Radium-226 decays with a half-life of 1,620 years to radon-222 plus a helium nucleus ( (alpha) particle)

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Radium-226 decays with a half-life of 1,620 years to radon-222 plus a helium nucleus ( \(\alpha\) particle) according to the nuclear reaction equation

\[{ }_{88}^{226} \mathrm{Ra} ightarrow{ }_{86}^{222} \mathrm{Rn}+{ }_{2}^{4} \mathrm{He} .\]

The atomic masses are

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Use the data in Table 10.1 to calculate the energy in \(\mathrm{MeV}\) released in the reaction. How much of this energy appears as kinetic energy of the \(\alpha\) particle?


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