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Questions and Answers

What is one primary reason for studying the rates of reaction in chemical kinetics?

  • To determine the final products of a reaction
  • To identify reactants in a reaction
  • To better understand reaction mechanisms (correct)
  • To calculate the equilibrium constant

How does increasing concentration affect the rate of a chemical reaction?

  • It changes the activation energy required for the reaction
  • It has no effect on the reaction rate
  • It decreases the vibrational energy of the molecules
  • It increases the frequency of molecular collisions (correct)

What is the role of catalysts in chemical reactions?

  • To initiate a reaction only at high temperatures
  • To increase the rate of reaction by providing an alternative pathway (correct)
  • To completely change the products of a reaction
  • To slow down the reaction rate for better control

What does the collision theory state regarding the rate of reaction?

<p>The rate of reaction depends on the frequency of collisions with sufficient energy (B)</p> Signup and view all the answers

Which of the following statements about temperature's effect on reaction rates is true?

<p>Increasing temperature raises the energy of molecules, enhancing reaction rates (A)</p> Signup and view all the answers

What happens to the reaction rate when the concentration of reactant [A] is doubled for a first-order reaction?

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

For a second-order reaction, what is the relationship between the concentration of reactant [A] and the rate constant k when [A] is tripled?

<p>k is increased nine-fold. (B)</p> Signup and view all the answers

What is the overall reaction order in the reaction: F₂ + 2ClO₂ → 2ClO₂F if both reactants are first-order?

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

Which of the following statements about the units of the rate constant k is correct for a second-order reaction?

<p>Units are 1/(M·s). (D)</p> Signup and view all the answers

What does the rate law express in a chemical reaction?

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

What effect does a catalyst have on the activation energy of a reaction?

<p>Decreases the activation energy (B)</p> Signup and view all the answers

Which of the following substances can act as a catalyst?

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

How does an increase in temperature affect the fraction of molecules that can react?

<p>Increases the fraction of reactive molecules (D)</p> Signup and view all the answers

What does the symbol 'R' represent in the equation for the rate constant?

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

What happens to the position of equilibrium when a catalyst is introduced in a reaction?

<p>It does not change (A)</p> Signup and view all the answers

In the context of chemical kinetics, what does the term 'Ea' stand for?

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

At which temperature does the fraction of molecules capable of reacting, specifically with an activation energy of 50,000 J/mol, significantly increase?

<p>Higher than 303 K (A)</p> Signup and view all the answers

What is the primary factor that affects the rate constant 'k' in the equation k = A e^{-Ea/RT}?

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

What does the Maxwell-Boltzmann distribution indicate about gas molecules?

<p>Many molecules lack sufficient energy to react. (C)</p> Signup and view all the answers

How does increasing the temperature affect the number of particles capable of reacting?

<p>It increases the fraction of particles that can react. (B)</p> Signup and view all the answers

What does the variable 'k' in the Arrhenius equation represent?

<p>The kinetic rate constant. (D)</p> Signup and view all the answers

Which statement about activation energy (Ea) is correct?

<p>It determines the speed of a chemical reaction. (D)</p> Signup and view all the answers

What can be deduced from varying experiments regarding the rate constant 'k'?

<p>It is influenced by the activation energy and temperature. (A)</p> Signup and view all the answers

In the Arrhenius equation, what does the letter 'R' stand for?

<p>The universal gas constant. (C)</p> Signup and view all the answers

What effect does temperature have on the average energy of particles in a system?

<p>It increases the average energy of the particles. (C)</p> Signup and view all the answers

What does the term 'shelf life' refer to in the context of the Arrhenius equation?

<p>The duration a product remains safe for consumption. (C)</p> Signup and view all the answers

How does the Arrhenius equation help in understanding chemical reactions?

<p>It shows how temperature and activation energy affect reaction rates. (B)</p> Signup and view all the answers

What is the primary consequence of increasing the temperature in a reaction system?

<p>It increases the kinetic energy of molecules. (A)</p> Signup and view all the answers

What predominantly influences the rate of collision for a gas?

<p>The pressure of the gas (A)</p> Signup and view all the answers

How does surface area affect the rate of a chemical reaction?

