Carbon-12 contains 6 protons and 6 neutrons. The radius of the nucleus is approximately 2.7 fm, and the radius of the atom is approximately 70 pm. Calculate the volume of the nucleus and the volume of the atom. What percentage of the carbon atom's volume does the nucleus occupy?
Estimate the volume to be approximated by the shape of a sphere: V = (4/3)(pi)(r^3) V(nucleus) = (4/3)(pi)(2.7x10^-3 pm)^3 = 8.2x10^-5 pm^3 V(atom) = (4/3)(pi)(70 pm)^3 = 2.0x10^4 pm^3 The percentage of the volume of the atom occupied by the nucleus is: [V(nucleus)/V(atom)]x100% [(8.2x10^-5 pm^3)/(2.0x10^4 pm^3)] x 100% = (4.1x10^-7) %