1. [6] Consider a system of two small "spin 1/2 paramagnets" (dipole moments =9.271024Am2, in an external magnetic field B=1.0T ). The first has N1=6 spins, the second has N2=12 spins. Initially, the two subsystems are isolated from each other and have 5 and 7 spins "up" (parallel to B ), respectively, i.e. n1=5 and n2=7. The two systems are then put in thermal contact and equilibrium is established. (a) What are the initial and final numbers of microstates of the entire system, Wtotali and Wtotalf ? What is the entropy change in this process? (b) What are the most probable values of n1 and n2 in equilibrium? (c) Calculate the final temperature Tf of the system. (d) By how much would the entropy change if the entire system was heated to high temperature? Is room temperature (300K) "high" in this context