Catalysis and Reaction Rates
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Questions and Answers

In the catalytic formation of $SO_3$ using nitric oxide (NO), what role does $NO_2$ play according to the proposed mechanism?

  • It directly reacts with oxygen to form $SO_3$.
  • It acts as a final product that inhibits the reaction.
  • It serves as an intermediate, being both produced and consumed during the reaction. (correct)
  • It remains unchanged throughout the entire reaction.
  • Which characteristic is most crucial for a solid catalyst used in the hydrogenation of vegetable oil?

  • Inertness towards the reactants to avoid side reactions.
  • High density to ensure proper mixing.
  • Low porosity to prevent reactant adsorption.
  • Large surface area to facilitate effective interaction with reactants. (correct)
  • What is the primary function of the mixture of Pd, Pt, and Rh in an automobile catalytic converter?

  • To increase the fuel efficiency of the engine.
  • To absorb uncombusted hydrocarbons.
  • To convert toxic gases like NO and CO into less harmful substances. (correct)
  • To filter particulate matter from the exhaust gases.
  • Given the reactions:

    $CO(g) + 3H_2(g) \xrightarrow{Ni-catalyst} CH_4(g) + H_2O(g)$

    $CO(g) + 2H_2(g) \xrightarrow{ZnO-Cr_2O_3 Catalyst} CH_3OH(g)$

    What can be concluded about catalysts?

    <p>Different catalysts can lead to different products from the same reactants. (C)</p> Signup and view all the answers

    In enzyme-catalyzed reactions, how do enzymes affect the activation energy?

    <p>Enzymes lower the activation energy, speeding up the reaction. (A)</p> Signup and view all the answers

    Which type of rate is most useful for determining the rate law of a reaction because it minimizes the impact of product concentrations?

    <p>Initial rate (B)</p> Signup and view all the answers

    A reaction's rate is measured at different times, and the data is plotted. How would you determine the instantaneous rate at a specific time point on the graph?

    <p>Determine the slope of the tangent line to the curve at that specific time point. (C)</p> Signup and view all the answers

    Consider a reaction where the concentration of a reactant decreases from 0.1 M to 0.05 M in 20 seconds. Which statement accurately describes how the average rate of this reaction should be expressed?

    <p>Average Rate = $(0.1 M - 0.05 M) / 20 s = 0.0025 M/s$ (C)</p> Signup and view all the answers

    In a study of chemical kinetics, why is it important to understand the stoichiometric relationships between reactants and products?

    <p>To accurately express the rates of consumption and formation of different substances in the reaction. (C)</p> Signup and view all the answers

    What is the primary purpose of determining the rate law for a chemical reaction?

    <p>To understand how the rate changes with varying reactant concentrations. (D)</p> Signup and view all the answers

    How does understanding the reaction mechanism aid in chemical kinetics?

    <p>It explains the sequence of elementary steps that dictates the reaction rate. (C)</p> Signup and view all the answers

    A chemist performs a reaction with and without a catalyst and measures the reaction rate in both scenarios. What key difference would be observed when a catalyst is used?

    <p>The catalyzed reaction proceeds at a faster rate due to a lower activation energy. (B)</p> Signup and view all the answers

    Why is the determination of activation energy important in chemical kinetics?

    <p>It helps to understand the temperature sensitivity of the reaction rate. (B)</p> Signup and view all the answers

    Why is determining the rate law of a reaction significant?

    <p>It provides insights into the sequence of steps involved in the reaction mechanism. (B)</p> Signup and view all the answers

    In the rate law expression, Rate = k[A]^x[B]^y, what do 'x' and 'y' represent?

    <p>The rate orders with respect to reactants A and B, respectively. (B)</p> Signup and view all the answers

    For the reaction 2N2O5 -> 4NO2 + O2, if the rate of formation of NO2 is 0.08 M/s, what is the rate of disappearance of N2O5?

    <p>0.04 M/s (D)</p> Signup and view all the answers

    Consider the rate law: Rate = k[A]^2[B]. What is the overall order of the reaction?

    <p>3 (B)</p> Signup and view all the answers

    In a zero-order reaction, how does changing the concentration of the reactant affect the reaction rate?

