Entropy
1) A system is composed of four distinguishable molecule (A, B, C, and D) as shown below. There are three energy states and each molecule must be in one of the only three available states with energies E1, E2 and E3. Each possible molecular state is labelled according to its energy, E1=1, 2, and 3, respectively, with all possible states shown below.
a) If the total energy of the entire system is 6, what is the total number of microstates available to the system?
b) If the total energy of the system is 6, what is the entropy of the system?
c) What is the entropy of the system if the total energy of the system is 4?
d) Now, suppose that each molecule has four possible states available to it, E=1, 2, 3, and 5. How does this change your answer to part (a)?