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Solved: There is relatively little empty space between

College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs ISBN: 9781938168000 42

Solution for problem 10PE Chapter 11

College Physics | 1st Edition

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College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs

College Physics | 1st Edition

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Problem 10PE

There is relatively little empty space between atoms in solids and liquids, so that the average density of an atom is about the same as matter on a macroscopic scale—approximately 103 kg/m3 . The nucleus of an atom has a radius about 10−5 that of the atom and contains nearly all the mass of the entire atom. (a) What is the approximate density of a nucleus? (b) One remnant of a supernova, called a neutron star, can have the density of a nucleus. What would be the radius of a neutron star with a mass 10 times that of our Sun (the radius of the Sun is 7×108 m )?

Step-by-Step Solution:

Part (a)

Step 1 of 7:

The atoms in solids and liquids contain void space. There is no matter inside the atom except the atomic particles. Hence the average density on the macroscopic scale remains same. The approximate atomic density is provided. Most of the mass of the atom is concentrated in the nucleus. The radius of the nucleus is about 10-5 times than that of the atom. We are going to calculate the density of the nucleus.

The radius of the atom

The radius of the nucleus

The mass of the nucleus = the mass of the atom

Step 2 of 7:

The density of the nucleus is expressed as

Considering the nucleus as perfect sphere, the volume is given as

Therefore the density is rewritten as

Solving for mass of nucleus

Step 3 of 7:

The density of the atom is expressed as

the volume is given as

Therefore the density is rewritten as

Solving for mass of atom

Step 4 of 7:

Since the mass of the nucleus is almost equal to the mass of the atom, we can compare the equations (2) and (4). Therefore

Substituting the value of the radius of the nucleus, the density of the atom and dividing the common terms, we get

Hence the density of the nucleus is 1018 kg/m3.

Part (b)

Step 5 of 7

Chapter 11, Problem 10PE is Solved
Step 6 of 7

Textbook: College Physics
Edition: 1
Author: Paul Peter Urone, Roger Hinrichs
ISBN: 9781938168000

The answer to “There is relatively little empty space between atoms in solids and liquids, so that the average density of an atom is about the same as matter on a macroscopic scale—approximately 103 kg/m3 . The nucleus of an atom has a radius about 10?5 that of the atom and contains nearly all the mass of the entire atom. (a) What is the approximate density of a nucleus? (b) One remnant of a supernova, called a neutron star, can have the density of a nucleus. What would be the radius of a neutron star with a mass 10 times that of our Sun (the radius of the Sun is 7×108 m )?” is broken down into a number of easy to follow steps, and 110 words. This full solution covers the following key subjects: atom, nucleus, Density, radius, neutron. This expansive textbook survival guide covers 34 chapters, and 3125 solutions. Since the solution to 10PE from 11 chapter was answered, more than 2105 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 10PE from chapter: 11 was answered by , our top Physics solution expert on 07/07/17, 04:39PM. This textbook survival guide was created for the textbook: College Physics , edition: 1. College Physics was written by and is associated to the ISBN: 9781938168000.

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Solved: There is relatively little empty space between