Calculate the total number of electrons that can occupy a)

zakinutuzi 2021-12-19 Answered
Calculate the total number of electrons that can occupy
a) one s orbital,
b) three p orbitals,
c) five d orbitals,
d) seven f orbitals.
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Expert Answer

lovagwb
Answered 2021-12-20 Author has 50 answers
PART A:
The s subshell corresponds to the angular momentum quantum number l=0. For a given angular momentum quantum number l, there are a maximum total of 2(2l+1) electrons. Therefore, an subshell has a maximum total of 2[2(0)+1]=2 electrons.
PART B:
The p subshell corresponds to the angular momentum quantum number l=1. For a given angular momentum quantum number l, there are a maximum total of 2(2l+1) electrons. Therefore, a p subshell has a maximum total of 2[2(1)+1]=6 electrons.
PART C:
The d subshell corresponds to the angular momentum quantum number l=2. For a given angular momentum, quantum number l, there are a maximum total of 2(2l+1) electrons. Therefore, a d subshell has a maximum total of 2[2(2)+1]=10 electrons.
PART D:
The f subshell corresponds to the angular momentum quantum number l=3. For a given angular momentum quantum number £, there are a maximum total of 2(2l+1) electrons. Therefore, an f subshell has a maximum, total of 2[2(3)+1]=14 electrons.
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vicki331g8
Answered 2021-12-21 Author has 37 answers
So, electrons in the orbitals of a sub shell is given as follows, number of electrons =2(2l+1)
(a). for s orbital l=0,
Number of electrons =2(2×0+1)
=2 electrons
(b), Three p orbitals, l=1
number of electrons =2(2×1+1)=6 electrons
(c) five d orbitals, l=2
Number of electrons =2(2×2+1)=10 electrons
(d). seven f orbitals, l=3
Number of electrons =2(2×3+1)=14 electrons
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