    <p>The reaction rate remains constant regardless of the concentration of the reactant. (D)</p> Signup and view all the answers

    Given the reaction aA + bB -> cC + dD, which expression accurately represents the relationship between the rates of disappearance of reactants and appearance of products?

    <p>$-\frac{1}{a}\frac{\Delta[A]}{\Delta t} = -\frac{1}{b}\frac{\Delta[B]}{\Delta t} = \frac{1}{c}\frac{\Delta[C]}{\Delta t} = \frac{1}{d}\frac{\Delta[D]}{\Delta t}$ (C)</p> Signup and view all the answers

    For a first-order reaction, if the rate constant k is 0.05 s^-1, what does this indicate about the reaction?

    <p>The rate of the reaction is directly proportional to the concentration of one reactant, and it proceeds at a certain rate defined by the rate constant. (D)</p> Signup and view all the answers

    Consider a reaction with the rate law Rate = k[A][B]^0. If the concentration of A is doubled, what happens to the reaction rate?

    <p>The reaction rate doubles. (C)</p> Signup and view all the answers

    In an experiment, the initial rate of a reaction between $S_2O_8^{2-}$ and $I^-$ is measured at two different concentrations of $S_2O_8^{2-}$, while keeping the $I^-$ concentration constant. If doubling the concentration of $S_2O_8^{2-}$ doubles the initial rate, what is the order of the reaction with respect to $S_2O_8^{2-}$?

    <p>First order (C)</p> Signup and view all the answers

    Consider a reaction where the rate law is given by $Rate = k[S_2O_8^{2-}] [I^-]$. If the initial concentrations are $[S_2O_8^{2-}] = 0.1 M$ and $[I^-] = 0.2 M$, and the rate constant $k = 5 \times 10^{-3} L \cdot mol^{-1} \cdot s^{-1}$, what is the initial rate of the reaction?

    <p>$1.0 \times 10^{-3} mol \cdot L^{-1} \cdot s^{-1}$ (D)</p> Signup and view all the answers

    For a zero-order reaction, a plot of reactant concentration $[R]_t$ versus time $t$ yields a straight line. What does the slope of this line represent?

    <p>The negative of the rate constant -k (B)</p> Signup and view all the answers

    The reaction between $S_2O_8^{2-}$ and $I^-$ is found to be first order with respect to both reactants. If the concentration of $S_2O_8^{2-}$ is doubled and the concentration of $I^-$ is halved, how will the rate of the reaction change?

    <p>The rate will remain the same (B)</p> Signup and view all the answers

    In a reaction with rate law $Rate = k[S_2O_8^{2-}] [I^-]$, the rate constant $k$ is determined to be $4.6 \times 10^{-3} L \cdot mol^{-1} \cdot s^{-1}$ at a certain temperature. If the concentrations of both $S_2O_8^{2-}$ and $I^-$ are $0.30 M$, what is the rate of the reaction?

    <p>$4.14 \times 10^{-4} mol \cdot L^{-1} \cdot s^{-1}$ (C)</p> Signup and view all the answers

    For the reaction $2NO_2(g) \rightarrow 2NO(g) + O_2(g)$, what is the correct interpretation of the rate law expression, Rate = $k[NO_2]^n$?

    <p>The rate of reaction depends on the concentration of $NO_2$ raised to the power of <code>n</code>, where <code>n</code> must be determined experimentally. (B)</p> Signup and view all the answers

    Consider a reaction where the rate law is given by Rate = $k[A]^2[B]$. What will happen to the reaction rate if the concentration of A is doubled and the concentration of B is halved?

    <p>The reaction rate will double. (C)</p> Signup and view all the answers

    Which statement best describes the relationship between differential and integrated rate laws?

    <p>Differential rate laws relate the reaction rate to the concentrations of reactants; integrated rate laws show how the concentrations of species change over time. (D)</p> Signup and view all the answers

    In determining the rate law for a reaction, why are the concentrations of products usually excluded?

    <p>The reverse reaction is negligible under the studied conditions. (A)</p> Signup and view all the answers

    For a reaction $R1 + R2 \rightarrow Products$, the experimentally determined rate law is Rate = $k[R1]^x[R2]^y$. What do the exponents x and y signify?

