Chemical Kinetics
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Questions and Answers

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

  • To determine the molecular weight of reactants
  • To identify the colors of reactants
  • To calculate the volumes of gases produced
  • To better understand reaction mechanisms (correct)

How does increasing the concentration of reactants affect the rate of reaction?

  • It increases the frequency of collisions between molecules (correct)
  • It leads to a constant reaction rate regardless of concentration
  • It decreases the frequency of collisions between molecules
  • It has no significant impact on the reaction rate

Which factor is NOT mentioned as affecting the reaction rate?

  • Temperature
  • Pressure (correct)
  • Physical state
  • Catalysts

What role do catalysts play in a chemical reaction?

<p>They provide an alternative reaction mechanism (D)</p> Signup and view all the answers

What does collision theory state about the rate of a reaction?

<p>It relies on the frequency of collisions with sufficient energy (A)</p> Signup and view all the answers

Which rate expression is derived when the slow step is not the first in the mechanism?

<p>Rate = K[A][B]² (A)</p> Signup and view all the answers

What indicates that both A and B are involved in the slow step of a reaction mechanism?

<p>First order with respect to both A and B (A)</p> Signup and view all the answers

If a mechanism produces an intermediate that cannot be measured directly, what must be done?

<p>Derive a new rate equation based on equilibrium (B)</p> Signup and view all the answers

In the originally presented reaction mechanisms, which mechanism cannot be correct based on the information provided?

<p>Mechanism 1 (C)</p> Signup and view all the answers

What does the equilibrium constant expression Kc indicate in terms of reactant concentrations?

<p>It relates concentrations of products to reactants (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 (C)</p> Signup and view all the answers

Doubling the concentration of [BrO3-] affects the reaction rate in what way?

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

In the SN1 reaction mechanism, which step is characterized as unimolecular?

<p>Step 1 (B)</p> Signup and view all the answers

If the rate law is rate = k[B]², what can be concluded about the order with respect to B?

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

In an SN2 reaction, how does the presence of [OH-] affect the rate of the reaction?

<p>It increases the rate linearly (B)</p> Signup and view all the answers

For a reaction governed by rate = k[A], what order reaction is it with respect to A?

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

What determines the rate-determining step in the SN1 reaction mechanism?

<p>The unimolecular step (C)</p> Signup and view all the answers

When doubling [H+] results in the reaction rate quadrupling, what does this indicate about its order?

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

How does pressure affect the rate of a gas reaction?

<p>It increases the reaction rate. (D)</p> Signup and view all the answers

What is the primary reason that not all molecular collisions lead to a reaction?

<p>Not all collisions have sufficient energy. (A)</p> Signup and view all the answers

Which statement about molecular orientation in reactions is true?

<p>Correct orientation is necessary for reactions to occur. (B)</p> Signup and view all the answers

What effect does temperature have on molecular speed?

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

What is the typical energy barrier for most chemical reactions?

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

At what speed would a molecule with a mass of 120 amu move at 20°C according to the given data?

<p>247 m/s (C)</p> Signup and view all the answers

How does increasing temperature affect the number of reacting particles?

<p>It relatively increases the number of particles with sufficient activation energy. (A)</p> Signup and view all the answers

What does the Maxwell-Boltzmann distribution represent in reactions?

<p>Number of molecules with sufficient energy to react. (B)</p> Signup and view all the answers

What is the rate law expression for the reaction where doubling [Fâ‚‚] and [ClOâ‚‚] each doubles the rate?

<p>k[Fâ‚‚]^1[ClOâ‚‚]^1 (B)</p> Signup and view all the answers

If the rate constant (k) has units of M/s, what is the reaction order if the units of k are defined as 1/(M*s)?

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

Given the rate equation k[Fâ‚‚][ClOâ‚‚], what is the overall reaction order?

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

When the concentration of [A] is tripled, which correctly describes the effect on the rate if the rate law is Rate = k[A]^2?

<p>Rate becomes 9 times greater (B)</p> Signup and view all the answers

In the reaction F₂ + 2ClO₂ → 2ClO₂F, if doubling [ClO₂] leads to a quadrupling of the rate, what is the order with respect to [ClO₂]?

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

What effect does increasing [A] have on the reaction rate if the rate is independent of [A]?

