1Consider temperature units in which 
= 1. Such units are
commonly used by European authors. Assuming that the
unit of energy is (a) the Joule or (b) the electron volt, compute the boiling
and freezing points of pure water at 1 atmosphere pressure, and compute room
temperature. (If you are an unreconstructed engineer, use the foot-pound and
the British Thermal Unit as your energy units.)
2 For N=1, the canonical and microcanonical ensembles have rather simple forms. In either ensemble, the position space component of phase space is the volume of the system. For the canonical ensemble, the momentum space component of phase space extends out to infinity in all directions. What is the geometric form of the momentum-space component of the 1-particle microcanonical ensemble? Justify the text's description of the canonical ensemble as an onion, the inidividual shells of the onion being complete microcanonical ensembles.