    <p>The rate orders with respect to the individual reactants R1 and R2, respectively. (C)</p> Signup and view all the answers

    If the average rate of a reaction decreases as the reaction progresses, which of the following is the most likely reason?

    <p>The concentration of reactants decreases. (A)</p> Signup and view all the answers

    The initial concentration of a reactant is 0.200 mol/L. After 60 seconds, the concentration drops to 0.100 mol/L. Assuming first-order kinetics, what is the approximate half-life of this reaction?

    <p>60 seconds (B)</p> Signup and view all the answers

    For the reaction $2NO_2(g) \rightarrow 2NO(g) + O_2(g)$, if the rate of formation of $O_2$ is $2.0 \times 10^{-6}$ mol/(L⋅s), what is the rate of decomposition of $NO_2$?

    <p>$4.0 \times 10^{-6}$ mol/(L⋅s) (C)</p> Signup and view all the answers

    For a reaction A → products, if the initial concentration of A is 8.0 M and after 60 seconds the concentration is 6.0 M, and the reaction is zero order, what is the rate constant (k)?

    <p>$3.33 \times 10^{-2} M/s$ (A)</p> Signup and view all the answers

    A reaction mechanism consists of several elementary steps. Which statement regarding the relationship between the elementary steps and the overall balanced equation is correct?

    <p>The sum of the elementary steps must equal the overall balanced equation. (B)</p> Signup and view all the answers

    Consider a reaction with the experimental rate law: Rate = k[A]^2[B]. Which of the following elementary steps is consistent with this rate law?

    <p>2A + B → Products (D)</p> Signup and view all the answers

    For the reaction $2N_2O_5(g) \rightarrow 4NO_2(g) + O_2(g)$, the proposed mechanism is:

    Step 1: $N_2O_5 \rightleftharpoons NO_2 + NO_3$ (fast) Step 2: $NO_2 + NO_3 \rightarrow NO + O_2 + NO_2$ (slow) Step 3: $NO_3 + NO \rightarrow 2NO_2$ (fast)

    What is the molecularity of the rate-determining step?

    <p>Bimolecular (B)</p> Signup and view all the answers

    What is the half-life of a first-order reaction if the rate constant is $7.0 \times 10^{-4} s^{-1}$?

    <p>990 s (C)</p> Signup and view all the answers

    Consider the following reaction mechanism:

    Step 1: $A + B \rightarrow C$ (slow) Step 2: $C + A \rightarrow D$ (fast)

    Which of the following rate laws is consistent with this mechanism?

    <p>Rate = k[A][B] (D)</p> Signup and view all the answers

    For a reaction to occur effectively, reactant molecules must collide with the proper orientation and sufficient energy. What is the term for the minimum energy required for a collision to result in a reaction?

    <p>Activation energy (D)</p> Signup and view all the answers

    A proposed mechanism for a reaction is:

    Step 1: $Cl_2(g) \rightleftharpoons 2Cl(g)$ (fast equilibrium) Step 2: $Cl(g) + CHCl_3(g) \rightarrow HCl(g) + CCl_3(g)$ (slow) Step 3: $CCl_3(g) + Cl(g) \rightarrow CCl_4(g)$ (fast)

    What is the overall order of the reaction predicted by this mechanism?

    <p>1.5 (B)</p> Signup and view all the answers

    Flashcards

    Chemical Kinetics

    The study of reaction rates and factors affecting them.

    Reaction Rates

    The change in concentration of reactants or products over time.

    Initial Rates

    Rates measured at the beginning of a reaction, based on initial concentrations.

    Instantaneous Rates

    Rates measured at a certain point during the reaction.

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    Average Rates

    Overall rate calculated over a time interval.

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    Half-Life

    Time required for the concentration of a reactant to decrease by half.

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    Rate Laws

    Mathematical expressions relating reaction rate to the concentrations of reactants.

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    Activation Energy

    The minimum energy required for a reaction to occur.

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    Rate of Reaction

    Description of how fast reactants turn into products, determined by concentration changes.

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    Rate Constant (k)

    A proportionality constant in the rate law that is specific to a particular reaction.

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    Order of the Reactant (n)

    An exponent in the rate law indicating the relationship between concentration and rate.

