123.201 Study Guide - Quotient Rule, Lagrange Multiplier, Weighted Arithmetic Mean

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Statistical mechanics relating the thermodynamic properties to behaviour at an atomic level. There are a variety of ways that a molecule can store energy: The quantum states are the certain values that are allowed for each type of energy (as all the types of energy above are quantised) I = the energy of quantum state i ni = the number of molecules in quantum state i. The entropy is a measure of the spread of the occupied levels. Basic probability concepts na = represent the number in the category a. Independent events occur when the outcomes in each event does not depend on the outcome of any other events. Mutually exclusive events is when one outcome prevents that value from being obtained as an outcome of any of the other events. Multiplicity of events is a weighting for each type of event. There can be multiple ways of the same outcome occurring.