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Chem 113C – Final Exam Review Sheet
Stirling's Approximation
Probability and the Partition Function
Number of permutations – order/position is important:
Number of configurations/combinations – order/position is NOT important:
Partition function with degeneracy included:
Boltzmann distribution with degeneracy included:
Partition Function for Translational Energy
Partition Function for Rotational Energy
Partition Function for Vibrational Energy
Partition Function for Electronic Energy
Definitions for thermodynamic properties of a canonical ensemble
Average energy of one unit in an ensemble:
Total energy of an ensemble with N units:
Sackur-Tetrode Equation
For an isothermal (reversible) transformation:
Statistical Mechanics Definition of Pressure
Stat Mech Definition of Gibbs Free Energy
Equilibrium constant
Dissociation energy
Kinetic Model of Gases
Maxwell distribution of speeds
Most probable, average, root mean square, and relative speeds
