Physical Chemistry, A Modern Introduction

by Clifford E. Dykstra

World Wide Web Interactive Problems

  1. The World of Atoms and Molecules
    1. Ionization Potential of an H-atom
    2. kT and a Moving Atom
    3. Average Energy of Fictitious Two Level System
    4. Population Ration of a Fictitious Two Level System
    5. Two Level System High Temperature Limit
    6. Most Probable State Determination
    7. Most Probable State Determination (II)
    8. Ratio of RMS Velocities
    9. Temperature at Which Populations Are Fixed
  2. Ideal and Real Gases
    1. Calculation of Pressure for a Van der Waals Gas
    2. Energy of a Molecule at kT
    3. Helmholtz Free Energy via Legendre Transformation
    4. Approximate Computation of Speed in Ideal Gases
    5. Coefficient of Thermal Expansion
    6. Isothermal Compressibility
    7. Ratio of Root-Mean Squared Speed to Mean Speed
    8. Density of Moist Air
    9. Average Velocity of Right Moving Molecules
  3. Changes of State
    1. Reversible Isothermal Expansion of an Ideal Gas
    2. Work of Compression
    3. Work of Reversible Isothermal Compression
    4. Adiabatic Reversible Expansion
    5. Carnot Cycle (I)
    6. Carnot Cycle (II)
    7. Compression or Expansion
    8. Heat Computation Using a Variable Heat Capacity
    9. Reversible Adiabatic Expansion of an Ideal Gas
  4. Phases and Multicomponent Systems
    1. Heat of Vaporization
    2. Critical Presure of a van der Waals Gas
    3. Change in Volume on Fusion
    4. Can a Bertholet Gas Show a Critical Point?
    5. Freezing Point of Water Under High Pressure
    6. Triple Point Determination
    7. Number of Degrees of Freedom
    8. Solid State Transformation in Ammonium Nitrate
    9. Solid State Transformation in Silver Iodide
  5. Activity and Equilibrium of Gases and Solutions
    1. Triple Point Determination
    2. Azeotropic Distillation
    3. Fugacity for Example Non-Ideal Gas
    4. Vapor Pressure of Non-Ideal Solution
    5. Temperature Dependence of G
    6. Vapor Pressure of Water at 53oC
    7. Difference Between the Gibbs Free Energy and the Enthalpy
    8. Equilibrium Constant at an Elevated Temperature
  6. Chemical Reactions: Kinetics, Dynamics, and Equilibrium
    1. Equilibrium Constant for Antimonypentachloride
    2. Number of Collisions in Helium at a Given Temperature
    3. Hess's Law (I)
    4. Standard Heat of Formation
    5. Sequential First Order Reaction Kinetics
    6. Hess's Law (II)
    7. Gaseous Equilibrium Above a Reacting Solid
    8. Water Decomposition
  7. Vibrational Mechanics of Particle Systems
    1. Units of the Vibrational Frequency
    2. Semi-harmonic Oscillator
    3. Effect of Hamiltonian on Trial Wavefunction
    4. Translation and Vibration Energy of a Molecule
    5. Classical Harmonic Oscillator Energy Values
    6. Effect of Hamiltonian on Trial Wavefunction (II)
    7. Spherical Polar Coordinates for Diatomic Molecules
    8. Vibrational Energy in Water
  8. Molecular Quantum Mechanics
    1. Probability and Probabilty Density
    2. Average Value
    3. Angular Momentum of Trial Eigenfunction
    4. Probablity of Finding Harmonic Oscillator Somewhere
    5. Particle in a Two Dimensional Box
    6. Orthogonality of Angular Momentum Eigenfunctions
    7. Average Value of Momentum for Harmonic Oscillator
    8. Average (Expectation) Vlues (Particle in a Box)
  9. Vibrational-Rotational Spectroscopy
    1. Far InfraRed Absorption Line
    2. Rotational Energy Compared to Vibrational Energy
    3. Energies of Rotating and Vibrating Diatomic Molecules
    4. Rotational Spectra of HeH Cation
    5. Intensities of InfraRed Absorption Lines
    6. Vibrations in Deuterium Chloride
    7. Energy of Absorption of OH
    8. Bond Length in AlH
    9. Photodissociation
  10. Electronic Stucture
    1. Value of Hydrogenic Wavefunction
    2. 2s Wavefunction Verification
    3. Adjusting a Potential p Orbital
    4. Approximate Ionization Potential of Sodium
    5. Value of Wave Function at Minimum
    6. Value of Wave Function at Minimum (II)
    7. Slater Determinant for Ground State Berylium
    8. Appropriate Orbitals for Water
    9. Molecular Orbital Filling Up Principle
  11. Statistical Mechanics
    1. Vibrational Rotational Energy Level Populations
    2. Most Probable States
    3. Bose-Einstein, Fermi-Dirac, and Boltzmann Counting
    4. Artificial System's Partition Function
    5. Artificial System's Partition Function (II)
    6. Artificial System's Temperature
    7. Two Electronic State Population Determination
    8. Simplified Partition Coefficient Computation
  12. Magnetic Resonance Spectroscopy
    1. Magnetism and the Bohr Atom
    2. Frequency of NMR Transition
    3. Differencnce of NMR Frequencies
    4. Two Proton NMR Spectrum (A-X), No Spin Coupling
    5. Two Proton NMR Spectrum (A-X), With Spin Coupling
    6. Two Proton (A-A) NMR Spectrum


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The material on this site was authored by
Carl W. David
Department of Chemsitry
University of Connecticut
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david@uconnvm.uconn.edu