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Finds the theoretical density of a solid that crystallizes into a face-centered cubic unit cell, where a = 3.48 Å and its molecular weight 40 g / mol

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Janice is grilling a steak for her July 4th barbecue dinner. The steak initially weighs 300 grams and is 25 mm thick. After grilling it for a while, she considers the steak done, and measures it again: it now weighs 215 grams, and is 15 mm thick. For both the cooked and uncooked steak, she uses the thumb-test to determine the done-ness, i.e. she uses her thumb (area ~5cm2) to push down with a force of 5 N. The uncooked steak compresses by 7 mm, and the cooked steak by 2 mm. The change in elasticity of the steak on cooking is due partly to the loss of water volume (so that existing bonds get closer together) and partly to the creation of new bonds. Assume all of the difference in raw vs. cooked steak thickness is due to water loss that makes it thinner (25 mm thick in the uncooked steak, versus 15 mm thick in the cooked steak), and that the other dimensions of the steak (length and width) have not changed. By what percentage has the steak's volume decreased from the original value?…
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