Chemical Kinetics and Reaction Rates
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Questions and Answers

What does the negative sign in the rate equation indicate?

  • Reactants are formed.
  • Reactants are consumed. (correct)
  • Products are formed.
  • Products are consumed.

How does an increase in concentration affect the rate of reaction?

  • It decreases the reaction rate due to fewer collisions.
  • It has no effect on the reaction rate.
  • It increases the reaction rate by increasing collision frequency. (correct)
  • It only affects the rate of product formation.

Which factor decreases the activation energy in a chemical reaction?

  • Catalyst (correct)
  • Surface Area
  • Concentration
  • Temperature

What does the rate constant 'k' in the rate law represent?

<p>The speed of the reaction at a given temperature. (D)</p> Signup and view all the answers

In the rate law R = k [A]m[B]n, what do the variables m and n represent?

<p>The orders of the respective reactants A and B. (C)</p> Signup and view all the answers

Which of the following describes the effect of temperature on the rate of reaction?

<p>It increases because more molecules exceed activation energy. (A)</p> Signup and view all the answers

What is the effect of increasing surface area on the rate of reaction?

<p>It increases the number of effective collisions. (C)</p> Signup and view all the answers

What relationship is shown by the rate laws?

<p>The relationship between the rate of reaction and the concentrations of the reactants. (D)</p> Signup and view all the answers

What is the correct description of the reaction between ethyl acetate and water?

<p>It is a pseudo-first order reaction due to excess water. (A)</p> Signup and view all the answers

What is the overall order of the reaction represented by the rate law $R=k[H_2][Br_2]^2$?

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

What is the resulting products of hydrolysis of sucrose with water?

<p>Fructose and glucose. (A)</p> Signup and view all the answers

How is the rate constant affected by temperature?

<p>It is dependent on the temperature of the reaction. (C)</p> Signup and view all the answers

What is the significance of having a large excess of water in rate laws?

<p>It allows simplification of the rate law to a pseudo-first order. (C)</p> Signup and view all the answers

When employing the initial rate method, what does the slope of the log-log plot represent?

<p>The order of reaction with respect to B. (B)</p> Signup and view all the answers

Which method involves having the concentration of all but one reactant in large excess?

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

In the rate law $R = k[A]^2[B]$, what is the order of reactant A?

<p>2 (C)</p> Signup and view all the answers

In the context of rate laws, what is meant by 'integral methods'?

<p>Finding concentrations as a function of time through integration. (D)</p> Signup and view all the answers

What does pseudo-first-order kinetics imply about the concentration of one of the reactants?

<p>It remains constant throughout the reaction. (A)</p> Signup and view all the answers

Which statement accurately describes the rate law for the hydrolysis of sucrose?

<p>It reflects first order kinetics due to excess water. (B)</p> Signup and view all the answers

Which of the following represents a characteristic of the rate law?

<p>Is determined experimentally. (A)</p> Signup and view all the answers

What is the correct way to express the reaction rate for a given concentration of reactant B as stated in the initial rate method?

<p>Ro = k[B]b, where b represents the order of reaction. (D)</p> Signup and view all the answers

What effect does a constant concentration of water have on the reaction involving sucrose?

<p>It simplifies the rate law and maintains first order kinetics. (D)</p> Signup and view all the answers

What is the general expression for a rate law when only one reactant is at large excess?

<p>$R=k'[B]$ (B)</p> Signup and view all the answers

Which of the following orders is NOT a type of reaction order mentioned?

<p>Half order (A)</p> Signup and view all the answers

What is the slope of a plot of [X] vs t for a zeroth order reaction?

<p>-k (C)</p> Signup and view all the answers

For a first order reaction, the half-life is expressed as 𝑡1/2 = 𝑙𝑛2 / 2k. How does the half-life change with concentration?

<p>It is independent of concentration. (C)</p> Signup and view all the answers

What is the relationship of the half-life to the initial concentration in a second order reaction?

<p>It is inversely proportional. (B)</p> Signup and view all the answers

Which of the following correctly describes the plot of 1/[X] vs t for a second order reaction?

