Drug Stability and Chemical Kinetics Overview
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Questions and Answers

What does collision theory state regarding molecular interactions during a reaction?

  • Reactions can occur without any collisions.
  • Only one molecule is necessary for a reaction to occur.
  • A collision must be of specific energy to break bonds for a reaction. (correct)
  • Higher concentrations of reactants inhibit collisions.

How does temperature affect the rate of reaction according to the principles of chemical kinetics?

  • Higher temperatures lead to more collisions and increased reaction rates. (correct)
  • Increasing temperature decreases reaction rates.
  • Temperature has no effect on reaction rates.
  • Temperature only affects gaseous reactants.

What is the activation energy (Ea) in the context of chemical reactions?

  • The energy that remains constant regardless of temperature.
  • The energy released when products are formed.
  • The energy required to stabilize reactants.
  • The energy necessary to initiate a reaction by overcoming bond breaking. (correct)

According to the content, a 10°C increase in temperature typically results in what effect on decay or degradation rates?

<p>A 2-5 fold increase in decay or degradation rate. (C)</p> Signup and view all the answers

What does the symbol $A$ represent in the Arrhenius equation?

<p>The Arrhenius factor or frequency factor (A)</p> Signup and view all the answers

In the equation log $k = log A - \frac{E_a}{2.303RT}$, what does $R$ denote?

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

What principle provides a better description of reaction rates than collision theory alone?

<p>Arrhenius theory. (B)</p> Signup and view all the answers

What is the unit of the energy of activation $E_a$ in the Arrhenius equation?

<p>Calories per mole (B)</p> Signup and view all the answers

If the temperature increases, how does it generally affect the reaction rate according to the Arrhenius equation?

<p>It increases the reaction rate depending on the activation energy (D)</p> Signup and view all the answers

What mathematically describes the relationship between the logarithm of the rate constant $k$ and temperature $T$ in the Arrhenius equation?

<p>A negative logarithmic relationship (C)</p> Signup and view all the answers

What is the estimated shelf life of an antibiotic solution at room temperature (25°C) if it has a shelf life of 48 hours at 5°C and a Q10 value of 3?

<p>16 hours (C)</p> Signup and view all the answers

If an ophthalmic solution has a shelf life of 6 hours at 25°C, how long would it last at 5°C given a Q10 value of 3?

<p>18 hours (D)</p> Signup and view all the answers

Which of the following factors does NOT affect the reaction rate in chemical kinetics?

<p>Color of the solution (A)</p> Signup and view all the answers

For a chemical reaction, a Q10 value of 3 implies what kind of relationship between temperature and reaction rate?

<p>A multiplicative increase in reaction rate with every 10°C rise (A)</p> Signup and view all the answers

How is the shelf life of a drug related to the temperature it is stored at, based on the Q10 principle?

<p>Shelf life decreases at higher temperatures, with Q10 influencing the rate of decrease (D)</p> Signup and view all the answers

What happens to the specific base-catalysis rate constant ($k_{obs}$) when the pH is low?

<p>$k_{obs}$ is equal to $k_H [H^+]$ (B)</p> Signup and view all the answers

Which equation correctly calculates the specific reaction rate constant at slightly alkaline pH?

<p>$k_{obs} = k_0 + k_{OH} [OH^-]$ (D)</p> Signup and view all the answers

What is the correct range for the pH of maximum stability for the reaction?

<p>4–8 (D)</p> Signup and view all the answers

How is ionic strength defined in the context of chemical kinetics?

<p>It is the cumulative measure of both ion charge and concentration. (B)</p> Signup and view all the answers

Which of the following equations represents the relationship between the hydroxide concentration and the specific base-catalysis rate constant?

<p>$k_{obs} = k_{OH} [OH^-]$ (D)</p> Signup and view all the answers

Flashcards

Activation Energy (Ea)

The minimum energy required for molecules to react. Breaking bonds in reactants and forming new bonds in products requires energy.

Collision Theory

A theory that explains how reactions occur based on collisions between molecules. To react, molecules must collide with enough energy to break existing bonds and form new ones. This is called activation energy.

Arrhenius Theory

A theory that shows how temperature affects reaction rate - The rate constant (k) increases exponentially with temperature. It predicts that the rate of chemical reactions increases as temperature increases.

