The snowboarder in Figure P21.3 starts at the top of a snow-covered hill and boards down the

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The snowboarder in Figure P21.3 starts at the top of a snow-covered hill and boards down the hill, which produces a change in entropy \(\Delta S_{1}\). At the bottom, she slides over a patch of grass, which quickly slows her down and produces a change in entropy \(\Delta S_{2}\). She then climbs back up and slides down the other side of the hill, which is covered in ice rather than snow, producing a change in entropy \(\Delta S_{3}\). Rank the entropy changes by magnitude, smallest first.

Data from Figure P21.3

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