# B) What is the change in entropy of the gas, , as a result of the...

###### Question:

b) What is the change in entropy of the gas, $\Delta \sigma$, as a result of the sudden expansion?

[18] Consider a box of volume V2 with a partition that separates a third of the box, V1 V2 /3, from the rest. Initially, V,contains N molecules of monatomic ideal gas at temperature ti, while the is empty. The walls of the box areL re well insulated. (a) [3] The partition is suddenly removed. No heat enters or leaves the box during the sudden expansion of the gas. What is the final temperature of the gas after the sudden expansion
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(c) [5] How much work would you have to do to compress the gas back to its initial volume? Again, assume that no heat is transferred to the outside world. Express your answer in terms of/N and t2/(This integral is a bit tricky. To avoid it, do part (d) first, then see if you can figure out an easier way to calculate the work done.)
(d)[5] What is the final temperature Express your answer in terms of t2. ofthe gas afterthecompression in part (c)?

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