Chemical Kinetics

The study of how fast chemical reactions occur and the factors that influence their speed. For example, it explores how changes in temperature affect reaction rates.

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Reaction Rate

The rate at which a chemical reaction proceeds, often measured by how quickly the concentration of reactants decreases or how fast the concentration of products increases.

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Arrhenius Equation

Describes the relationship between the rate constant (k) and temperature (T) for a chemical reaction. It states that the logarithm of the rate constant is linearly dependent on the inverse of the absolute temperature.

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Arrhenius Factor (A)

Represents the frequency of collisions between reactant molecules with sufficient energy to overcome the activation energy. It reflects the rate of reaction if all collisions resulted in product formation.

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Boltzmann Distribution

A value indicating the proportion of reactant molecules having energy greater than or equal to the activation energy at a given temperature.

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Gas Constant (R)

A constant used in physical chemistry, relating the energy change of a system to its temperature and volume.

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Specific base-catalysis rate constant

The rate constant for a reaction when the catalysis is solely due to the base present in the solution, independent of the acid concentration.

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Specific acid-catalysis rate constant

The rate constant for a reaction when catalyzed only by the hydrogen ions (H+) present in the solution, independent of the base concentration.

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Rate-pH profile

A plot that shows how the rate of a reaction changes with the change in pH.

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pH of maximum stability

The pH value at which the reaction rate is at its peak or maximum. It indicates the pH where the reaction is most efficient.

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Primary salt effect

The influence of ionic strength on the rate of a reaction. It's a primary factor in determining the effect of the overall ionic environment on the reaction rate.

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What is the Q10 value?

The Q10 value is a measure of the rate of change of a reaction rate with temperature. It represents the factor by which the rate of a reaction increases for every 10°C rise in temperature.

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What is shelf life?

A shelf life is the period of time during which a drug retains its potency and is considered safe and effective. It's the time a drug can be stored before it starts to degrade.

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How can the Q10 value be used to predict shelf life?

The shelf life of a drug at a specific temperature can be calculated using the Q10 value and the shelf life at a different temperature.

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What is the formula to calculate shelf life at a different temperature using Q10?

The Q10 value can be used to estimate the shelf life of a drug at a different temperature. The formula is: Q10^(ΔT/10) = t90(T1) / t90(T2) where: ΔT is the temperature difference, t90(T1) is the shelf life at temperature T1, and t90(T2) is the shelf life at temperature T2.

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How does pH affect drug degradation?

The pH of a solution can affect the rate of degradation of some drugs. Some drugs degrade faster in acidic environments, while others degrade faster in basic environments.

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Study Notes

Drug Stability and Chemical Kinetics: Temperature

  • Chemical kinetics studies reaction rates
  • Temperature significantly impacts reaction rates
  • Collision theory states reactions occur via molecular collisions requiring minimum activation energy
  • Reaction rates directly correlate with the number of collisions per unit time
  • Increasing temperature increases collision frequency and reaction rate
  • A 10°C rise generally results in a 2-5 fold increase in degradation rate
  • Arrhenius theory provides more sophisticated descriptions of this relationship

Drug Stability and Chemical Kinetics: Arrhenius Equation

  • Arrhenius equation expresses the relationship between reaction rate constant (k), temperature (T), and activation energy (Ea)
  • The equation is in log form log k=log A -Ea/2.303R * T
  • A is the frequency factor, reflecting reaction frequency, and influences the rate constant
  • Ea represents the activation energy, which is required to initiate reactions and related to reaction processes
  • R is the ideal gas constant, and its value is (1.98 cal/ mol k or 8.314 J/ mol k)
  • Temperature (T) is measured in Kelvin; convert from Celsius using the formula: K = °C + 273
  • The equation is useful for calculating activation energy (Ea) from rate constants at different temperatures

Drug Stability and Chemical Kinetics: Arrhenius Plot

  • Arrhenius plot graphically depicts the relationship between the natural log of the rate constant (ln k) and the inverse of absolute temperature (1/T)
  • The slope of the line in the plot is directly related to the activation energy (Ea)
  • The y-intercept represents the frequency factor (A)

Drug Stability and Chemical Kinetics: Practice Problems (1)

