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Old Mar 4th 2018, 04:49 PM   #1
FISMAQUIM
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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 = (4πr) / 3
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Old Mar 28th 2018, 08:47 AM   #2
pur80
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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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