Lecture 9: Kinetics and Drug Stability
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Questions and Answers

What is the primary focus of reaction kinetics?

  • The theoretical aspects of chemical equilibrium
  • The rate of chemical change and factors influencing it (correct)
  • The study of energy changes in a reaction
  • The formation of products only

The rate of a reaction is influenced solely by the concentration of reactants.

False (B)

What is the significance of determining the half-life of a reaction?

It helps in understanding the time required for the concentration of a reactant to reduce to half its initial value.

The term _____ refers to the concentration of reactants raised to the power equal to the number of molecules undergoing reaction.

<p>order of reaction</p> Signup and view all the answers

Match the following terms with their definitions:

<p>Half-life = Time for concentration to drop to half Zero-order reaction = Rate independent of reactant concentration Rate constant = Specific rate of a reaction ADME = Absorption, Distribution, Metabolism, Excretion</p> Signup and view all the answers

Which of the following factors is NOT typically considered when studying reaction kinetics?

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

The order of a reaction can be determined by summing the exponents of the reactants' concentrations.

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

What does the symbol 'K' denote in reaction kinetics?

<p>The rate constant or specific rate constant</p> Signup and view all the answers

To advise a patient on the proper _____ conditions for drug storage, knowing the kinetics is essential.

<p>storage</p> Signup and view all the answers

In a zero-order reaction, what is the relationship between reactant concentration and the rate of reaction?

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

What does the half-life of a zero-order reaction represent?

<p>The time required for 50% of the material to disappear (C)</p> Signup and view all the answers

The shelf life of a zero-order reaction is the time required for 50% of the material to disappear.

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

What is the formula for the shelf life of a zero-order reaction?

<p>T 90% = 0.1 Co / k</p> Signup and view all the answers

In apparent or pseudo-order reactions, one of the reactants is present in ________ excess.

<p>large</p> Signup and view all the answers

In zero-order kinetics, what remains constant over time?

<p>The amount of drug in solution (A)</p> Signup and view all the answers

What type of reaction does a second-order reaction behave like when the concentration of water is constant?

<p>Pseudo-first-order reaction (C)</p> Signup and view all the answers

In first-order reactions, the half-life is dependent on the concentration of the reactant.

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

The graphical method determines reaction order by plotting the concentration against time.

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

What characterizes the rate of a first-order reaction?

<p>It is directly proportional to the first power of the concentration of a single reactant.</p> Signup and view all the answers

What is the importance of the half-life method in determining reaction order?

<p>It allows for the comparison of half-lives at different initial concentrations to deduce the reaction order.</p> Signup and view all the answers

In a zero-order reaction, the half-life can be expressed as ________ = C0 / (2K).

<p>t1/2</p> Signup and view all the answers

The half-life of a reaction is defined as the time taken for ______ of the reactant to decompose.

<p>half</p> Signup and view all the answers

What happens to the concentration in a suspension under apparent zero-order kinetics?

<p>It remains constant due to solid drug reservoir (C)</p> Signup and view all the answers

Match the methods for determining reaction order with their descriptions:

<p>Substitution method = Using integrated equations to find the constant value K Graphical method = Plotting data to visualize the reaction order Half-life method = Relating half-lives of reactions at different concentrations Arrhenius equation = Describing the effect of temperature on reaction rates</p> Signup and view all the answers

Which integrated equation indicates a first-order reaction when plotted as log concentration versus time?

<p>Straight line indicates first-order (A)</p> Signup and view all the answers

The Arrhenius equation shows that reaction rate is unrelated to temperature.

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

What is the activation energy for the hydrolysis of sulfacetamide at 120°C?

<p>94 kJ mol-1</p> Signup and view all the answers

According to the half-life method, the half-lives at initial concentrations a1 and a2 are denoted as ______ and ______.

<p>t1/2(1), t1/2(2)</p> Signup and view all the answers

What does the substitution method rely on to determine the order of a reaction?

<p>Substituting data into the relevant integrated equation (C)</p> Signup and view all the answers

Flashcards

Reaction Kinetics

The study of how fast chemical reactions occur and how factors like concentration, temperature, and catalysts influence this speed.

Rate of Reaction

The rate at which a reactant(s) changes over time. This rate is a measure of how fast the reaction is happening.

Order of Reaction

The relationship between the concentration of reactants and the speed of the reaction. It describes how much the speed changes when the concentration of a reactant changes.

Overall Order

The sum of the exponents of the concentration terms in the rate law. It indicates how the overall speed changes based on changes in reactant concentrations.

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Zero Order Reaction

A reaction where the rate of reaction doesn't change even if the concentrations of reactants change. The reaction happens at a constant rate.

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Half-life of a zero-order reaction

The time it takes for the concentration of a reactant to decrease to half its initial value.

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Shelf life of a zero-order reaction

The time it takes for 10% of a reactant to decompose. In other words, the time it takes for the concentration to drop to 90% of its original value.

