What is the maximum number of electrons in an atom that can have the following quantum numbers? part an=2 ms= -1/ bn=5, l= cn=4, l=3, ml= - dn=4, l=1, ml=

(A) n=2 and ms = (-1/2) ⇒ 4 electrons.

(B) n = 5 and ℓ = 3 ⇒ 14 electrons

(C) n=4, ℓ=3, mℓ= -3 ⇒  2 electrons

(D) n = 4, ℓ =1, mℓ =1 ⇒  2 electrons

Explanation:

Quantum numbers are the set of numbers that describe the state of an electron in an atom. There are four quantum numbers:

Principal: n ≥ 1

Azimuthal: ℓ ≤ (n-1)

Magnetic: mℓ = (-ℓ) to (ℓ)

Spin: ms = (±1/2)

(A) For: n = 2

ℓ = 0 ⇒ s-orbital and ℓ = 1 ⇒ p-orbital

So, ℓ =0, mℓ = 0 ⇒ 1 orbital

So for, ℓ = 1 , mℓ = -1, 0, +1 ⇒ 3 orbitals

Since an orbital can't have more than two electrons.

Therefore, the maximum number of electrons having n = 2 is 4 × 2 = 8 electrons

As electrons in an orbit must have opposite spins.

Therefore, the total number of electrons having, n=2 and ms = (-1/2) is 8÷2 = 4 electrons.

(B) For: n = 5

ℓ = 0, 1, 2, 3, 4

Now ℓ = 3 ⇒ f-orbital

So for, ℓ = 3,  mℓ = -3 -2, -1, 0, +1, +2, +3 ⇒ 7 orbitals

Since an orbital can't have more than two electrons.

Therefore, the maximum number of electrons having n = 5 and ℓ = 3 is 7 × 2 = 14 electrons

(C) For: n = 4

ℓ = 0, 1, 2, 3

Now ℓ = 3 ⇒ f-orbital

So for, ℓ = 3,  mℓ = -3 -2, -1, 0, +1, +2, +3 ⇒ 7 orbitals

When mℓ= -3 ⇒ 1 orbital

Since an orbital can't have more than two electrons.

Therefore, the maximum number of electrons having n=4, ℓ=3, mℓ= -3 is 1 × 2 = 2 electrons

(D) For: n = 4

ℓ = 0, 1, 2, 3

Now ℓ = 1 ⇒ p-orbital

So for, ℓ = 1 , mℓ = -1, 0, +1 ⇒ 3 orbitals

When mℓ= +1 ⇒ 1 orbital

Since an orbital can't have more than two electrons.

Therefore, the maximum number of electrons having n = 4, ℓ =1, mℓ =1 is 1 × 2 = 2 electrons

hope this

explanation:

covalent bonds

consist of pairs of electrons shared by two atoms, and bind the atoms to fixed orientation and requre high energies to break them

ionic bonds

when two atoms differ considerably in their electronegativity, then one of the atoms will lose its electron to the other atom. this results in a positively charged ion(cation) and a negatively charged ion (anion)

we can conclude that the melting point of table salt is above room temperature (it's actually 801 deg c). the melting point of mercury must be below room temperature (- 39 deg c).