<p>Increased surface area increases the collision rate (B)</p> Signup and view all the answers

Why is correct molecular orientation important in chemical reactions?

<p>Only certain collisions will lead to a reaction (D)</p> Signup and view all the answers

How does temperature affect molecular speed?

<p>Higher temperature increases molecular speed (A)</p> Signup and view all the answers

What is the average energy of molecules at 20°C approximately?

<p>4 kJ/mol (C)</p> Signup and view all the answers

What relationship does the activation energy have with the transition state?

<p>Higher activation energy causes greater distortion of molecular shape (D)</p> Signup and view all the answers

What is the average reaction success rate for complex reactions?

<p>1 in 1,000,000 (B)</p> Signup and view all the answers

Which of the following factors do NOT influence the collision rate?

<p>Color of reactants (D)</p> Signup and view all the answers

What is true about the energy barrier for most reactions?

<p>It is typically between 50 and 100 kJ/mol (B)</p> Signup and view all the answers

In the reaction of Mg(s) with H+, how does surface area impact the reaction?

<p>More surface area increases the likelihood of reactions (B)</p> Signup and view all the answers

What is the order of the reaction with respect to reactant A when the rate equation is rate = k[A]?

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

In an SN1 reaction involving tert-butyl chloride and hydroxyl anion, what is the overall effect of increasing the concentration of OH- on the reaction rate?

<p>It does not affect the overall rate (D)</p> Signup and view all the answers

Which statement accurately describes the overall order of reaction when both reactants A and B are included in the rate equation rate = k[A][B]?

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

For the SN2 reaction involving chloromethane and hydroxyl anion, what can be inferred about the order with respect to both reactants?

<p>Second order for both chloromethane and hydroxyl anion (D)</p> Signup and view all the answers

In the reaction rate = k[B]^2, what is the order of reaction with respect to B?

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

What is the order of the SN1 reaction with respect to (CH3)3CBr?

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

When the slow step of a reaction mechanism is first, which statement is true regarding the order of the reaction with respect to each reactant involved?

<p>Both reactants contribute to the rate (C)</p> Signup and view all the answers

What can be concluded from the rate equation rate = k[B]^2 regarding the behavior of reactant B?

<p>The rate is directly proportional to the square of [B] (C)</p> Signup and view all the answers

What is the primary purpose of studying the rates of reaction in chemical kinetics?

<p>To understand reaction mechanisms and optimize reaction conditions (D)</p> Signup and view all the answers

Which of the following factors is NOT directly related to the collision rate in chemical reactions?

<p>Volume of the reaction vessel (D)</p> Signup and view all the answers

In the context of chemical kinetics, what does an increase in concentration imply about reaction order?

<p>The reaction order is dependent on the rate of collisions, influenced by concentration (D)</p> Signup and view all the answers

Which of the following best describes the relationship between temperature and the rate of reaction according to collision theory?

<p>Increased temperature results in higher vibrational energy and more effective collisions (B)</p> Signup and view all the answers

How does the introduction of a catalyst function in a chemical reaction?

<p>By lowering the activation energy through an alternative reaction pathway (B)</p> Signup and view all the answers

How does the collision rate change in a gas when pressure is increased?

<p>Collision rate increases. (C)</p> Signup and view all the answers

What is the relationship between temperature and molecular speed as described by kinetic theory?

<p>Higher temperatures result in increased molecular speeds. (C)</p> Signup and view all the answers

What is the typical activation energy range for many chemical reactions?

<p>50 – 100 kJ/mol (B)</p> Signup and view all the answers

In complex reactions, what is the likelihood of successful reactions occurring based on collisions?

<p>1 in 105 (D)</p> Signup and view all the answers

Which factor is NOT considered to be directly affected by the activation energy in a reaction?

<p>Concentration of reactants (C)</p> Signup and view all the answers

What does the Maxwell-Boltzmann distribution illustrate in the context of gas reactions?

<p>The energy distribution of molecules and their ability to react. (D)</p> Signup and view all the answers

At what temperature is the average energy of molecules approximately 4 kJ/mol?

<p>20°C (C)</p> Signup and view all the answers

How does the increase in surface area affect the rate of a reaction?

