fraction of the volume of the atom that is taken up by the nucleus is 1.07x10⁻¹³Å³
Sphere volume is calculated by formula =
V=4/3(πr³) , V is volume , r is radius
Radius = diameter/2
Radius of atom = 2/2=1
Radius of nucleus = (9.50x10⁻⁵)/2 = 4.75x10⁻⁵
now we may calculate the volume for the atom and the nucleus
atom volume = (4/3) × 3.14 × (1 )³ = 4.186 ų
nucleus volume = (4/3) × 3.14 × (4.75× 10⁻⁵)³ = 4.48 × 10⁻¹³Å³
now the fraction of volume of the atom that is taken up by the nucleus:
fraction = nucleus volume / atom volume
fraction =4.48 × 10⁻¹³/4.186 = 1.07x10⁻¹³Å³
learn more about volume of atom and nucleus here_
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