<p>Rate remains unchanged (D)</p> Signup and view all the answers

For the reaction order of BrO3- + 5Br- + 6H+ → 3 Br2 + 3H2O, if the order with respect to [BrO3-] is found to be 1, what could be a likely order for [Br-] if its increase does not affect the rate?

<p>0th order (C)</p> Signup and view all the answers

What happens to the rate if the rate constant (k) is doubled while keeping the concentrations constant?

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

What does the Arrhenius equation indicate about the relationship between temperature and the kinetic rate constant (k)?

<p>A higher temperature results in a higher rate constant. (D)</p> Signup and view all the answers

Which component of the Arrhenius equation represents the energy required for a reaction to occur?

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

What effect do catalysts have on the activation energy of a reaction?

<p>They provide an alternative pathway with lower activation energy. (A)</p> Signup and view all the answers

Which of the following statements is true regarding the role of catalysts in chemical reactions?

<p>Catalysts do not affect the final equilibrium position of a reaction. (A)</p> Signup and view all the answers

What is the molecularity of a reaction step involving three reactant molecules?

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

In the Arrhenius equation, what does the exponential term $e^{-Ea/RT}$ represent?

<p>The fraction of molecules with sufficient energy to react. (C)</p> Signup and view all the answers

If the activation energy (Ea) is 50,000 J/mol, how is the rate of reaction affected by an increase in temperature from 293 K to 303 K?

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

Which statement best describes enzymes?

<p>Enzymes are biological catalysts that facilitate reactions in living organisms. (C)</p> Signup and view all the answers

What happens to the rate of a reaction as the concentration of reactants decreases over time?

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

Why is molecularity not the same as reaction order?

<p>Molecularity is based on the stoichiometry of elemental steps, while reaction order pertains to the overall reaction. (A)</p> Signup and view all the answers

Flashcards

Reaction Rate

The speed at which reactants are converted into products.

Rate Law

A chemical reaction's rate is dependent on the concentration of reactants raised to a specific power (the order).

Order of a Reaction

The sum of the exponents in the rate law. It tells you how much the rate increases with a change in concentration.

Catalyst

A substance that speeds up a reaction without being consumed in the process.

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Activation Energy

The minimum energy that molecules must possess to undergo a reaction.

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Rate Determining Step

A chemical reaction where the slowest step determines the overall rate of the reaction. In a multi-step reaction, the slowest step acts as a bottleneck, limiting how quickly the reaction can proceed.

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Rate Law for Multi-Step Reactions

A chemical reaction mechanism where the rate law is based on the rate of the slowest step, even if it's not the first step in the mechanism.

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Bimolecular Step

A step in a chemical reaction mechanism that involves the collision of two molecules. The rate of a bimolecular step depends on the concentrations of both reactants.

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Reaction Mechanism

A series of elementary steps that describe the overall course of a chemical reaction. Each step represents an individual molecular event, and the mechanism provides a detailed picture of how reactants are transformed into products.

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Reaction Order

The exponent of a reactant's concentration in the rate law. It indicates how the rate changes when the concentration of that reactant is altered.

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Rate Constant (k)

The constant of proportionality in the rate law. It reflects the intrinsic speed of the reaction at a given temperature.

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Overall Reaction Order

The sum of the individual reaction orders for all reactants. It indicates the overall sensitivity of the rate to changes in reactant concentrations.

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Method of Initial Rates

A method used to determine the order of a reaction by examining how the rate changes as reactant concentrations are varied systematically. Experimentally measuring the initial rate at different starting concentrations of reactants.

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First Order Reaction

The rate of a reaction is directly proportional to the concentration of the reactant raised to the power of 1. Doubling the concentration doubles the rate.

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Second Order Reaction

The rate of a reaction is directly proportional to the square of the concentration of the reactant. Doubling the concentration quadruples the rate.

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Zero Order Reaction

The rate of a reaction is independent of the concentration of the reactant. The rate remains constant even if the concentration of the reactant changes.

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How does pressure affect reaction rate?

For a gas, the rate of reaction increases with pressure. This effect is similar to how reaction rate is affected by concentration.

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Surface area and reaction rates

The rate of a reaction is influenced by the available surface area of the reactants. A larger surface area allows for more collisions between molecules, leading to a faster reaction. This is why powdered magnesium reacts faster with acid than a magnesium block.

