Please provide a full solution to the attached "Question 3" (a second year course: Thermal Physics)

User Generated

Nepghehf

Science

Description

Please provide a full solution to the attached question (a second year course: Thermal Physics, subjects: statistical mechanics, entropy, multiplicity).

Please write solutions on paper and send photos. Thank you very much.

I am preparing for an exam and don't have time for this, however, I have a high mark in this class and can't afford to let it drop. Please complete it perfectly, you'll have money and my immense gratitude! Thank you!

Unformatted Attachment Preview

Question 3. One mole of helium in a 0.03 m² container is in thermal contact with one mole of spins of a two-state paramagnet, and the two systems are able to exchange energy. A magnetic field B is present. The entropy of a two-state paramagnet with N spins and energy U, in a magnetic field B, is U U U 1 U S(UN,B) = -NkB In + In + 2NpB 2 2NβB , 2NμΒ, 2' 2NB, where u is the magnetic moment of a single spin. Initially, the helium gas has 5000 J of energy, and the two state paramagnet has 4000 J of energy. The magnetic field strength is such that NAB = 8000 J, where NA is Avogadro's number. Helium is an ideal gas under these conditions. (a) [6 points] Use a computer to plot the entropy (in J/K) of the combined system as a function of the energy (in Joules) in the two-state paramagnet, for all possible macrostates of the combined system. Explain how you obtained your plot and provide the formulae that you plot. Assume the combined system is isolated. (b) [2 points] The system evolves from the initial conditions to a final equilibrium. Which sub-system loses energy during this evolution? From your plot in (a), estimate how much energy is in the two-state paramagnet in equilibrium. (c) [2 points] What is the temperature of the combined system in equilibrium? (d) [2 points] What is the magnetization (in units of JNA) of the two-state paramagnet in equilibrium?
User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

This question has not been answered.

Create a free account to get help with this and any other question!

Related Tags