Chapter 4 Multiple choice questions

. Which one of the equalities below expresses a correct relationship between the molecular partition function, q, and the canonical partition function, Q?

lnq = N ln Q

Q^N = (q^N)²

. Consider the three collections of particles (ensembles) named microcanonical, canonical and grand canonical. Which one physical property is constant in all three ensembles?

Total number of particles N

Pressure, p

Volume, V

Temperature, T

. Consider the general labelling of systems as open, closed, or isolated. The first allows the exchange of matter and energy with its surroundings; the second allows only the exchange of energy, whereas the third allows no exchange at all.
Which one of the following statements is correct?

An open system obeys the rules of the canonical ensemble.

An open system obeys the rules of the microcanonical ensemble.

A closed system obeys the rules of the microcanonical ensemble.

An isolated system obeys the rules of the canonical ensemble.

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