Question 4(a) Suppose there are N particles placed on lattice sites with a Spin is localized on a lattice site with all have associated magnetic moment p and placed in a magnetic field induction | along the z direction, calculate entropy of the system and the equation of state for this case. (8 Marks) (b): By keeping the Temperature (T) and Volume (V) constant find the relation between the change in Entropy(S) and pressure(P), also find a relation between Temperature (T) and pressure(P) by keeping Entropy(S) and Volume (V) constant. (2 Marks)