4. An isolated system consists of molecules that convert between two colors (green and yellow). There are spaces for 30,000 molecules (M), but there are only 12,000 molecules (Ng+Ny) in the system. The system is in a state with 5,000 green molecules and 7,000 yellow molecules.

a). What is the entropy of the system in B? Use Stirlings approximation.

b). When the system converts to a final state with 10,000 green molecules and 2,000 yellow molecules. What is the change of entropy of this conversion in units of B?

c). Based on the entropy change above, would the conversion in (b) occur spontaneously?