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    Differential Rate Law

    Shows how the reaction rate changes with varying concentrations of reactants.

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    Integrated Rate Law

    Illustrates how the concentrations of reactants and products change over time.

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    Decomposition Reaction

    A type of reaction where a single compound breaks down into two or more products.

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    Rate Order

    The exponent of a reactant's concentration in the rate law, indicating reaction rate dependence.

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    Overall Order

    Sum of the individual rate orders of all reactants in the rate law.

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    Stoichiometric Relationships

    Ratios that describe the relationships between rates of different substances in a reaction.

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    Zero-Order Reaction

    A reaction in which the rate is constant and independent of reactant concentration.

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    First Order Reaction

    A reaction in which the rate is directly proportional to the concentration of one reactant.

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    Reaction Rate Expression

    The mathematical formula that shows how the rate of a reaction depends on the concentrations of reactants.

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    Nitric Oxide Catalysis

    The use of nitric oxide in the catalytic formation of SO3 from SO2 and O2.

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    Heterogeneous Catalysis

    Catalysis where a solid catalyst facilitates reaction in gas phase.

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    Catalytic Converter Reaction

    A reaction in which a heterogeneous catalyst converts NO and CO to CO2 and N2.

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    Specific Catalysts

    Certain catalysts, like Ni or ZnO-Cr2O3, are specially suited for specific reactions.

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    Enzyme-catalyzed Reactions

    Reactions where substrates are transformed into products by enzymes.

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    Half-Life of a Reaction

    The time required for the concentration of a reactant to decrease by half.

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    Second Order Reaction

    Rate proportional to the square of the concentration of one reactant or the product of two reactants' concentrations.

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    Elementary Steps

    The individual steps in a reaction mechanism that show how reactants convert to products.

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    Molecularity

    The number of molecules involved in an elementary reaction step.

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    Reaction Mechanism

    The detailed series of elementary steps that outlines how a reaction occurs.

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    Rate Law for Elementary Processes

    Describes the relationship between the rate of a reaction and the concentration of reactants in elementary steps.

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    Transition-State Complex

    An unstable arrangement of atoms that occurs during a reaction when old bonds are breaking and new bonds are forming.

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    Study Notes

    Chemical Kinetics

    • Chemical kinetics is the study of reaction rates and factors affecting them. It measures the change in reactant or product concentration over time.
    • Reaction rates provide information on the molecular mechanism of a reaction.
    • Different types of rates are used, including initial rates (rates at the beginning of the reaction), instantaneous rates (rates at any point during the reaction), and average rates (overall rate over a period of time).

    Rate Laws

    • Rate laws describe how reaction rates depend on reactant concentrations.
    • For a reaction of the form aA + bB → Products, the rate law is typically expressed as Rate = k[A]x[B]y
    • The exponent (x, y) values are called "order" (with respect to each reactant) and are determined experimentally. They aren't necessarily related to the coefficients of the reaction.
    • The sum of the reactants' orders is the overall order of reaction.
    • The concentration of products doesn't appear in the rate law, as the reverse reaction isn't often considered in these studies.

    Types of Rate Laws

    • A differential rate law (rate law) shows how a reaction rate depends on the concentrations of reactants.
    • An integrated rate law shows how the concentrations of reactants or products depend on time.

    Rate Laws: Summary

    • Experimental convenience dictates which type of rate law is used.
    • Knowing the rate law helps determine the reaction's mechanism.

    Rate Order

    • The power/exponent of the reactant concentration in the rate law indicates the degree to which the rate depends on that reactant's concentration.
    • The sum of the powers represents the overall order of the reaction.

