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Determine the area of an oil slick formed by 1.0 cubic meter of oil if an oil slick consists of a sinle layer of molecules and each molecules occupies a cube 1.0 nanometer on a side?
Reschelle
We don't know anything about how closely the molecules are packed in that 1m3 macro-sample of oil. But just to have fun with it, let's assume that the molecules are in fact cubical and close-packed. 1 meter = 109 nanometers 1 meter3 = (109 times 109 times 109) nanometers3 = 1027 little molecular cubies. If these are spread out in a single-layer film with the same volume, then assuming it takes the convenient shape of a rectangle, the volume could be L x W x H = 1013.5 x 1013.5 x 1 nanometer3 The area of the film is (1013.5+13.5-9-9) meter2 = 109 meter2 That area could be a square of 104.5 = 31,622.78 meters (rounded) = about 19.6 miles on a side !
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