   Chapter 9, Problem 5P

Chapter
Section
Textbook Problem

The nucleus of an atom can he modeled as several protons and neutrons closely packed together. Each particle has a mass of1.67 × 10−27 kg and radius on the order of 10−15 m. (a) Use this model and the data provided to estimate the density of the nucleus of an atom, (b) Compare your result with the density of a material such as iron. What do your result and comparison suggest about the structure of matter?

(a)

To determine
The estimation of the density of the nucleus of an atom.

Explanation
In the nucleus of an atom, if the particles are closely packed with negligible space between them, then the average nuclear density should be approximately would be either that of a proton or neutron that is ρnucleus=mproton/Vproton=mproton/[(4/3)πr3] .

Given info: The radius of that of nucleus is 1×1015m and mass of the particle is 1.67×1027kg .

The formula for the estimation of the density of the nucleus of an atom is,

ρnucleus=mproton(4/3)πr3

• mproton is mass of proton.
• r is radius of the nucleus.

Substitute 1

(b)

To determine
The comparison of the result of nuclear density of an atom with the density of a material such as iron.

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