Assuming the diameters of the nucleus and atom are 10−4 å and 1 - 5 å correspondingly, what fraction of the volume of the atom i

Question

Vladimir79 [104]

3 years ago

9

Assuming the diameters of the nucleus and atom are 10−4 å and 1 - 5 å correspondingly, what fraction of the volume of the atom i

s taken up by the nucleus?

Chemistry

1 answer:

Scilla [17] · Answer 1 · 2022-05-20T16:31:03+03:00

Scilla [17]3 years ago

5 0

The diameter of nucleus = 10₁ $10^{-4}$ A° and atom = 1.5 A°. Radius of nucleus = $\frac{10^{-4} }{2}$ A° and radius of atom = $\frac{1.5}{2}$ A°. The fraction of volume taken by nucleus = $\frac{volume of nuclues}{Volume of atom}$ = $\frac{4}{3}\pi\(\frac{(10^{-4} }{2})^{3}$ / $\frac{4}{3}\pi\(\frac{(10^{-4} }{2})^{3}$ .

Or, $\frac{10^{-4} }{1.5})^{3}$ = 2.95× $10^{-13}$ . This is the fraction of volume of nucleus in atom.