Pinheads and Bullion Cubes

Pinheads and Bullion Cubes - -24 grams) = 3.32 x 10-24...

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Pinheads and Bullion Cubes Pinheads have a diameter of about 1 x 10 -3 meters (a millimeter across). If an atom had a diameter of 2.5 x 10 -10 meters, then (1 atom/2.5 x 10 -10 meters) * (1 x 10 -3 meters) = 4 x 10 6 atoms i.e. four million of them could line up across the head of a pin. The diameter of atomic nuclei are about 10 -4 Å. Thus , the nuclei is about 0.01% the diameter of the atom as a whole . If the nucleus had a diameter equal to that of a pinhead, then the atom itself would have a diameter of some 10 meters ( about 39 and a half feet ). The nucleus of an atom is therefore quite dense . Consider a simple case of a nucleus containing 1 neutron and 1 proton: mass of nucleus = ~2.0 amu = 2 * (1.66 x 10
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Unformatted text preview: -24 grams) = 3.32 x 10-24 grams diameter of nucleus = (approximately) 1 x 10-4 = 1 x 10-14 meters radius of nucleus = 1 x 10-14 meters/2 = 0.5 x 10-14 meters volume of nucleus = (4/3) (radius of nucleus) 3 volume of nucleus = 5.24 x 10-43 meters 3 mass/volume = 3.32 x 10-24 grams/5.24 x 10-43 meters 3 mass/volume = 6.34 x 10 18 grams/meter 3 a bouillon cube (stuff you can make soup out of if you are really broke) is about one cubic centimeter, or 1 x 10-6 meters 3 and if it were made up of atomic nuclei it would weigh: (1 x 10 18 grams/meter 3 ) * (1 x 10-6 meters 3 ) = 6.34 x 10 12 grams or about six billion kilograms, or about 2.8 billion tons ....
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This note was uploaded on 11/22/2011 for the course CHEMISTRY CHM1025 taught by Professor Laurachoudry during the Fall '10 term at Broward College.

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