SectionC5_BB - Tagged

Page 1: Introduction to Chemical Kinetics

  • Course Title: CHEM10021 Chemistry for Bioscientists I

  • Section: C5 Chemical kinetics, Rate laws

  • Year: 1824

  • Institution: The University of Manchester

Page 2: Overview of Chemical Kinetics

  • Study Focus: Rates of chemical reactions

  • Key Measurements:

    • Consumption of reactants

    • Formation of products

  • Influencing Factors:

    • Pressure, temperature, catalysts

  • Goals:

    • Gain insights into the mechanisms of reactions

    • Identify the sequence of elementary steps

Page 3: Stoichiometry

  • Definition: Study of the numbers of reactant and product molecules

  • Example Reaction:

    • 1 C6H12O6 + 6 O2 -> 6 CO2 + 6 H2O

  • Concentration Monitoring:

    • Concentrations change with time

    • Temperature (T) held constant during reaction monitoring

Page 4: Measuring Concentrations

  • Biological Reactions Timescales:

    • Ranges from 10^-15 to approximately 10^7 seconds

  • Required Experimental Techniques:

    • Pressure measurement (for gaseous species)

    • Spectrophotometry (very fast)

    • Conductivity measurement (ionic solutions)

    • pH measurement (for H+/OH- reactions)

    • Polarimetry (for chiral species)

Page 5: Reaction Rate

  • Definition: Rate of reaction is defined as the number of moles of reaction per unit time

  • Example Reaction:

    • 1 C6H12O6 + 6 O2 -> 6 CO2 + 6 H2O

  • Calculation Method:

    • Rate of loss of C6H12O6 or 1/6 rate of production of CO2

  • Units: mol dm^-3 s^-1

  • Monitoring: Concentration changes of a single reactant or product

Page 6: General Rate Expression

  • General Reaction Form:

    • aA + bB -> cC + dD

  • Rate Expressions:

    • Rate = -1/a * (d[A]/dt) = -1/b * (d[B]/dt) = 1/c * (d[C]/dt) = 1/d * (d[D]/dt)

  • Estimation: Rate can be estimated by measuring concentration at two time points and dividing by the elapsed time.

Page 7: Instantaneous Rate

  • Definition: Initial rates can be determined

  • Focus: Comparison of rates at later times (t1, t2) against initial time (t)

Page 8: Rate Laws and Rate Constants

  • Form of Rate Law:

    • rate of reaction = k[A][B]

  • Components Explained:

    • k is the rate constant; unique to each reaction and temperature-dependent

  • Units of k: dm³ mol^-1 s^-1

  • Relationship: rate (mol dm^-3 s^-1) = k (dm³ mol^-1 s^-1) * [A] (mol dm^-3) * [B] (mol dm^-3)

Page 9: Order of Reaction

  • Definition: Order of a reaction refers to the power to which the concentration is raised in the rate law

  • Examples:

    • rate = k[A][B]: first order in both A and B

    • rate = k[A]²: second order in A

  • Overall Order: Sum of the individual orders

Page 10: Types of Reaction Orders

  • Zero Order: Rate is independent of concentration

    • Example: rate = k (when [A]° = 0)

  • Fractional Order: Example rate = k[A]^(1/2)[B]

  • Negative Order: Example: rate = k[C]/[A][B]

  • Note: If the rate law does not fit conventional forms, the reaction does not have an order.

Page 11: Finding the Order of Reaction: Isolation Method

  • Important Note: Rate laws are deduced experimentally and cannot solely depend on the stoichiometric equation.

  • Relation: Rate law is often influenced by the reaction mechanism.

Page 12: Isolation Method Explained

  • Concept: All reactants except one are kept constant

  • Approximation Example:

    • True rate law might be: rate = k[A][B]²

    • Approximating [B] by its initial value [B]₀ leads to a pseudo first-order reaction.

Page 13: Initial Rate Method

  • Methodology: Measurements taken before concentrations have varied significantly.

  • Finding Order: By plotting log(initial rate) (ro) against log(concentration).

Page 14: Logarithmic Representation

  • Derivation for Second Order Reaction:

    • If rate = k[B]² and ro is the initial rate:

    • log(ro) = log(k) + 2log([B])

  • Mathematical Representation: y = mx + c, where slope (m) is 2.

Page 15: Conclusion

  • Section: C5 Chemical kinetics, Rate laws

  • Year: 1824

  • Institution: The University of Manchester