = 0.693/k\). For zero-order reactions, \(t_{1/2} = [\text{A}]_0 / (2k)\), meaning half-life decreases as \([\text{A}]_0\) decreases — each successive half-life is shorter as the reactant is consumed. Option D is a common distractor: second-order half-life \(t_{1/2} = 1/(k[\text{A}]_0)\) actually increases as concentration decreases — the opposite of what is described for Reaction 2. Options A and B have the half-life behavior descriptions inverted.
Concept Tested: Half-Life and Reaction Order — Determining Reaction Order