(II) (a) Complete the following nuclear reaction, ...

$\begin{array}{llllll}\text { (II) } & \text { (a) Complete the following nuclear reaction, }\end{array}$ $\mathrm{p}+? \rightarrow{ }_{16}^{32} \mathrm{~S}+\gamma .$ (b) What is the $Q$ -value?

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Key Concepts

Conservation Laws in Nuclear Reactions

In any nuclear process, conservation of the atomic number and mass number (or nucleon number) is essential. This requirement ensures that the total number of protons and the sum of protons plus neutrons remain the same before and after the reaction, which is fundamental for determining unknown reactants or products in a nuclear equation.

Mass-Energy Equivalence

Mass-energy equivalence, encapsulated in Einstein's equation E=mc², allows for the conversion of a mass defect into energy in nuclear reactions. This principle is crucial when calculating the energy released or absorbed, as even a small discrepancy in mass can correspond to a significant amount of energy.

Nuclear Reaction Q-value

The Q-value of a nuclear reaction represents the net energy change resulting from the process. It is determined by calculating the difference in mass between the Reactants and Products and then converting this mass difference into energy using mass-energy equivalence. A positive Q-value indicates energy release, while a negative Q-value implies energy absorption.

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