<p>It will have a slope of 2k. (D)</p> Signup and view all the answers

What form does the integrated rate law take for a third order reaction?

<p>1/[X]^2 = 1/[X]^2o + 2kt (C)</p> Signup and view all the answers

How is the half-life of a third order reaction characterized in relation to the initial concentration?

<p>Inversely proportional to the square of the initial concentration. (C)</p> Signup and view all the answers

What is the correct expression for the half-life of a zeroth order reaction?

<p>t1/2 = [X]o / 2k (B)</p> Signup and view all the answers

Which characteristic is true for the rate of change of concentration in the zeroth order integrated rate law?

<p>It remains constant throughout the reaction. (C)</p> Signup and view all the answers

Flashcards

Rate of reaction

The rate of change of concentration of a reactant or product in a chemical reaction over time.

Rate law

A mathematical expression that shows the relationship between the rate of reaction and the concentrations of the reactants.

Concentration effect on reaction rate

The rate of a reaction is directly proportional to the concentration of the reactants. Higher concentration means more collisions and a faster rate.

Surface area effect on reaction rate

The rate of a reaction is increased by increasing the surface area available for reactions. More contact points lead to more collisions.

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Temperature effect on reaction rate

Increasing temperature causes molecules to move faster and have more collisions with sufficient energy to react, speeding up the reaction.

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Catalyst

A substance that speeds up a reaction without being consumed. It provides an alternative lower-energy pathway for the reaction.

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Activation energy

The minimum energy required for a reaction to occur.

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Rate constant (k)

A constant that relates the rate of a reaction to the concentrations of the reactants. It's specific to a given reaction.

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Pseudo-first order reaction

A reaction that appears to be first order, even though it actually has a higher order, due to the presence of a reactant in large excess, making its concentration practically constant.

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Initial rate method

A method for determining the rate law of a reaction where the initial rate is measured for different initial concentrations of reactants, while keeping other reactants in excess.

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Order of a reaction

The power to which a reactant's concentration is raised in the rate law, indicating its influence on the overall reaction rate.

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First order reaction

A reaction where the rate is determined primarily by the concentration of one reactant, whose concentration changes significantly while others remain essentially constant.

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Isolation method

A technique in determining the rate law where the concentration of one reactant is kept constant while the concentrations of other reactants are varied.

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Integral methods

Determining the rate law by integrating the differential rate equation, comparing the integrated equation with experimental data to identify the best fit.

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Overall order of a reaction

The sum of the powers to which each reactant concentration term is raised in the rate law. It indicates how the reaction rate changes with changes in reactant concentrations.

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Rate Law of a Reaction

An equation that expresses the relationship between the rate of a reaction and the concentrations of reactants. It's determined experimentally, not from the balanced chemical equation.

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Pseudo-First Order Rate Law

A rate law that appears to be first order due to the assumption that the concentration of one reactant is constant, even though it's not truly constant.

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Zero Order Reaction

A reaction whose rate is independent of the concentration of the reactants. It's rare but can occur when a reaction is limited by another factor, like the rate of surface coverage.

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Fractional Order Reaction

A reaction whose order is a fraction, indicating a more complex relationship between the rate and concentration.

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Determining reaction order using half-lives

A method of determining the order of a reaction by observing the pattern of successive half-lives. For example, the half-life of a zeroth-order reaction is halved with each successive half-life, while the half-life of a first-order reaction remains constant.

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Zeroth-order integrated rate law

In a zeroth-order reaction, the concentration of the reactant decreases linearly with time. The rate of reaction is independent of the initial concentration of the reactant. The plot of [X] vs t will be linear with a slope of -k and intercept [X]o.

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Half-life (t1/2)

The time it takes for the concentration of a reactant to decrease to half its initial value. It is a useful concept to understand the rate and kinetics of a reaction.

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First-order integrated rate law

In a first-order reaction, the concentration of the reactant decreases exponentially with time. The rate of reaction is directly proportional to the initial concentration of the reactant. The plot of ln[X] vs t will be linear with a slope of -k and intercept ln[X]o.

