Calculate the approximate temperatures at which the following energy storage modes of a nitrogen molecule become "unfrozen" (that is, when their heat capacities become at least half their respective maximum values).
(a) The kinetic energy mode (ε ~ 10^-7 eV)
Temperature: ____ mK
(b) The rotational energy mode (ε ~ 0.00025 eV)
Temperature: _____ K
(c) The vibrational energy mode (ε ~ 0.29 eV)
Temperature: _____ K