Physics: Principles with Applications (7th Edition)

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

Chapter 30 - Nuclear Physics and Radioactivity - Problems - Page 882: 54

Answer

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Work Step by Step

Balance the atomic mass and atomic weight numbers to determine the daughter nuclei. Neutrinos are not shown. First sequence $$^{232}_{90}Th\rightarrow\;^{228}_{88}Ra +\;^{4}_{2}\alpha $$ $$^{228}_{88}Ra \rightarrow\;^{228}_{89}Ac +\;^{0}_{-1}\beta $$ $$^{228}_{89}Ac \rightarrow\;^{228}_{90}Th +\;^{0}_{-1}\beta $$ $$^{228}_{90}Th\rightarrow\;^{224}_{88}Ra +\;^{4}_{2}\alpha $$ $$^{224}_{88}Ra\rightarrow\;^{220}_{86}Rn +\;^{4}_{2}\alpha $$ Second sequence $$^{235}_{92}U\rightarrow\;^{231}_{90}Th +\;^{4}_{2}\alpha $$ $$^{231}_{90}Th \rightarrow\;^{231}_{91}Pa +\;^{0}_{-1}\beta $$ $$^{231}_{91}Pa \rightarrow\;^{227}_{89}Ac +\;^{4}_{2}\alpha $$ $$^{227}_{89}Ac \rightarrow\;^{227}_{90}Th +\;^{0}_{-1}\beta $$ $$^{227}_{90}Th \rightarrow\;^{223}_{88}Ra +\;^{4}_{2}\alpha $$
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