Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 33 - Astrophysics and Cosmology - Search and Learn - Page 983: 5

Answer

The ratio of the mass of the hydrogen to the mass of helium is 3:1.

Work Step by Step

We are told that there are 7 times as many protons as there are neutrons. So, for every 2 neutrons, there are 14 protons. A helium atom consists of 2 protons and 2 neutrons. A hydrogen atom consists of 1 proton. Two of the 14 protons combine with the 2 neutrons and make a helium atom of mass 4 u. The remaining 12 protons make 12 hydrogen atoms, with total mass of 12 u. There are 12 times as many H atoms as He atoms. Because H atoms have 1/4 the mass of He atoms, the ratio of the mass of the hydrogen to the mass of helium is 3:1. This was to be shown.
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