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2. (15 pts) Using Boltzmann's equation (S = kB In W), where kB = 1.381 x 10-23 J K-¹, you can estimate the entropy of an ideal gas. For this example, consider 1 mol of neon atoms in 0.0224 m³ of total volume.The volume of each argon atom is 3.1 x 10-28 m³. 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 + N space = 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.

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