Generally, large unstable nuclei don\'t decay directly into stable nuclei, inste
ID: 523225 • Letter: G
Question
Generally, large unstable nuclei don't decay directly into stable nuclei, instead they undergo a series a decays where each daughter nucleus decay until eventually a stable nucleus is reached. Francium-218 is unstable and, through a series of decays, reaches Lead-210 prior to further decays to become stable. Propose a decay series containing three steps where a nucleus of Francium-218 ultimately reaches Lead-210. Write the nuclear equation for each step. Complete the following sets of quantum numbers for an electron with any of the numbers possible. (a) (3, 2, ____, + 1/2 (b) (_____, 4, -1, -1/2) (c) (2, 1, ______, +1/2 (d) (_____, _____, -3, +1/2)Explanation / Answer
19.
(1.) 87Fr218 = 85At214 + 2He4 (release of alpha particle to form Astatine)
(2.) 85At214 = 83Bi210 + 2He4 (release of alpha particle to form Bismuth)
(3.) 83Bi210 = 82Pb210 + +1e0 (release of positron to form lead)
20.
(a) given set- 3,2, _, +1/2
n (principal quantum number) = 3
l (azimutal quantum number) = 2
m (magentic quantum number) = +2, +1, 0, -2, -1
as for a given value of l, m will have -l to +l values including zero
s (spin quantum number) = +1/2
(b)
given set- _, 4, -1, -1/2
n (principal quantum number) = 5
as l=4, the l values are given from 0 to (n-1) values.
so if l=4, n should be 5
l (azimutal quantum number) = 4
m (magentic quantum number) = -1
s (spin quantum number) = -1/2
(c)
given set-2,1,_, -1/2
n (principal quantum number) = 2
l (azimutal quantum number) = 1
m (magentic quantum number) = +1, 0, -1
as for a given value of l, m will have -l to +l values including zero
s (spin quantum number) = -1/2
(d)
given set- _,_,-3,+1/2
n (principal quantum number) = 4
l (azimutal quantum number) = 3
as m values extend from +3 to -3, l value should be 3.
as l=3 and for a given value of n, l should have o to (n-1) values, n should be 4.
m (magentic quantum number) = -3
as for a given value of l, m will have -l to +l values including zero
as m= -3 , the values of m can be +3,+2,+1,0,-1,-2,-3
s (spin quantum number) = -1/2
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