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: 9780136782490

Author: Walker

Publisher: PEARSON CO

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The Bohr model

Students often get confused between Rutherford’s model and Bohr model of an atom. They interpret the postulates of both these models to be the same, which is incorrect. Rutherford’s model differs from Bohr’s model in the following ways:

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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?

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Assume the electron in a hydrogen atom is 53.0 pm from the nucleus of the atom, which consists of a single proton. (a) calculate the electrical force between the electron and the nucleus. (b) Calculate the gravitational force between the electron and the nucleus. (c) What is the ratio of the gravitational force to the electrical force?

Chapter 31 Solutions

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