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Molecular orientation and reaction rates

For a reaction to occur, molecules must collide with the correct orientation. This means they must align in a specific way so that the reactive parts contact each other. Complex molecules have lower chances of colliding with the correct orientation, hence they often have slower reaction rates.

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Temperature and reaction rate

Temperature directly affects molecular speed, and therefore the rate of reaction. Higher temperatures lead to faster moving molecules, causing more frequent and energetic collisions.

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Transition state

The energy barrier that reactants must overcome in order to form products. It represents the energy required to break and form bonds during the reaction.

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Maxwell-Boltzmann distribution

This distribution describes the number of molecules at different energy levels in a sample. It shows that at a given temperature, only a small fraction of molecules have enough energy to overcome the activation energy and react.

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How does temperature affect the Maxwell-Boltzmann distribution?

Increasing the temperature increases the number of molecules with sufficient energy to overcome the activation energy. This results in a faster reaction rate.

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Determining Order of Reaction

The order of a reaction with respect to a specific reactant is determined by how much the rate changes when the concentration of that reactant is doubled. If the rate doubles, the reaction is first order with respect to that reactant. If the rate quadruples, the reaction is second order with respect to that reactant.

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Overall Order of Reaction

The overall order of a reaction is the sum of the individual orders with respect to each reactant. For example, a reaction that is first order with respect to A and second order with respect to B has an overall order of 3.

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SN1 Reaction

SN1 reactions are unimolecular, meaning they are first order with respect to the substrate. The rate-determining step is the dissociation of the substrate, which occurs in two steps: the formation of a carbocation intermediate and the reaction of the carbocation with the nucleophile.

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SN2 Reaction

SN2 reactions are bimolecular, meaning they are first order with respect to the substrate. The rate-determining step is the concerted attack of the nucleophile on the substrate, which occurs in one step.

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Elementary Reaction Rate Law

The rate law for an elementary reaction is determined directly from the stoichiometry of the reaction. The rate law for the elementary step is written as the product of the rate constant and the concentrations of the reactants raised to their stoichiometric coefficients.

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Rate of Reaction

A measure of how fast a chemical reaction proceeds. It quantifies the change in concentration of reactants or products over time.

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Arrhenius Equation

The Arrhenius equation is a mathematical expression that describes the relationship between the rate constant of a reaction, activation energy, and temperature.

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Frequency Factor (A)

A factor that determines the frequency of collisions between molecules at a given temperature, independent of the activation energy. It represents the maximum rate of reaction.

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Enzyme

A biological catalyst, typically a protein, that speeds up specific biochemical reactions in living organisms.

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Molecularity

The number of molecules involved in a single step of a multi-step reaction mechanism. It is determined by the stoichiometry of the elementary reaction step.

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Termolecular Reaction

A reaction step that involves the simultaneous collision of three or more molecules.

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Elementary Reaction

A reaction step in which the rate of the reaction is directly proportional to the product of the concentrations of the reactants raised to their respective stoichiometric coefficients.

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Study Notes

PHA 111: Chemical Kinetics

  • This course covers chemical kinetics, focusing on reaction rates and reaction orders.
  • Dr Stephen Childs, Senior Lecturer in Pharmaceutical Chemistry, is the instructor.
  • Recommended reading includes Atkins' Physical Chemistry, Chapters 21.2–21.5 (9th Edition).

Why Study Reaction Rates?

  • Understanding reaction mechanisms (e.g., SN1 and SN2 reactions).
  • Optimizing reaction rates to improve yields and reduce side products.
  • Minimizing drug degradation to predict and enhance shelf life (e.g., pH-dependent hydrolysis of aspirin).
  • Understanding the driving force of reactions (e.g., H2 + ½O2 → H2O, ΔH = -286 kJ/mol).

What Affects Reaction Rate?

  • Physical State: Many pharmaceutical reactions occur in solution.
  • Concentration: Molecules must collide to react; increased concentration = increased collision frequency.
  • Temperature: Increased frequency of collisions, increased vibrational energy of bonds.
  • Catalysts: Provide alternative, faster reaction mechanisms.

