How many electrons in an atom can have each of the following quantum number or sublevel designations?
(a) 2s
(b) n = 3, l = 2
(c) 6d

Respuesta :

Answer :

(a) Number of electrons in an atoms is, 2

(b) Number of electrons in an atoms is, 10

(c) Number of electrons in an atoms is, 10

Explanation :

There are 4 quantum numbers :

Principle Quantum Numbers : It describes the size of the orbital. It is represented by n. n = 1,2,3,4....

Azimuthal Quantum Number : It describes the shape of the orbital. It is represented as 'l'. The value of l ranges from 0 to (n-1). For l = 0,1,2,3... the orbitals are s, p, d, f...

Magnetic Quantum Number : It describes the orientation of the orbitals. It is represented as . The value of this quantum number ranges from . When l = 2, the value of

Spin Quantum number : It describes the direction of electron spin. This is represented as . The value of this is  for upward spin and  for downward spin.

Number of electrons in a sublevel = 2(2l+1)

(a) 2s

n = 2

Value of 'l' for 's' orbital : l = 0

Number of electrons in an atoms = 2(2l+1) = 2(2×0+1) = 2

(b) n = 3, l = 2

Number of electrons in an atoms = 2(2l+1) = 2(2×2+1) = 10

(c) 6d

n = 2

Value of 'l' for 'd' orbital : l = 2

Number of electrons in an atoms = 2(2l+1) = 2(2×2+1) = 10