An Introduction to Modern Astrophysics · Problem 10.14

The Sun — Carroll & Ostlie

Physics — Astrophysics · nuclear-reaction-sequences

Problem

Complete the following reaction sequences. Be sure to include any necessary leptons. (a) 1427Si→1327Al+e++?{}^{27}_{14}\mathrm{Si} \rightarrow {}^{27}_{13}\mathrm{Al} + e^+ + {?} (b) 1327Al+11H→1224Mg+24?{}^{27}_{13}\mathrm{Al} + {}^1_1\mathrm{H} \rightarrow {}^{24}_{12}\mathrm{Mg} + {}^4_2{?} (c) 1735Cl+11H→1836Ar+?{}^{35}_{17}\mathrm{Cl} + {}^1_1\mathrm{H} \rightarrow {}^{36}_{18}\mathrm{Ar} + {?}
Intuitive explanation

Nuclear reactions must conserve both mass number (total nucleons) and atomic number (total protons). When a nucleus transforms or collides, track what's missing by comparing the totals on each side—that missing piece is your answer. Pay special attention to beta-plus decay, which emits a positron and always requires a ghostly partner to balance the books.

Intuitive explanation

Nuclear reactions must conserve both mass number (total nucleons) and atomic number (total protons). When a nucleus transforms or collides, track what's missing by comparing the totals on each side—that missing piece is your answer. Pay special attention to beta-plus decay, which emits a positron and always requires a ghostly partner to balance the books.

Related theory

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