Collision Theory

  • Reaction rate depends on the frequency and energy of collisions between reacting molecules.
  • Collision Rate Depends On:
    • Concentration (higher concentration, higher collision chances).
    • Pressure (for gases, higher pressure, higher rate).
    • Surface Area (greater surface area, faster reaction).
    • Molecular Orientation (correct orientation for successful collisions).
    • Temperature (increased temperature, increased molecular speeds).

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 reactions; correct molecular orientation is critical.
  • Consider reactions like electrophilic addition of HCl to ethene.
  • Complex reactions may need extremely specific orientations.

Effect of Molecular Speed

  • Collision rate is affected by molecular speed, which is influenced by temperature.
  • Temperature increases molecular speed.
  • Formula for root mean square speed: Vrms = √(3RT/M).
  • At 5°C Vrms = 240 m/s, at 20°C Vrms = 247 m/s (120amu).

Activation Energy

  • Energy barrier associated with the transition state.
  • Molecular shape distortion before the reaction.
  • Typical activation energy ranges from 50 to 100 kJ.
  • Average energy at 20°C is approximately 4 kJ.
  • Only a small fraction of molecules have enough energy to overcome the activation energy barrier.

Maxwell-Boltzmann Distribution

  • For gases, the distribution of molecular energies can be represented by a curve.
  • The fraction of molecules with sufficient energy to react is proportional to the area under the curve.

Effect of Temperature

  • Increasing temperature drastically increases the number of particles with sufficient activation energy.

Arrhenius Equation

  • Relates the rate constant (k) to temperature (T) and activation energy (Ea).
  • k = Ae-Ea/RT; A = frequency factor, Ea= activation energy, R = gas constant and T = temperature (in Kelvin).

Effect of Temperature (calculation demonstration)

  • Doubling of temperature almost doubles the reaction for a fixed activation energy.

Catalysts

  • Increase reaction rate without being consumed.
  • Provide an alternative pathway with lower activation energy. e.g. Acid catalyzed ester hydrolysis, Chlorine radical catalyzing ozone breakdown.

Catalysts (continued)

  • Do not affect the position of equilibrium; overall Gibbs free energy change (ΔG) remains unchanged.
  • Enzymes are biological catalysts (proteins).

Rate of Reaction

  • Measured by following concentration as a function of time.
  • Decrease in reactant concentration.
  • Increase in product concentration.
  • Measured as change over infinitesimally small time.

Measuring Rate of Reaction (graph)

  • A graph showing reactant concentration vs time (a declining curve).

Chemical Reactions

  • Multi-step processes.
  • Example: NO2 reactions.
  • Molecularity (number of molecules in an elementary step) – not the same as reaction order.

Rate of Reaction (effects on concentration [A])

  • If rate is independent of reactant concentration [A]- nothing changes.
  • If rate is dependent (proportionally) to reactant concentration [A]: Increasing [A] doubles the rate: if rate =k[A] -> doubling [A] doubles the rate Increasing [A] quadruples the rate: if rate=k[A]^2 ->doubling [A] quadruples the rate

Reaction Order (i)

  • Rate law determination.
  • Units of rate constant.

Reaction Order (ii)

  • Calculating reaction order from experimental data.
  • Example: F2 + 2ClO2 → 2ClO2F , 2nd order.

Reaction Order Example

  • Calculating reaction order.
  • Example: BrO3- + 5Br- + 6H+ → 3Br2 + 3H2O, orders of reactants and overall order.

Rate Law Examples

  • Different scenarios and resultant order of reaction.

Reaction Mechanisms

  • SN1 reaction (tert-butyl chloride and hydroxyl anion):
    • Rate is dependent on concentration of substrate and not on hydroxide concentration.
    • Unimolecular reaction.
  • SN2 reaction (chloromethane and hydroxyl anion):
    • Bimolecular reaction. Rate is dependent on concentration of substrate and hydroxide concentration

Determining Mechanisms

  • Identifying the correct reaction mechanism from order of reactants.
  • If the slow step comes first- reaction rates will reveal the reactants

Determining Mechanisms (continued)

  • What if the slow step is not the first one?
  • Need to analyze equilibrium to formulate new rate equation.

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Test your understanding of chemical kinetics in PHA 111, focusing on reaction rates and orders. This quiz covers critical concepts such as reaction mechanisms, factors affecting reaction rates, and their applications in pharmaceutical chemistry.

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