<p>It increases the rate of reaction by providing more area for collisions. (D)</p> Signup and view all the answers

What can be concluded when both A and B participate in the slow step of a reaction mechanism?

<p>A and B both influence the reaction rate. (A)</p> Signup and view all the answers

When the slow step is not first in the mechanism, how is the rate expression affected?

<p>A new rate expression is derived using equilibrium concentrations. (B)</p> Signup and view all the answers

What must be true for a reaction mechanism if the observed reaction order is first with respect to A and B?

<p>Both A and B must be involved in the slow step. (C)</p> Signup and view all the answers

How can one derive a new rate equation when a reactant involved in the slow step is not initially present?

<p>By using the equilibrium concentration of the reactant. (C)</p> Signup and view all the answers

Why is mechanism 1 ruled out in the provided scenario based on the slow step analysis?

<p>The slow step does not involve reactant B. (D)</p> Signup and view all the answers

What is the overall order of the reaction when the rate law is expressed as rate = k[A][B]?

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

In the rate equation rate = k[B]^2, how does the concentration of B affect the rate of reaction?

<p>Doubling the concentration of B quadruples the rate. (B)</p> Signup and view all the answers

What characteristic defines an SN1 reaction based on the given information?

<p>It involves a rate-determining unimolecular step. (A)</p> Signup and view all the answers

How does doubling the concentration of [H+] influence the rate of a reaction if the rate quadruples?

<p>The reaction is second order with respect to [H+]. (B)</p> Signup and view all the answers

In the SN2 reaction of chloromethane and a hydroxyl anion, which of the following statements about the rate law is accurate?

<p>The reaction exhibits second order with respect to both chloromethane and OH-. (C)</p> Signup and view all the answers

Which statement correctly explains how reaction rates change when concentrations of reactants are increased for a second-order reaction?

<p>The rate increases exponentially when both reactant concentrations are increased. (A)</p> Signup and view all the answers

In which scenario does increasing the concentration of a reactant NOT lead to an increased reaction rate?

<p>When it is a zero-order reaction. (D)</p> Signup and view all the answers

Which of the following is true about the rate law derived from a unimolecular step in the reaction mechanism?

<p>The rate law for the rate-determining step will only be based on the species involved in that step. (C)</p> Signup and view all the answers

What is the overall order of the reaction for F₂ + 2ClO₂ → 2ClO₂F based on the experimental data?

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

How does the rate constant k relate to the units of reaction order in chemical kinetics?

<p>Units of k must change with reaction order to maintain consistent rate units. (A)</p> Signup and view all the answers

What happens to the initial rate of reaction when the concentration of ClO₂ is quadrupled if the reaction order with respect to ClO₂ is 1?

<p>The rate quadruples. (B)</p> Signup and view all the answers

In the rate law for the reaction aA + bB + cC → dD + eE, which term represents the overall reaction order?

<p>a + b + c (D)</p> Signup and view all the answers

What is the effect on the rate of reaction, when the concentration of reactant A in a first-order reaction is tripled?

<p>The rate triples. (A)</p> Signup and view all the answers

If the rate of a second-order reaction is increased when the concentration of one reactant is doubled, what happens to the rate when both reactants are increased by a factor of two?

<p>The rate increases four-fold. (B)</p> Signup and view all the answers

What is a key requirement for the rate constant k in relation to the initial rate of reaction and concentration of reactants?

<p>Units of k must allow computation of rate when multiplied by concentrations. (C)</p> Signup and view all the answers

If the initial rate of a reaction is expressed as rate = k[A][B], how will the rate change if the concentration of both A and B are halved?

<p>Rate decreases to one-fourth. (D)</p> Signup and view all the answers

What does the frequency factor (A) in the Arrhenius equation represent?

<p>The number of successful collisions per unit time (C)</p> Signup and view all the answers

How does a catalyst affect the activation energy (Ea) of a reaction?

<p>It decreases the activation energy needed for the reaction (B)</p> Signup and view all the answers

Which of the following statements about molecularity is correct?

<p>Molecularity must represent an integer value (A)</p> Signup and view all the answers

In the context of chemical kinetics, what is the primary function of enzymes?

