Consider a system with energy levels Ej =jE and N molecules.
(a) Show that if the mean energy per molecule is ae, then the temperature is given by
Evaluate the temperature for a system in which the mean energy is E, taking E equivalent to 50 cm-I
(b) Calculate the molecular partition function q for the system when its mean energy is ae.
(c) Show that the entropy of the system is Slk= (1 +a) In(1 + a) - a In a and evaluate this expression for a mean energy E.