(a) Compute the total number of helium atoms.
(b) The cover is now slid off the hole (Which is about the size of a dime). When everything has settled down again, by what factor has the multiplicity changed? Briefly, why? Also, what is the change in entropy? (Take the walls to be thermally insulating.)
(c) If we did not uncover the hole (and hence kept the gas volume at its initial value) but wanted to produce an entropy change of the same numerical amount, what should we do? Describe the process verbally and be quantitatively precise wherever you can be.