A monatomic ideal gas is enclosed in a cubic box of side length (ell). While preserving the

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A monatomic ideal gas is enclosed in a cubic box of side length \(\ell\). While preserving the cubic shape, the container volume is decreased until the side length is halved, and this change causes the pressure in the box to triple.

(a) What is the change in entropy per particle of gas in the box?

(b) Is this system closed? .

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