How to find fraction of atom occupied by nucleus?
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The idea here is that you need to calculate the volume of the nucleus and compare it to the volume of the atom.
In order to be able to do that, you need to assume that both the nucleus and the atom itself are spheres.
The volume of the nucleus will be
Vnucleus=4/3π⋅(10^−13.cm)³
The volume of the atom will be
Vatom=4/3π⋅(10^−8.cm)³
Divide the two volumes to get the fraction of the atom occupied by the nucleus
Vnucleus/Vatom=
(4/3π⋅(10^−13)³)cm³/(4/3π⋅(10^−8)³)cm³
You will end up with
Vnucleus/Vatom=(10^−13/10^−8)³
Vnucleus/Vatom=(10^-5)³
Vnucleus/Vatom=10^−15
This means that the nucleus occupies 1/10^15 of the volume of the atom.
In order to be able to do that, you need to assume that both the nucleus and the atom itself are spheres.
The volume of the nucleus will be
Vnucleus=4/3π⋅(10^−13.cm)³
The volume of the atom will be
Vatom=4/3π⋅(10^−8.cm)³
Divide the two volumes to get the fraction of the atom occupied by the nucleus
Vnucleus/Vatom=
(4/3π⋅(10^−13)³)cm³/(4/3π⋅(10^−8)³)cm³
You will end up with
Vnucleus/Vatom=(10^−13/10^−8)³
Vnucleus/Vatom=(10^-5)³
Vnucleus/Vatom=10^−15
This means that the nucleus occupies 1/10^15 of the volume of the atom.
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