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Chemical Kinetics notes

Chemical Kinetics: The Study of Reaction Rates

Chemical Kinetics: The Study of Reaction Rates

Reaction Dynamics

Understanding how fast chemical reactions occur and the factors that influence their rates

What is Chemical Kinetics?

Chemical kinetics is the branch of physical chemistry that studies the rates of chemical reactions and the molecular mechanisms by which they occur. Unlike thermodynamics which tells us if a reaction can happen, kinetics tells us how fast it will happen.

Reaction Rate

The change in concentration of reactants or products per unit time

$$ \text{Rate} = -\frac{d[A]}{dt} = \frac{d[P]}{dt} $$

Reaction Order

The power to which reactant concentrations are raised in the rate law

$$ \text{Rate} = k[A]^m[B]^n $$

Molecularity

Number of molecules participating in the elementary step

  • Unimolecular
  • Bimolecular
  • Termolecular

Rate Laws and Reaction Orders

Reaction Order Rate Law Integrated Rate Law Half-Life
Zero Order Rate = k [A] = [A]₀ – kt t½ = [A]₀/2k
First Order Rate = k[A] ln[A] = ln[A]₀ – kt t½ = 0.693/k
Second Order Rate = k[A]² 1/[A] = 1/[A]₀ + kt t½ = 1/k[A]₀

Determining Reaction Order

  1. Initial Rates Method: Measure initial rates at different concentrations
  2. Integrated Rate Laws: Test which equation gives a straight line plot
  3. Half-Life Method: Observe how half-life changes with concentration

Collision Theory and Activation Energy

Key Principles

  • Molecules must collide to react
  • Collisions must have sufficient energy (≥ Eₐ)
  • Proper orientation is required
  • Only a fraction of collisions are successful

Arrhenius Equation

$$ k = Ae^{-E_a/RT} $$

Where A = frequency factor, Eₐ = activation energy, R = gas constant, T = temperature

Reactants Transition State Products

Factors Affecting Reaction Rates

Concentration

Higher concentration → more collisions → faster rate (depends on order)

Temperature

10°C increase typically doubles rate (more molecules have E ≥ Eₐ)

Catalysts

Provide alternative pathway with lower Eₐ (not consumed in reaction)

Surface Area

More exposure → more collision sites (especially for heterogeneous reactions)

Reaction Mechanisms

Elementary Steps

Most reactions occur through a series of simple steps called the reaction mechanism.

Example: Ozone Depletion

  1. Cl + O₃ → ClO + O₂ (slow)
  2. ClO + O → Cl + O₂ (fast)

The slow step determines the overall rate.

Characteristics

  • Must add up to overall balanced equation
  • Rate law depends on slowest (rate-determining) step
  • Intermediates form and are consumed

Steady-State Approximation

For reactions with reactive intermediates, we assume their concentration remains constant during most of the reaction.

Example Mechanism

A + B → C (fast equilibrium)

C → D (slow)

D → E (fast)

$$ \text{Rate} = k_2K[A][B] $$

Where K is equilibrium constant for first step

Reaction Rate Calculator

Practical Applications

Pharmaceutical Stability

  • Determining drug shelf life
  • Optimizing storage conditions
  • Accelerated stability testing

Automotive Catalysts

  • Catalytic converters
  • Exhaust treatment systems
  • Combustion optimization

Food Chemistry

  • Enzyme kinetics in cooking
  • Spoilage rate prediction
  • Packaging optimization

Environmental Chemistry

  • Atmospheric reaction modeling
  • Pollutant degradation rates
  • Waste treatment processes

Conclusion

Chemical kinetics provides the framework for understanding and controlling reaction rates – from industrial processes to biological systems. By studying how factors like concentration, temperature, and catalysts affect reaction speeds, we can design better chemical processes, develop more effective medicines, and understand complex environmental changes. The principles of kinetics bridge the gap between molecular interactions and observable chemical behavior.

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