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# There is relatively little empty space between atoms in ISBN: 9780130606204 3

## Solution for problem 10PE Chapter 11

Physics: Principles with Applications | 6th 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:

Step-by-step solution Step 1 o f 14 Maximum mass of an atom is situated at the nucleus of the atom so the density of the nucleus is greater than the density of the atom. Step 2 o f 14 (a) Therefore, …… (1) Here, is density, is mass, is volume of the substance. Step 3 o f 14 Average density of atom is, . Volume of an atom is, Here is the radius of the atom. Step 4 o f 14 From equation (1), density of atom is, Step 5 o f 14 Substitute the value of and in the above equation. …… (2) The mass of nucleus is almost same as the mass of atom, so . The nucleus of an atom has radius about that of an atom. Step 6 f 14 Therefore, Volume of nucleus is, Here, is the radius of nucleus. Step 7 f 14 From equation (1), density of nucleus is,

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##### ISBN: 9780130606204

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