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I'm assuming we are talking about Rn222.

Rn222 is part of the U238 chain (also known as the Radium series).

Rn222 (half life 3.8 days) -> Po218 + alpha particle (5.59 MeV)

Po218 (half life 3.1 minutes) -> Pb214 + alpha particle (6.115 MeV)

Pb214 (half life 26.8 minutes) -> Bi214 + beta- particle (1.024 MeV)

Bi214 (half life 19.9 minutes) -> Po214 + beta- particle (3.272 MeV)

Po214 (half life .164 ms) -> Pb210 + alpha particle (7.883 MeV)

Pb210 (half life 22.3 years) -> Bi210 + beta- particle (64 keV)

Bi210 (half life 5.013 days) -> Po210 + beta- particle (1.426 MeV)

Po210 (half life 138.4 days) -> Pb206 + alpha particle (5.407 MeV)

Pb206 (lead) is stable so that is the end of the chain.

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Q: What is a balanced nuclear equation for the alpha decay of Rn-22?
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