Explanation Given info: The radius of hydrogen atom is 5.3 × 10 − 11 m , the diameter of nucleus of hydrogen atom is 1.0 × 10 − 15 m . The formula to calculate radius of nucleus of hydrogen atom is, r = d 2 Here, r is the radius of nucleus. d is the diameter of nucleus. Substitute 1.0 × 10 − 15 m for d in the above equation to find r . r = 1.0 × 10 − 15 m 2 = 0.5 × 10 − 15 m The formula to calculate volume of sphere is, V = 4 3 π r 3 Here, V is the volume of sphere. r is the radius of sphere. Substitute 5.3 × 10 − 11 m for r and 3.14 for π in equation (1) to calculate volume of hydrogen atom. V = 4 3 × 3.14 × ( 5.3 × 10 − 11 m ) 3 = 6.23 × 10 − 31 m 3 Substitute 1.0 × 10 − 15 m for r and 3

5th Edition

ISBN: 9780321976444

Author: James S. Walker

Publisher: PEARSON

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The Bohr model

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Chapter 31, Problem 1PCE

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The fraction of volume occupied by nucleus in the hydrogen atom.

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Chapter 31, Problem 9CQ

Chapter 31, Problem 2PCE

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The nucleus of a certain atom has a radius of 4.0 × 10^-15 m. An electron orbits the nucleus at a radius of 1.5 × 10^-10 m. Imagine the electron orbit is on the surface of a sphere and that the shape of the nucleus is spherical. Approximately how many nuclei would fit into the sphere on which the electron orbits?

What is the density in kg/m3 of the material in the nucleus of the hydrogen atom? The nucleus can be considered to be a sphere of radius 1.2 x 10-15 m, and its mass is 1.67 x 10-27 kg.

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Chapter 31 Solutions

Physics (5th Edition)

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