write all Quantum numbers of 10th electron of sodium atom
Answers
3, 0, 0, +12
Explanation:Sodium (11Na) electronic configuration:
1s2.2s2.2p6.3s1
For 10th electron (marked red)
n = 3..[∵It is in 3rdshell]l = 0..[∵It is in s-orbital]m = 0.[∵l = 0]s=+12.[∵Convention]Sodium is having atomic number 11
Quantum numbers of 10th electron of sodium atom is n=3, l=0, m=0, and s= +1/2 or−1/2
Explanation:
There are four quantum numbers for an atom principal quantum number (n), azimuthal quantum number (l), magnetic moment ( m), and spin quantum number (s).
Sodium atom= 11.
Electronic configuration is as follows:
Na =
(1) Principal quantum number (n):
This quantum number describes the number of shells present in the atom.Here the principal quantum number is in the third shell, so n = 3
(2) Azimuthal quantum number (l):
It is also known as orbital momentum quantum number denoted by (l) which determines the shape of the subshell.
The value of ‘l’ is less than the principal quantum number(n−1).
For sodium, (n = 3)therefore the ‘l’ value is calculated as:
Therefore, the azimuthal quantum number (l) for the third shell of sodium atom is 0, 1, 2. representing s,p and d respectively
(3) Magnetic quantum number (m) :
This quantum number denotes the orbitals and their orientation in the subshell. The value of m depends on the azimuthal quantum number. For a ‘l’ value the (m) values will be from−l to +l.
The (m) values for the third shell of sodium are:
m = −2 , −1 , 0 , +1 , +2
For (n = 3) the magnetic quantum numbers are: −2 , −1 , 0 , +1 , +2
sodium has l=0 , thus the magnetic quantum number for 3s an electron is m= Na= 0
(4) Electron spin quantum number (s):
The value of s shows the direction of the electron spin.
Here the value of spin s is +1/2 or −1/2
So, the quantum numbers for the electron of sodium atom having the highest energy are 3, 0, 0, and +1/2 or−1/2
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