Complete each of the following nuclear equations by...

Complete each of the following nuclear equations by supplying the missing particle. a. $\quad \frac{226}{88} \mathrm{Ra} \rightarrow \frac{222}{86} \mathrm{Rn}+?$ b. $\frac{222}{86} \mathrm{Rn} \rightarrow_{84}^{218} \mathrm{Po}+?$ c. $_{1}^{2} \mathrm{H}+_{1}^{3} \mathrm{H} \rightarrow_{2}^{4} \mathrm{He}+?$

Complete each of the following nuclear equations by supplying the missing particle.
a. $\quad \frac{226}{88} \mathrm{Ra} \rightarrow \frac{222}{86} \mathrm{Rn}+?$
b. $\frac{222}{86} \mathrm{Rn} \rightarrow_{84}^{218} \mathrm{Po}+?$
c. $_{1}^{2} \mathrm{H}+_{1}^{3} \mathrm{H} \rightarrow_{2}^{4} \mathrm{He}+?$

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Key Concepts

Conservation Laws in Nuclear Reactions

In any nuclear reaction, both the total mass number and the atomic number must be conserved. This means that the sum of the nucleons (protons and neutrons) and the sum of the charges are the same before and after the reaction. These conservation principles allow one to deduce the identity of missing particles in nuclear equations by ensuring that the incoming and outgoing totals match.

Alpha Particle Emission

Alpha decay is a form of radioactive decay in which a nucleus emits an alpha particle, which is essentially a helium-4 nucleus composed of 2 protons and 2 neutrons. This process decreases the atomic number by 2 and the mass number by 4, which is a key detail in balancing many decay equations.

Nuclear Fusion and Neutron Emission

Nuclear fusion involves the combining of two light nuclei to form a heavier nucleus. In some fusion reactions, the mass and proton number do not perfectly combine into the product nucleus, necessitating the release of an extra particle, often a neutron. The emission of a neutron helps to satisfy conservation laws by accounting for the remaining mass, even though neutrons carry no charge.

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