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Solved: There is relatively little empty space between
Chapter 11, Problem 10(choose chapter or problem)
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 )?
Questions & Answers
QUESTION:
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 )?
ANSWER:
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
