# Entropy and temperature of the system

1. Mar 22, 2007

### PeterPoPS

1. The problem statement, all variables and given/known data
... Show that the entropy of the system in the microcanonical ensemble is

$$W = \frac{N!}{n!(N-n)!}3^n$$

and obtain an expression for the temperature of the system. ...
N = number of molecules
n = number of molecules in orthostate

2. Relevant equations

3. The attempt at a solution
This question makes no sense, right? Because it says the entropy is W which is just a number, and entropy is in the units Joule/Kelvin

2. Mar 22, 2007

### Dick

It should probably be reworded. But entropy is defined as k_b*log(S) where S is the number of states corresponding to a given macroscopic state. The interesting quantity in the entropy is S and it looks like that's what they want you to find.