# Problem 4: [12 points] There are two systems, each consisting of a large number of interacting at... Problem 4: [12 points] There are two systems, each consisting of a large number of interacting atoms. For system 1 the entropy as a function of energy is S,-AE1/2, while for system 2 we have S,-BEV4 Here A and B are constants. The two systems are now placed in thermal contact, and allowed to reach equilibrium. a) [6 points Evauate E2 as a function of A, B, and E1 b) [6 points] What is the heat capacity of system 1 as a function of A and the temperature T1?  #### Earn Coin

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