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Second-order integrated rate law

In a second-order reaction, the concentration of the reactant decreases with the square of time. The rate of reaction is proportional to the square of the initial concentration of the reactant. The plot of 1/[X] vs t will be linear with a slope of 2k and intercept 1/[X]o.

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Third-order integrated rate law

In a third-order reaction, the concentration of the reactant decreases with the cube of time. The rate of reaction is proportional to the cube of the initial concentration of the reactant. The plot of 1/[X]^2 vs t will be linear with a slope of 2k and intercept 1/[X]o^2.

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Half-life of a second-order reaction

The half-life of a second-order reaction is inversely proportional to the initial concentration of the reactant. This means that the half-life decreases as the initial concentration increases.

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Half-life of a third-order reaction

The half-life of a third-order reaction is inversely proportional to the square of the initial concentration of the reactant. This means that the half-life decreases even faster than in a second-order reaction as the initial concentration increases.

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Study Notes

Chemical Kinetics

  • Chemical kinetics studies the speed of chemical reactions.
  • Reaction rate is the change in concentration of a reactant or product over time.
  • For a reaction A + B → C + D, the rate of consumption of A or B equals the rate of formation of C and D. This is mathematically represented as: R = - d[A]/dt = - d[B]/dt = d[C]/dt = d[D]/dt.
  • The negative sign indicates reactant consumption, while the positive sign indicates product formation.
  • Instantaneous rate (rate at a specific moment) of a reaction (aA + bB → cC + dD) is expressed as: R = (1/a) * d[A]/dt = (1/b) * d[B]/dt = (1/c) * d[C]/dt = (1/d) * d[D]/dt

Factors Affecting Reaction Rate

  • Concentration: Higher concentration increases effective collisions, thus increasing the reaction rate.
  • Surface Area: A larger surface area provides more reaction sites, leading to more frequent effective collisions and faster reactions.
  • Temperature: Higher temperatures increase the fraction of reacting molecules possessing sufficient energy to overcome the activation energy barrier. This results in a greater number of successful collisions and a faster reaction rate.
  • Catalyst: Catalysts increase reaction rates by lowering the activation energy, providing an alternative reaction pathway.

Rate Laws

  • Rate laws describe the relationship between reaction rate and reactant concentrations.
  • For the reaction aA + bB → cC + dD, the rate law is expressed as: R = k[A]m[B]n.
  • [A] and [B] represent reactant concentrations, k is the rate constant, m is the order of reactant A, and n is the order of reactant B.
  • The overall order of the reaction is m + n.
  • Rate constants and reaction orders are determined experimentally. They are not directly obtainable from the stoichiometric equation.

Determination of Rate Laws

  • Isolation Method: In this method, the concentrations of all reactants except one are kept in large excess. This allows the rate to be approximated by a pseudo-first-order rate law.
  • Initial Rate Method: The reaction rate is measured at the beginning of the reaction for different initial reactant concentrations. This method helps determine the order of each reactant.

Integrated Rate Laws

  • Integrated rate laws express reactant concentrations as a function of time.
  • Zero-order reaction: [X] = [X]0 -kt
  • First-order reaction: ln[X] = ln[X]0 -kt
  • Second-order reaction: 1/[X] = 1/[X]0 + kt
  • Third-order reaction: Requires a more complex equation (not fully explained in the text).

Half-Lives

  • Half-life is the time required for the concentration of a reactant to decrease to half its initial value.
  • Zero-order half-life is proportional to the initial concentration.
  • First-order half-life is constant (independent of initial concentration).
  • Second-order half-life is inversely proportional to the initial concentration.
  • Third-order half-life is inversely proportional to the square of the initial concentration.

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This quiz covers the essential concepts of chemical kinetics, focusing on the speed of chemical reactions and the various factors influencing reaction rates. Understand how concentration, surface area, and temperature impact the rate of reactions and the mathematical representation behind it.

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