<p>They act as catalysts in biological reactions (B)</p> Signup and view all the answers

What represents the fraction of molecules with sufficient energy to react in the Arrhenius equation?

<p>e^{-Ea/RT} (B)</p> Signup and view all the answers

Why is the term 'shelf life' relevant to the Arrhenius equation?

<p>It signifies the time a product remains effective before decomposition (A)</p> Signup and view all the answers

Which of the following describes the impact of a 10°C increase in temperature on the reaction rate?

<p>The fraction of reacting molecules nearly doubles (B)</p> Signup and view all the answers

In a multi-step reaction, which term best describes the rate of the overall process?

<p>It is determined by the fastest elementary step (B)</p> Signup and view all the answers

What is the significance of the gas constant (R) in the Arrhenius equation?

<p>It relates temperature to the energy of particles (C)</p> Signup and view all the answers

Flashcards

Chemical Kinetics

The study of reaction rates and factors influencing them, providing insights into how reactions occur.

Reaction Mechanism

The pathway a reaction takes, involving the steps that lead from reactants to products.

Reaction Rate

The rate at which reactants are consumed or products are formed in a given time period.

Rate Constant (k)

A measure of how fast the reaction proceeds, influenced by temperature, activation energy, and the concentration of reactants.

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Activation Energy (Ea)

The minimum amount of energy that must be possessed by colliding molecules for a reaction to occur.

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Effect of Concentration on Reaction Rate

The increase in collision frequency leads to a higher chance of effective collisions, accelerating the reaction rate.

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Effect of Temperature on Reaction Rate

The rate constant increases exponentially with temperature. Higher temperatures mean more molecules have sufficient activation energy.

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Catalyst

A substance that speeds up a reaction without being consumed in the process, providing an alternative pathway with a lower activation energy.

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Collision Theory

The theory states that for a reaction to occur, molecules must collide with sufficient energy and proper orientation.

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Rate Law

The relationship between the concentrations of reactants and the reaction rate.

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Order of Reaction

The sum of the exponents of each reactant's concentration term in the rate law.

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First-Order Reaction

A reaction where the rate is proportional to the concentration of only one reactant raised to the first power.

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Second-Order Reaction

A reaction where the rate is proportional to the square of the concentration of one reactant.

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Fraction of Reactive Molecules

The fraction of molecules in a given sample that have energy greater than or equal to activation energy.

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Maxwell-Boltzmann Distribution

A model that describes the distribution of kinetic energies among molecules in a gas at a given temperature.

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Significant Temperature

The temperature at which the fraction of molecules with sufficient energy to react becomes significant.

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Arrhenius Equation

An equation that relates the rate constant (k) to temperature, activation energy (Ea), and the gas constant (R).

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Rate Equation (Rate Law)

A mathematical equation which tells you the rate at which a chemical reaction occurs. The rate constant “k” represents the speed of the reaction.

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Multi-Step Reaction

A chemical reaction that occurs in multiple steps, with each step having its own rate.

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Rate-Determining Step

The slowest step in a multi-step reaction determines the overall rate of the reaction.

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Zero-Order Reaction

A reaction where the rate is proportional to the concentration of one reactant raised to the zero power.

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Rate-Determining Reactant

The reactant that appears in the rate law.

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Complex Reaction

A chemical reaction where the rate is affected by the presence of other reactants.

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SN1 Reaction

A type of reaction mechanism that involves a two-step process, the first step being slow (rate-determining)

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SN2 Reaction

A type of reaction mechanism that involves a one-step process, where the rate is dependent on the concentrations of both reactants.

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Order of Reaction (with respect to a reactant)

In a reaction involving two reactants, the order with respect to each reactant is the exponent of the concentration term in the rate law.

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First-Order with Respect to a Reactant

The rate of a reaction is doubled when the concentration of a reactant is doubled; first order with respect to that reactant.

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Second-Order with Respect to a Reactant

The rate of a reaction is quadrupled when the concentration of a reactant is doubled; second order with respect to that reactant.

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Zero-Order with Respect to a Reactant

The rate of a reaction is not affected by the concentration of a reactant; zero order with respect to that reactant.

