What is the temperature of the system

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Reference no: EM131360984

Consider a system having 10²⁴ spin-1/2 particles. The z-component of the magnetic moment of each is ±µB (µB = 9.27 × 10^-24J/T). They are sitting in a magnetic field, in the +z direction, of 0.5 tesla.

(a) If 70% of the particles are spin up, what is the temperature of the system? (Hint: Use classical statistics.)

(b) If in state 1 70% of them are spin up, and in state 2 69.9% are spin up, find the change in entropy in going from one state to the other.

(d) If you use 1/T = ?S/?E, do you get the same temperature as in part (a)?

(e) If the system is insulated from its environment and the magnetic field is reduced to 0.000 001 tesla, the magnetic moment remaining unchanged, what is the new temperature of the system?

Reference no: EM131360984

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