52 Under certain rare circumstances, a nucleus can decay by emitting a particle more massive than an alpha particle. Consider the decays 223Ra - 20Pb + 14C and 223Ra - 21°RN + 4He. Calculate the Q value for the (a) first and (b) second decay and determine that both are energetically possible. (c) The Coulomb barrier height for alpha-particle emission is 30.0 MeV. What is the barrier height for 14C emission? (Be careful about the nuclear radii.) The needed atomic masses are 223Ra 223.018 50 u 14C 14.003 24 u 209Pb 208.981 07 u "He 4.002 60 u 219Rn 219.009 48 u

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52 Under certain rare circumstances, a nucleus can decay by
emitting a particle more massive than an alpha particle. Consider
the decays
223Ra - 20Pb + 14C
and
223Ra - 21°RN + 4He.
Calculate the Q value for the (a) first and (b) second decay and
determine that both are energetically possible. (c) The Coulomb
barrier height for alpha-particle emission is 30.0 MeV. What is the
barrier height for 14C emission? (Be careful about the nuclear
radii.) The needed atomic masses are
223Ra 223.018 50 u
14C 14.003 24 u
209Pb 208.981 07 u
"He 4.002 60 u
219Rn 219.009 48 u
Transcribed Image Text:52 Under certain rare circumstances, a nucleus can decay by emitting a particle more massive than an alpha particle. Consider the decays 223Ra - 20Pb + 14C and 223Ra - 21°RN + 4He. Calculate the Q value for the (a) first and (b) second decay and determine that both are energetically possible. (c) The Coulomb barrier height for alpha-particle emission is 30.0 MeV. What is the barrier height for 14C emission? (Be careful about the nuclear radii.) The needed atomic masses are 223Ra 223.018 50 u 14C 14.003 24 u 209Pb 208.981 07 u "He 4.002 60 u 219Rn 219.009 48 u
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