  • First order reactions are related to degradation reaction rates
  • Degradation rates can be used to calculate activation energy (Ea)
  • Calculating Ea using the provided reaction rates at different temperatures yields 25,574 cal/mol or 25.574 kcal/mol

Drug Stability and Chemical Kinetics: Practice Problems (2)

  • Calculate the frequency factor (A) from rate constants and temperatures
  • This method involves solving for A using the Arrhenius equation

Drug Stability and Chemical Kinetics: Applications

  • Accelerated stability studies assess drug degradation rates under elevated temperatures, enabling the prediction of shelf life
  • Q10 method estimates the effect of variable temperature changes on reaction rates, enabling a prediction of shelf-life

Drug Stability and Chemical Kinetics: Q10 Method

  • Q10, or temperature coefficient, represents the factor by which a rate constant increases for a 10°C rise in temperature
  • Q10 values relate to the activation energy (Ea)
  • Q10 values are useful for estimations related to drug degradation rates at different temperatures

Drug Stability and Chemical Kinetics: Practice Problems (3)

  • Find the estimated shelf life of a drug at a varying temperature given conditions
  • For example, 48 hours in the refrigerator (5°C) can be used to determine the shelf life at a different temperature (25°C) given a specified Q10 value of 3.

Drug Stability and Chemical Kinetics: Practice Problems (4)

  • Similar to problem (3), given a shelf life of a product at a specific temperature (room temperature), the expected shelf life at a different temperature (refrigerator temperature) can be determined.

Drug Stability and Chemical Kinetics: pH

  • pH plays a significant role in drug stability (i.e., degradation of some drugs is influenced by acids/bases)
  • Specific acid/base catalysis refers to reaction rates dependent on specific (i.e., "charged") acids/bases
    • Reactions rates depend on the concentration of hydrogen or hydroxyl ions at low or high pH
    • The specific acid-base catalysis involves reactions with an acid or base involved in a reaction, and the rates are dependent on the specific acid or base or the concentration
  • Two general categories of catalysis include general acid/base catalysis and specific acid/base catalysis
    • General acid/base catalysis is concerned with reactions involving a buffer system
  • The rate constant (k) depends on the concentration of the specific hydrogen or hydroxyl ions, with higher rates observed at higher concentrations

Drug Stability and Chemical Kinetics: Examples of Specific Acid-Base Catalysis

  • Illustrative examples of specific acid/base catalysis at low and high pH
  • The rate of change in kobs is dependent on the specific concentration of either the hydrogen (H+) or hydroxyl (OH-) ions for specific acid/base catalysis conditions

Drug Stability and Chemical Kinetics: Determination of Rate-pH

  • Calculation of the rate at a given pH to calculate the pH of maximum stability profiles, given the known pH dependence of drug degradation

Drug Stability and Chemical Kinetics: Medium Effect

  • Ionic strength, the cumulative effect of charge from ions, influences drug stability
  • Electrolytes (e.g., buffers or salts) altering the ionic strength affecting drug degradation rates.

Drug Stability and Chemical Kinetics: Ionic Strength Calculation

  • The equation that describes how to calculate ionic strength (μ)
  • The example shows applying the equation for determining ionic strength using appropriate components and concentration

Drug Stability and Chemical Kinetics: Brønsted-Bjerrum Equation

  • This equation describes the influence of electrolytes on rate constants for ionic species interactions
  • It details parameters such as rate constants (ko), constant (A), charge numbers (Za, Zb), and ionic strength (μ)

Drug Stability and Chemical Kinetics: Medium Effect (Continued /Examples)

  • Similarly charged ions reacting
    • E.g., acid-catalyzed hydrolysis in a cationic drug
  • Oppositely charged ions reacting
    • E.g., base-catalyzed hydrolysis in a cationic drug

Drug Stability and Chemical Kinetics: Oxygen and Light

  • Oxygen availability can negatively impact drug stability in oxidation sensitive medicines
  • Exposure to light can influence drug degradation

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Description

Explore the principles of drug stability and chemical kinetics, focusing on the effects of temperature on reaction rates. Understand the collision theory and the Arrhenius equation as key components that describe how temperature influences reaction dynamics and degradation rates.

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