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→Deducing the Equation From Empirical Observation: include the 1000 grams per kg.
Radium-226 decays into Radon-222 by emission of an alpha particle with an energy of 4.78 MeV.
Radium-226 decays into Radon-222 by emission of an alpha particle with an energy of 4.78 MeV.
1 kg of Radium-226 = <math>\frac{6.022 \times 10^{23}}{226.0254}</math> atoms. (The numerator is [[Avogadro's number]], and the denominator is the atomic weight of Radium-226.) This is 2.6643647 * 10<sup>24</sup> atoms.
1 kg of Radium-226 = <math>\frac{6.022 \times 10^{26}}{226.0254}</math> atoms. (The numerator is [[Avogadro's number]] times the 1,000 grams in one kg, and the denominator is the atomic weight of Radium-226.) This is 2.6643647 * 10<sup>24</sup> atoms.
That number of Radon-222 atoms has mass .98226836 kg. That number of alpha particles has mass .01770863 kg.
That number of Radon-222 atoms has mass .98226836 kg. That number of alpha particles has mass .01770863 kg.
Also, Radon-222 decays into Polonium-218 by emission of an alpha particle with an energy of 5.49 MeV.
Also, Radon-222 decays into Polonium-218 by emission of an alpha particle with an energy of 5.49 MeV.
1 kg of Radon-222 = <math>\frac{6.022 \times 10^{23}}{222.0176}</math> atoms. This is 2.7124611 * 10<sup>24</sup> atoms.
1 kg of Radon-222 = <math>\frac{6.022 \times 10^{26}}{222.0176}</math> atoms. This is 2.7124611 * 10<sup>24</sup> atoms.
That number of Polonium-218 atoms has mass .98194467 kg. That number of alpha particles has mass .01802830 kg.
That number of Polonium-218 atoms has mass .98194467 kg. That number of alpha particles has mass .01802830 kg.