Consider 2 two-state paramagnet systems, A and B, each containing 4 dipoles, in a magnetic field....

Consider 2 two-state paramagnet systems, A and B, each containing 4 dipoles, in a magnetic field. The dipoles in System A are completely aligned, so N↑- N↓ =4. The dipoles in System 2 are completely random, N↑ = N↓. The two systems are brought together so that energy is exchanged between them. Energy conservation requires that the magnetic moment, and therefore the net spin, is unchanged, so that in equilibrium we have a system of eight dipoles with N↑ - N↓ =4.

What is the multiplicity of combined system before and after they are brought into contact?
What is the entropy of the combined system before and after they are brought into contact?
Is this process permitted by the second law of thermodynamics?

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genius_generous answered 1 year ago

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