2. An ideal paramagnet with u= ub, is exposed to an external magnetic field of B=3T, at the minimum temperature of 2.5 K. Of course, if we increase the temperature, the number of N1 will change, affecting all other functions. If the total number of dipoles in this material is N, find the following, in terms of N: 1 a) What are the maximum values of energy, magnetization, and entropy for this system, and each at what temperature? At the 2.5 K: b) Calculate the energy of the system. c) Calculate the magnetization of the system. d) What fraction of the dipoles are in up position: N1/N? e) Calculate the entropy of the system