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Zero Order

The reaction rate is not affected by the presence of the reactant. Doubling the concentration of the reactant has no effect on the rate.

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Activation Energy

The minimum energy required for reactant molecules to collide effectively and form products.

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Effect of Pressure on Reaction Rate

The rate of a reaction increases when the pressure of a gaseous reactant increases, similar to how increasing concentration increases the rate.

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Effect of Molecular Orientation

For a reaction to occur, molecules must collide with the correct orientation (arrangement of atoms) for the formation of the transition state.

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Effect of Temperature on Molecular Speed

The average speed of molecules increases with temperature, leading to more frequent and energetic collisions, thus a faster reaction.

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Energy Barrier

Energy barrier or minimum energy required for molecules to react effectively, typically in the range of 50-100 kJ/mol.

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Temperature and Activation Energy

At higher temperatures, a greater proportion of molecules have enough energy to overcome the activation energy, resulting in a faster reaction rate.

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Molecularity

The number of molecules involved in an individual step of a reaction mechanism.

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Unimolecular Reaction

A reaction that involves one molecule in the rate-determining step, so its rate is directly proportional to the concentration of that molecule.

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Overall Order of Reaction

The sum of the exponents of all reactants' concentrations in the rate law.

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Reaction order (with respect to a reactant)

The power to which a reactant's concentration is raised in the rate law. It determines how the rate changes as that reactant's concentration changes.

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Overall reaction order

The overall order of a reaction is the sum of all the individual reaction orders for each reactant in the rate law.

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Rate equation

A rate equation describes how the rate of a reaction depends on the concentrations of the reactants.

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Study Notes

Chemical Kinetics: Rate & Order of Reaction

  • The topic is chemical kinetics, specifically focusing on reaction rates and orders.
  • The lecture is delivered by Dr. Stephen Childs, a Senior Lecturer in Pharmaceutical Chemistry at the University of Sunderland.
  • Contact information for Dr. Childs is provided.
  • Recommended reading material is Atkins' Physical Chemistry, Chapters 21.2 - 21.5 (9th Edition).

Why Study Reaction Rates?

  • Understanding reaction mechanisms (e.g., SN1 and SN2).
  • Optimizing reaction rates to improve yields and reduce byproducts.
  • Minimizing drug degradation and improving shelf-life (e.g., pH-dependent hydrolysis of aspirin).
  • Understanding what drives a reaction forward (e.g., H2 + 1/2 O2 → H2O; ΔH = -286 kJ/mol).

What Affects Reaction Rate?

  • Physical state: Many relevant reactions occur in solution.
  • Concentration: Molecules must collide to react; increased concentration leads to increased collision frequency.
  • Temperature: Higher temperature increases collision frequency and vibrational energy of bonds.
  • Catalysts: Catalysts provide alternative reaction mechanisms with lower activation energies.

Collision Theory

  • Reaction rate depends on the frequency of collisions with sufficient energy to react.
  • Factors influencing collision rate include:
    • Concentration: Increased concentration = increased collision frequency, depending on the order of the reaction.
    • Pressure (for gases): Increased pressure increases the reaction rate due to increased collisions.
    • Surface area: Larger surface area leads to higher collision rates.
    • Molecular orientation: Correct orientation is essential for successful collisions
    • Temperature: Increased temperature leads to greater molecular speeds and more frequent high-energy collisions.

Effect of Surface Area

  • Collision rate depends on the available surface area.
  • Example: Mg(s) + 2H+(aq) → Mg2+(aq) + H2(g).

Effect of Molecular Orientation

  • Not all collisions result in a reaction.
  • Correct molecular orientation is important, particularly in complex reactions.
  • Example: HCl and ethene (electrophilic addition) - orientational collisions only occur in ~1/105

Effect of Molecular Speed

  • Collision rate depends on molecular speed.
  • Temperature affects molecular speed, as per kinetic theory of gases.
  • Formula: Vrms = √(3RT/M) (Vrms = root mean square speed, R is ideal gas constant, T temperature, M mass).

