9) Using a probabilistic expression for the entropy, compare the multiplicity of these three different energy distributions. For simplicity, compare Case 1 with Case 3 and Case 2 with Case 3. Our system consists of two different energy systems, A and B, that are in thermal contact and can exchange energy (Figure 1). Figure 1: Example of some energy distributions for a small number of molecules in A and B. In your problem you either have 10,000 molecules or 500 molecules. UA-6 UA-12 Parameters of the system: NA=NB = 10,000 molecules UA + Ug = 6000 energy units a. Case 1: 10% of the energy from A has been transferred to B (Assume that they start off with equal amounts of energy) b. Case 2: 1% of the energy from B has been transferred to A (Starting off with equal amounts of energy in each system) c. Case 3: Equal amounts of energy in each system 9) Using a probabilistic expression for the entropy, compare the multiplicity of these three different energy distributions. For simplicity, compare Case 1 with Case 3 and Case 2 with Case 3. Our system consists of two different energy systems, A and B, that are in thermal contact and can exchange energy (Figure 1). Figure 1: Example of some energy distributions for a small number of molecules in A and B. In your problem you either have 10,000 molecules or 500 molecules. UA-6 UA-12 Parameters of the system: NA=NB = 10,000 molecules UA + Ug = 6000 energy units a. Case 1: 10% of the energy from A has been transferred to B (Assume that they start off with equal amounts of energy) b. Case 2: 1% of the energy from B has been transferred to A (Starting off with equal amounts of energy in each system) c. Case 3: Equal amounts of energy in each system