please explain and DO NOT COPY AN ALREADY EXIST ANSWER. I have seen them and I did not like them!

Using Boltzmann's equation (S = ke In W), where kb = 1.381 x 10-23 J K+, you can estimate the entropy of an ideal gas. For this example, consider 1 mol of neon atoms in 0.0224 m of total volume. The volume of each argon atom is 3.1 x 10-28 m. For this problem, divide the total space into argon atom equivalents (N), where each volume equivalent contains either an argon atom or an empty space, and Nar + Nspace = N. From this, find S. Note: the factorials might be too large for your calculator, so use Stirling's approximation: In N! - N*In N - N