a) 1000He atoms expand from an initial volume of 1.00L to a final volume of 100L. Use Boltzmann's formula S=kBlnW to calculate the entropy change S (in JK1 ). Hint: Think of the final volume as 100 "boxes", each of which has a volume of 1.00L. Then, consider how many possibilities there are to randomly "throw" 1 atom into 100 boxes. Next, consider how many possibilities there are to randomly "throw" 2 atoms into 100 boxes. By following this line of thought, you can calculate Wtot for 1000 atoms. b) In Thermodynamics (Chem2374) the expression dS=dqrev/T was used to derive the following equation for the entropy change associated with gas expansion: S=nRlnVinitialVfinal Repeat the calculation from (a) using this thermodynamic equation. Compare the result with that of (a)