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First-order reaction

A chemical reaction where the rate of reaction is directly proportional to the concentration of a single reactant.

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Constant half-life and shelf life in first-order reactions

The half-life and shelf life of a first-order reaction are constant, regardless of the initial concentration of the reactant.

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Apparent or Pseudo-order

A reaction that appears to be of a certain order, but is actually influenced by other factors, such as the concentration of a second reactant present in excess.

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Suspensions and Zero-Order Kinetics

Suspensions can exhibit zero-order kinetics because the drug's concentration in solution remains constant, even as it decomposes.

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Rate of Zero-Order Reaction

The rate of a zero-order reaction is independent of the concentration of the reactant.

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Rate-Determining Step

The rate of a reaction is determined by the slowest step in the process.

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Half-life of a reaction

The time at which the concentration of the reactant has decreased to half its original value.

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Shelf-life of a reaction

The time it takes for the concentration of the reactant to decrease to 90% of its original value.

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Second-order reaction

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

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Pseudo-first-order reaction

A second-order reaction that appears to behave like a first-order reaction under specific conditions.

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Substitution method

A method used to determine the reaction order by substituting experimental data into integrated rate equations.

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Graphical method

A method used to determine the reaction order by plotting the concentration of the reactant versus time and analyzing the resulting graph.

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Half-life method

A method used to determine the reaction order by analyzing the relationship between the half-life of a reaction and the initial concentration of the reactant.

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Arrhenius equation

A mathematical equation describing the effect of temperature on the rate constant of a reaction.

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Activation energy

The minimum energy required for a reaction to occur.

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Rate constant

The rate constant of a reaction at a specific temperature.

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Study Notes

Lecture 9: Kinetics, Reaction Rates, and Drug Stability

  • This lecture covers reaction kinetics, the study of the rate of chemical change and how external factors affect it.  
  • Kinetics is derived from "kinesis," the Greek word for movement, emphasizing the dynamic nature of reactions.
  • Reaction rates depend on reactant concentrations, products, other chemical species in the environment, solvent properties, pressure, and temperature.
  • Understanding kinetics is important in determining drug stability.

Importance of Studying Kinetics

  • Determining half-life (t1/2): the time needed for half of the drug to decompose.
  • Determining shelf-life (t90): the time needed for 10% of the drug to decompose.
  • Proper storage conditions selection.
  • Incompatibility identification.
  • Dissolution determination (the rate at which a substance dissolves).
  • ADME Processes study in pharmacokinetics (absorption, distribution, metabolism, and excretion).

Rate and Order of Reactions

  • Rate of reaction: the speed or velocity of a chemical reaction. Measured by conc. changes over time (rate = ±dc/dt).
  • Order of reaction: how reactant concentration influences reaction speed. 
  • Reaction rate is proportional to reactant concentration raised to powers equal to their respective stoichiometric coefficients. (Rate = k [A]a [B]b)
  • Order of reaction is the sum of exponents of the concentration terms in the rate law.

Zero-Order Reactions

  • Reaction rate is independent of reactant concentration.
  • Rate is constant over time.
  • Rate = -dc/dt = k [A]º = k.
  • Concentration decreases linearly with time (C = C0 - kt).
  • Half-life (t1/2) = C0 / 2k, where C0 is the initial concentration.
  • Shelf-life is calculated by setting C = 0.9 C0 and solving for t.

First-Order Reactions

  • Reaction rate directly proportional to the first power of a single reactant's concentration.
  • Rate = -dc/dt = kC
  • Concentration decreases exponentially over time (C = C0e-kt).
  • Half-life (t1/2) = 0.693/k.
  • Shelf-life calculation involves setting C = 0.9C0 and solving for t

Apparent or Pseudo-First-Order Kinetics

  • Involves reactions where one reactant is in large excess, behaving as a pseudo-constant. 
  • The reaction follows first-order kinetics despite being a second- or a higher-order reaction.
  • Related to drug hydrolysis and drug decomposition in solution

Methods for Determining Reaction Order

  • Substitution method: Substituting experimental data into integrated equations to determine a consistent K.
  • Graphical method: Plotting relevant data (e.g., concentration vs. time for zero-order) to analyze reaction behavior.
  • Half-life method: Comparing half-lives to determine the reaction order using different initial concentrations.

Factors Affecting Drug Stability 

  • Temperature:
    • Higher temperatures generally increase reaction rates following the Arrhenius equation (k = Ae-Ea/RT).
    • The speed of many reactions approximately doubles or triples with every 10°C rise in temperature.

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Description

This quiz focuses on the essential concepts of kinetics, including reaction rates and their relevance to drug stability. Students will explore factors such as concentration, temperature, and pressure that influence these reaction rates. Understanding half-life and shelf-life of drugs is critical for effective pharmacological practices.

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