Question

How many orbitals in an atom can have the designation?

5p: 3s: n=4: 4d: n=9

Answer 1

1)

for 5p:

It corresponds to n=5 and l=1

for given l, number of orbitals = 2l+1

here l=1.

so,

number of orbitals = 2*1+1

number of orbitals = 3

Answer: 3 orbitals

2)

for 3s:

It corresponds to n=3 and l=0

for given l, number of orbitals = 2l+1

here l=0.

so,

number of orbitals = 2*0+1

number of orbitals = 1

Answer: 1 orbitals

3)

for n=4:

It corresponds to n=4

for given n and l can be anything, number of orbitals = n^2

here n=4.

so,

number of orbitals = 4^2

number of orbitals = 16

Answer: 16 orbitals

4)

for 4d:

It corresponds to n=4 and l=2

for given l, number of orbitals = 2l+1

here l=2.

so,

number of orbitals = 2*2+1

number of orbitals = 5

Answer: 5 orbitals

5)

for n=9:

It corresponds to n=9

for given n and l can be anything, number of orbitals = n^2

here n=9

so,

number of orbitals = 9^2

number of orbitals = 81

Answer: 81 orbitalsa