Question
Two small systems A1 and A2 are in good thermal contact. The number of states accessible to each system increases with its energy according
Two small systems A1 and A2 are in good thermal contact. The number of states accessible to each system increases with its energy according such that Q1=ci U13 and 22= c2 U22, where c1 and c2 are constants of proportionality. The total energy of the system is fixed at Utotal=U1+U2=10eV. (A) What are the values of U1 and U2 when these two systems A1 and A2 are in thermal equilibrium? (10 points) (B) What is the absolute entropy of the combined system (Stotal) at thermal equilibrium. For simplicity in this calculation assume: c=1 eV-3 and c2=1 eV2. Express your answer in terms of the Boltzmann constant (KB). (5 points) (C) What is the temperature of the combined system at thermal equilibrium? (5 points)
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