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 Mar 4th 2018, 04:49 PM #1 FISMAQUIM Junior Member   Join Date: Mar 2018 Location: Brazil Posts: 3 Carbon In 1996, the Nobel Prize in Chemistry was awarded to scientists who discovered a molecule in the form of a soccer ball, called fullerene (C60). Besides this substance, graphite and diamond are also made of carbon. The densities of these substances, not necessarily in the order presented, are: 3.5; 1.7 and 2.3 g / cm 3. Based on the average distances between carbon atoms, choose the appropriate density and calculate the mass, in grams, of a sphere of 2 cm diameter fullerene. Data: Mean distance between carbon atoms in nanometers (10 ^ 9 m) diamond .................. 0.178 fullerene .................... 0.226 graphite Sphere Volume V = (4πr³) / 3
 Mar 28th 2018, 08:47 AM #2 pur80 Junior Member   Join Date: Mar 2018 Location: / Posts: 3 hello FISMAQUIM, i think the mean distance in diamond and graphen will be approximately the same but not in fullerene, because of the bulkiness. So fullerene will have the lowest density because less atoms per unit volume. density from wiki confirms: graphite 2.3 & diamond 3.5 Now we can calculate the the mass: mass[g] = Volume[cm^3]*density[g/cm^3] and Volume= (4pi*r^3)/3 where r = diameter/2 = 1cm so m = (4pi/3)*0.178 ~ 0.2g

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