Which of the following sets of quantum numbers could possibly describe an electron in the ground-state configurations of beryllium. Choose all that apply (e.g. AB, ABC, ABDF).
A) n=1 l=0 ml=0 ms=1/2
B) n=3 l=1 ml=-1 ms=1/2
C) n=2 l=0 ml=0 ms=-1/2
D) n=2 l=1 ml=0 ms=1/2
E) n=3 l=2 ml=0 ms=1/2
F) n=2 l=1 ml=1 ms=-1/2
Which of the above sets of quantum numbers could possibly describe an electron in the ground-state configurations of sodium. Choose all that apply (e.g. AB, ABC, ABDF).
These usually are confusing for students; the secret is to follow the rules.
4Be is 1s2 2s2.
For the 1s2 n = 1, s means l = 0 and there is 1electron with +1/2 and the other with -1/2. You simply go down the choices and pick any that has n = 1, l = 0, ml = 0 and ms = +/- 1/2. No others will do. A choice will do that.
For the 2s2 n = 2, s means l = 1 and again 1 electron has +1/2 and the other -1/2. Go through the choices again and look for n = 2, l = 0, ml = 0, ms = +/- 1/2. C choice will do that.
B can't because there is no n = 3
D no because there is no l > 0. Same for F.
E can't; there is no n = 3.
Now you do the Na the same way.
This should get you started.
11Na = 1s2 2s2 2p6 3s1
To determine which sets of quantum numbers could possibly describe an electron in the ground-state configurations of beryllium and sodium, we need to consider the rules for assigning quantum numbers.
The four quantum numbers are as follows:
1. Principal Quantum Number (n): Describes the energy level or shell the electron occupies.
2. Angular Momentum Quantum Number (l): Describes the shape of the electron's orbital.
3. Magnetic Quantum Number (ml): Describes the orientation of the orbital space.
4. Spin Quantum Number (ms): Represents the spin direction of the electron.
For the ground-state configuration:
- Beryllium has an atomic number of 4, which means it has four electrons. The ground state of beryllium is 1s^2 2s^2.
- Sodium has an atomic number of 11, which means it has eleven electrons. The ground state of sodium is 1s^2 2s^2 2p^6 3s^1.
Let's analyze each option for beryllium and sodium:
For beryllium:
A) n=1 l=0 ml=0 ms=1/2
The principal quantum number (n) of 1 does not match the electron configuration of beryllium.
B) n=3 l=1 ml=-1 ms=1/2
The principal quantum number (n) of 3 does not match the electron configuration of beryllium.
C) n=2 l=0 ml=0 ms=-1/2
This set of quantum numbers is possible for an electron in the ground-state configuration of beryllium. The principal quantum number (n) of 2 matches the 2s^2 electron configuration.
D) n=2 l=1 ml=0 ms=1/2
This set of quantum numbers is possible for an electron in the ground-state configuration of beryllium. The principal quantum number (n) of 2 matches the 2s^2 electron configuration.
E) n=3 l=2 ml=0 ms=1/2
The principal quantum number (n) of 3 does not match the electron configuration of beryllium.
F) n=2 l=1 ml=1 ms=-1/2
This set of quantum numbers is possible for an electron in the ground-state configuration of beryllium. The principal quantum number (n) of 2 matches the 2s^2 electron configuration.
Possible sets of quantum numbers for beryllium in the ground-state configurations are: CDF.
For sodium:
A) n=1 l=0 ml=0 ms=1/2
The principal quantum number (n) of 1 does not match the electron configuration of sodium.
B) n=3 l=1 ml=-1 ms=1/2
The principal quantum number (n) of 3 does not match the electron configuration of sodium.
C) n=2 l=0 ml=0 ms=-1/2
This set of quantum numbers is possible for an electron in the ground-state configuration of sodium. The principal quantum number (n) of 2 matches the 2s^2 electron configuration.
D) n=2 l=1 ml=0 ms=1/2
This set of quantum numbers is possible for an electron in the ground-state configuration of sodium. The principal quantum number (n) of 2 matches the 2s^2 electron configuration.
E) n=3 l=2 ml=0 ms=1/2
The principal quantum number (n) of 3 does not match the electron configuration of sodium.
F) n=2 l=1 ml=1 ms=-1/2
The principal quantum number (n) of 2 does not match the electron configuration of sodium.
Possible sets of quantum numbers for sodium in the ground-state configurations are: CD.
Therefore, for beryllium, the possible sets of quantum numbers are: CDF.
And for sodium, the possible sets of quantum numbers are: CD.