Question #218281
Assuming that the atomic nucleus is spherical, calculate the volume of the nucleus given that it's radius is 10^-5 that of the atom with radius 10^-10m.
1
Expert's answer
2021-07-18T01:28:12-0400



The volume of the nucleus will be

Vnucleus=43π(105)3cm3V_ {nucleus} = \frac{4} 3 π ⋅ ( 10^ {− 5} )^3 cm^ 3

The volume of the atom will be

Vatom=43π(1010)3.cm3V_ {atom} = \frac{4} 3 π ⋅ ( 10^{ − 10} )^3 . cm 3

Divide the two volumes to get the fraction of the atom occupied by the nucleus

F

VnucleusVatom=43π(105)343π(1010)3=[1051010]3=1.0×1015\frac{V_{nucleus}}{V_{atom}}=\frac{\frac{4}{3}π(10^{-5})^3} {\frac{4}{3}π(10^{-10})^3}=[\frac{10^{-5}}{10^{-10}}]^3=1.0×10^{15}


This means that the nucleus occupies 1.0×10151.0×10^{15}  of the volume of the atom.



Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!
LATEST TUTORIALS
APPROVED BY CLIENTS