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Calculate the number of alpha- and beta-...

Calculate the number of `alpha`- and `beta`-particles emitted when `._(92)U^(238)` into radioactive `._(82)Pb^(206)`.

Text Solution

Verified by Experts

`._(92)U^(238)rarr ._(82)Pb^(214)=x._(2)He^(4)+y._(-1)e^(0)`
Equating atomic number on both sides ltbr. `238=214=xxx4+yxx0`
`:. X=6`
Hence, `6 alpha-` particles are emitted.
Equating atomic number on both sides ltbr. `92=82+6xx2+y(-1)`
`:. y=2`
Hence, `2 beta-` particles are emitted.
Therefore, total 8 particles `(6alpha,2 beta)` are emitted.
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