Show that the third law of thermodynamics requires the heat capacity of bodies to go to zero at temperature T → 0.
The equipartition theorem implies a constant heat capacity.
Explain the reason for this contradiction.
It is sometimes stated that the Third law of thermodynamics implies the unattainability of Absolute zero. Show how a hypothetical system violating the third law can be used to reduce the temperature to T = 0 in a finite number of steps. Show how this is no longer possible if the system obeys the third law.