S(B, T) ↑ (3) B₁
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![S(B, T)
1
T₁
T
Figure A1
Figure A1 shows the entropy S of a paramagnetic solid as a function of its
temperature T and imposed magnetic field B. Adiabatic cooling consists in bringing
the system from state 1 to 3 by making it undergo an isothermal change of
magnetic field from 1 to 2 followed by an isentropic adiabatic process from 2 to 3.
The entropy of the solid can be approximated by the equation
S(B,T) = So — K
B²
T2'
-
where K is a positive constant and Så is some reference entropy value.
(a) Find the expression of the heat Q₁2 received by the system during the
isothermal process from state 1 to 2. Discuss the meaning of its sign.
(b) Express the final temperature T3 as a function of B₂ and T₁.
3
T3
B₁ < B₂
B₂](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F59e56c88-ee2e-4d60-90cb-58b6c6618de4%2Fa75fe81a-4e07-4c19-bc73-0f5046a807f2%2Fqsmijm_processed.png&w=3840&q=75)
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