19) Nuclide A decays to nuclide B exclusively
through α and β decay, such that the mass number is reduced by 32 and the
atomic number is reduced by 10. The number of β particles emitted during the
decay of nuclide A to B is_____
Solution:
A nuclide may be denoted as ^{Z}N_{A}
Where Z is the atomic mass number
A is the atomic number
The given data explains us like this
^{Z}N_{A}=_{A-10}N ^{Z-32}+_{2}\alpha ^{4}+_{-1}\beta ^{0}
For the number of \alpha particles
decay
Z=Z-32+4(\alpha)+0(\beta)
Z=Z-32+4(\alpha)+0(\beta)
4(\alpha)=32
\alpha=8
For the number of \beta particles
decay
A=A-10+2(\alpha)-1(\beta)
A=A-10+2(8)-1(\beta)
\beta=-10+16
\beta=6
\betaparticles -6
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ReplyDeleteThank you. Please follow this blog if you like it.
DeleteAnswer should be, number of β particles = 4
ReplyDeleteAnd number of α particles = 7
Delete