Problem: Carbon-12 contains 6 protons and 6 neutrons. The radius of the nucleus is approximately 2.7 fm (femtometers) and the radius of the atom is approximately 70 pm (picometers).What percentage of the carbon atoms volume is occupied by the nucleus? (Assume two significant figures.)

FREE Expert Solution

The volume of a sphere is given by:


V=43πr3


Comparing ratio of volume of nucleus to volume of atom: 


:volume of nucleusvolume of atom=43π(rnucleus)343π(ratom)3volume of nucleusvolume of atom=(rnucleus)3(ratom)3


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Problem Details

Carbon-12 contains 6 protons and 6 neutrons. The radius of the nucleus is approximately 2.7 fm (femtometers) and the radius of the atom is approximately 70 pm (picometers).

What percentage of the carbon atoms volume is occupied by the nucleus? (Assume two significant figures.)

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