^238 U undergoes alpha (alpha) decay. Write the equation, including the products

Question

^238 U undergoes alpha (alpha) decay. Write the equation, including the products, showing the nuclear reaction that takes place when ^238 U undergoes decay. ^210 Bi undergoes beta (beta) decay. Write the equation, including the products, showing the nuclear reaction that takes place when ^210 Bi undergoes decay. Suppose some radon gas enters your home. The half-life of ^222 Rn is 3.8235 days (i.e., 0.54621 weeks). What percentage of the ^222 Rn gas would still be present one week later (assuming it is only dissipated through nuclear decay)

Explanation / Answer

23892U = 42   + 23490Th           

Observe how to find the unknown:

234 = 238-4

90 = 92-2

21083Bi = 0-1 + 21084Po

N/No = (1/2) t/t1/2

N/No = (1/2) 7/3.8235

            = 0.51.830

            = 0.2811

100 N/No =   28.11%

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