Question
This quantity is equal to the sum of exponentials of terms involving particle number and total energy for each microstate. For 10 points each:
[10h] Name this specific quantity that describes the statistics of a reservoir with constant volume, temperature, and chemical potential.
ANSWER: grand canonical partition function [prompt on partition function; reject “canonical partition function”]
[10m] The product of the particle number and chemical potential is subtracted from this quantity to get the grand partition function. This quantity is the work needed to extract a closed system at constant volume and temperature.
ANSWER: Helmholtz free energy [prompt on free energy; reject “Gibbs free energy”]
[10e] The exponential in the grand partition function contains the thermodynamic beta, which is the reciprocal of temperature multiplied by this eponymous constant, labeled as k-sub-b.
ANSWER: Boltzmann constant [accept Boltzmann’s constant]
<Ezra Santos, Physics>
Summary
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