Consider a cup (1/4 liter) of water. Each molecule has six degrees of freedom (three translational and three rotational).
(a) Roughly how many water molecules are in this system?
(b) If you raise the temperature of the cup of water from room temperature (295 K) to boiling, the system’s thermal energy increases by what factor? (Assume that u0 remains constant.)
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(c) Estimate the factor by which the density of states increases when the temperature of a cup of water is raised from room temperature to the boiling point.