    Expressions of Reaction Rates

    • For a general reaction aA + bB → cC + dD, the reaction rate can be expressed in equivalent ways:

    • (1/a) * d[A]/dt* = (1/b) * d[B]/dt = (1/c) * d[C]/dt = (1/d) * d[D]/dt

    • Consider the reaction 2N₂O₅ --> 4NO₂ + O₂;

    • Rate of disappearance of N₂O₅: - Δ[N₂O₅]/Δt

    • Rate of formation of NO₂: Δ[NO₂]/Δt

    • Rate of formation of O₂: Δ[O₂]/Δt

    Zero-order Reactions

    • In a zero-order reaction, the rate is independent of the reactant concentration and is constant over time.
    • Rate = k e.g. decomposition of HI(g) on a gold catalyst; 2 HI(g) → H₂(g) + I₂(g)

    First-order Reactions

    • In a first-order reaction, the reaction rate is proportional to the concentration of one of the reactants.
    • Rate = k[A] Example: 2N₂O₅(g) → 4NO₂(g) + O₂(g)

    Second-order Reactions

    • In a second-order reaction, the reaction rate is proportional to the square of the concentration of one reactant or the product of the concentrations of two different reactants.
    • Rate = k[A]² or Rate = k[A][B] Example: 2NO₂(g) → 2NO(g) + O₂(g)

    Determination of Rate Law Using Initial Rate

    • Experimental data are used to determine reaction orders.

    Integrated Rate Law

    • A graphical method is used to derive the rate law of a reaction using plots of concentration or logarithm of concentration vs time.
    • For a zero-order reaction, a plot of [A] vs time is linear with a slope of -k, a plot of ln[A] vs time is non-linear, and a plot of 1/[A] vs time is non-linear.
    • For a first-order reaction, a plot of ln[A] vs time is linear with a slope of -k, a plot of [A] vs time is non-linear, and a plot of 1/[A] vs time is non-linear.
    • For a second-order reaction, a plot of 1/[A] vs time is linear with a slope of k, a plot of [A] vs time is non-linear, and a plot of ln[A] vs time is non-linear.

    Half-Life of Reactions

    • Half-life (t1/2) is the time required for the concentration of a reactant to decrease to half its initial value.
    • Zero-order: t1/2 = [R]0 / 2k
    • First-order: t1/2 = 0.693/k
    • Second-order : t1/2 = 1 /k[R]0

    Reaction Mechanism

    • A detailed description of how a reaction occurs at a molecular level.
    • It consists of elementary steps, including intermediates.
    • The sum of elementary steps must equal the overall balanced equation.
    • The mechanism must agree with the experimentally determined rate law.

    Molecularity in Elementary Steps

    • Molecularity is the number of reactant molecules in an elementary step.
    • Unimolecular reactions involve one molecule.
    • Bimolecular reactions involve two molecules.
    • Termolecular reactions involve three molecules.

    Activation Energy

    • Activation energy (Ea) is the minimum energy required for a reaction to occur.
    • Catalysts lower the activation energy, increasing the reaction rate without being consumed in the reaction.
    • The rate of the reaction depends on both the activation energy, and the temperature.

    Catalysts

    • Catalysts are substances that speed up a chemical reaction without being consumed in the reaction.
    • Catalysts function by providing an alternative reaction pathway with lower activation energy.
    • Catalysts do not affect the reaction enthalpy or the equilibrium position.

    Homogeneous Catalysis

    • Homogeneous catalysts are in the same phase as the reactants. (e.g., gaseous reactants with gaseous catalyst; liquid reactants with liquid catalyst)

    Heterogeneous Catalysis

    • Heterogeneous catalysts are in a different phase than the reactants. (e.g., solid catalyst with gaseous reactants)
    • Solid surfaces facilitate the breaking and formation of bonds during the reaction.

    Polyunsaturated, Cis-, and Trans-Fatty Acids

    • Structural details of different types of fatty acids.

    Catalytic Converter

    • Heterogeneous catalysts (Pt, Pd, Rh) used to convert toxic gases (CO & NO) into less harmful gases (CO₂ & N₂) in vehicles.

    Catalytic Reactions in Industrial Processes

    • Examples of catalytic reactions in important industrial processes (e.g., formation of methane from carbon monoxide and hydrogen; formation of methanol from carbon monoxide and hydrogen).

    Enzyme-catalyzed Reactions

    • The mechanism of enzyme-catalyzed reactions using graphical representation of enzymatic processes.

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    Description

    This quiz covers catalysts in chemical reactions, their role in reducing activation energy and the specifics of using solid catalysts. It also tests understanding of instantaneous reaction rates and the setup of rate laws. Questions cover various types of catalysis including enzyme catalysis.

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