In the ground state of mercury, Hg, a. how many electrons occupy atomic orbitals with n = 3? b. how many electrons occupy d atomic orbitals? c. how many electrons occupy p z , atomic orbitals? d. how many electrons have spin "up" ( m s = + 1 2 ) ?
In the ground state of mercury, Hg, a. how many electrons occupy atomic orbitals with n = 3? b. how many electrons occupy d atomic orbitals? c. how many electrons occupy p z , atomic orbitals? d. how many electrons have spin "up" ( m s = + 1 2 ) ?
a. how many electrons occupy atomic orbitals with n = 3?
b. how many electrons occupy d atomic orbitals?
c. how many electrons occupy pz, atomic orbitals?
d. how many electrons have spin "up"
(
m
s
=
+
1
2
)
?
(a)
Expert Solution
Interpretation Introduction
Interpretation:
The given questions with respect to the ground state of mercury
(Hg) are to be answered.
Concept Introduction:
According to the Aufbau principal, in the ground state of an atom or an ion, the atomic orbitals of the lowest available energy level are filled by the electrons first. Then the orbitals of a comparatively higher energy level are filled. Also, according to the Hund’s rule of maximum multiplicity, the orbitals having the same energy level are filled by one electron each before any one of them is filled with a second electron.
To determine: The number of electrons occupying atomic orbitals with
n=3.
Answer to Problem 95E
Answer
The required number of electrons is
18_.
Explanation of Solution
The atomic number of mercury is
80. This is equal to the number of electrons present in the atom. Hence, the ground state electronic configuration of mercury is given as,
In this case, three orbitals with
n=3 are present.
The total number of electrons occupying the
n=3 orbitals is,
2+6+10=18_
Conclusion
The number of electrons occupying the
n=3 orbitals in mercury
(Hg) is
18_.
(b)
Expert Solution
Interpretation Introduction
Interpretation:
The given questions with respect to the ground state of mercury
(Hg) are to be answered.
Concept Introduction:
According to the Aufbau principal, in the ground state of an atom or an ion, the atomic orbitals of the lowest available energy level are filled by the electrons first. Then the orbitals of a comparatively higher energy level are filled. Also, according to the Hund’s rule of maximum multiplicity, the orbitals having the same energy level are filled by one electron each before any one of them is filled with a second electron.
To determine: The number of electrons occupying the
d orbital.
Answer to Problem 95E
Answer
The number of electrons that occupy the
d orbital is
30_.
Explanation of Solution
The atomic number of mercury is
80. This is equal to the number of electrons present in the atom. Hence, the ground state electronic configuration of mercury is given as,
The number of electrons which occupy the
d orbital is,
10+10+10=30_
Conclusion
The number of electrons that occupy the
d orbital in mercury
(Hg) is
30_.
(c)
Expert Solution
Interpretation Introduction
Interpretation:
The given questions with respect to the ground state of mercury
(Hg) are to be answered.
Concept Introduction:
According to the Aufbau principal, in the ground state of an atom or an ion, the atomic orbitals of the lowest available energy level are filled by the electrons first. Then the orbitals of a comparatively higher energy level are filled. Also, according to the Hund’s rule of maximum multiplicity, the orbitals having the same energy level are filled by one electron each before any one of them is filled with a second electron.
To determine: The number of electrons occupying the
pz orbital.
Answer to Problem 95E
Answer
The number of electrons that occupy the
pz orbital is
30.
Explanation of Solution
The atomic number of mercury is
80. This is equal to the number of electrons present in the atom. Hence, the ground state electronic configuration of mercury is given as,
In each
p orbital there is one
pz orbital; and in each
pz orbital, two electrons are present.
Therefore, number of electrons which occupy the
pz orbital in mercury
(Hg) is,
4×2=8_.
Conclusion
The number of electrons that occupy the
pz orbital in mercury
(Hg) is
8_.
(d)
Expert Solution
Interpretation Introduction
Interpretation:
The given questions with respect to the ground state of mercury
(Hg) are to be answered.
Concept Introduction:
According to the Aufbau principal, in the ground state of an atom or an ion, the atomic orbitals of the lowest available energy level are filled by the electrons first. Then the orbitals of a comparatively higher energy level are filled. Also, according to the Hund’s rule of maximum multiplicity, the orbitals having the same energy level are filled by one electron each before any one of them is filled with a second electron.
To determine: The number of electrons having spin “up”
(ms=+12).
Answer to Problem 95E
Answer
The number of electrons having spin quantum number,
ms=+12 is
40_.
Explanation of Solution
The atomic number of mercury is
80. This is equal to the number of electrons present in the atom. Hence, the ground state electronic configuration of mercury is given as,
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