Activation Energy

  • Energy barrier associated with the transition state.
  • Molecular shape distortion during the transition state.
  • Energy barriers (~50-100 kJ) are necessary for reactions, despite the average energy at temperatures (~4 kJ approx).
  • Only a small fraction of molecules (about 1 in 109) have enough energy to overcome the barrier.

Maxwell-Boltzmann Distribution

  • For gases, the number of molecules with sufficient energy to react can be represented by a curve.
  • The area under the curve at higher energies corresponds to the reactant molecules with sufficient energy to undergo reaction.

Effect of Temperature

  • Increasing temperature significantly increases the number of particles exceeding the activation energy.

Arrhenius Equation

  • Increasing temperature increases the rate constant (k).
  • Relating k to temperature, the Arrhenius equation is: k = Ae-Ea/RT.
  • Variables include:
    • k: Rate constant
    • A: Frequency factor (pre-exponential factor)
    • Ea: Activation energy
    • R: Gas constant (8.3145 J mol-1 deg-1) -T: Absolute temperature (in Kelvin).

Effect of Temperature II

  • Assuming a certain activation energy and temperatures, the fraction of molecules with sufficient energy to react increases significantly with just a slight increase in temperature.

Catalysts

  • Catalysts increase reaction rates without being consumed.
  • Provide a lower activation energy pathway.
  • Example: Acid-catalyzed hydrolysis of esters and chlorine radicals catalyzing ozone decomposition.

Catalysts II

  • Catalysts do not alter the equilibrium position of a reaction.
  • Do not change the overall Gibbs free energy change (ΔG).
  • Enzymes, as biological catalysts, are proteins

Rate of Reaction

  • Measuring reactant concentration changes over time.
  • Change in reactant concentration
  • Change in product concentration

Measuring Rates of Reaction

  • The provided graph illustrates the progression of a reaction over time using the concentration of reactant A ([A]) as the dependent variable.

Chemical Reactions II

  • Most reactions are multi-step processes.
  • Example: A multi-step NOx reaction.
  • Molecularity: Number of molecules involved in an elementary step.
  • Unimolecular; bimolecular; termolecular: Based upon the number of molecules.

Rate of Reaction II

  • What happens when you increase the reactant concentration ([A])?
  • Rate independent of [A]: The rate is not affected by changes in concentration [A] if the rate law is independent of [A].
  • First-order reactions: Doubling [A] doubles the rate
  • Second-order reactions: Doubling [A] quadruples the rate.

Reaction Order (i)

  • Rate Multiplication, Reaction Order, Rate constant (k) units in table format.
  • The rate law is the sum of reactant orders.
  • Example reaction:aA+bB+cC−→dD+eE, rate = k[A]x [B]y[C]zwhere x, y and z are the orders of A, B, and C respectively.

Reaction Order II

  • Graphs visually depicting the change in reactant concentration over time for zero, first, and second-order reactions.

Reaction Order III

  • Example (F2+2ClO2→2ClO2F) demonstrating determining reaction orders from experimental data.
  • Determining rate laws for reactions based on experimental data, and calculate the overall order of the reaction.

Reaction Order IV

  • Example (BrO3- + 5Br + 6H+ —> 3Br2 + 3H2O), illustrating determining reaction order from data.
  • Determining rate laws for reactions based on experimental data, and calculate the overall order of the reaction.

Rate Law Examples

  • The reaction rate between A + B.
  • Rates as a function of reactant concentration.
  • Examples of different reaction orders (first, second, zero, etc.).

Reaction Mechanisms I

  • SN1 reaction (tert-butyl chloride and hydroxyl anion).
  • Determining reaction rate orders to deduce the reaction mechanism.
  • Unimolecular mechanism (step 1 - rate-determining).
  • Fast reactions that don’t affect overall reaction rates (step 2).

Reaction Mechanisms II

  • SN2 reaction (chloromethane and hydroxyl anion).
  • Bimolecular reaction.

Determining Mechanisms I

  • Determining the correct reaction mechanism by using the reaction order, and which mechanism fits the reaction.

Determining Mechanisms II

  • Analyzing reaction mechanisms where the rate-determining step is not the first step.
  • Rate and equilibrium constants that can be used to determine a rate.
  • Obtaining an overall rate from equilibrium constant and initial rate law.

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