# Problem: How many orbitals in an atom can have the designation 5p, 3dz 2, 4d, n = 5, n = 4?

🤓 Based on our data, we think this question is relevant for Professor Hatab's class at UT.

###### FREE Expert Solution

principal quantum number (n)  energy level in orbitals and its value could be any positive integer starting from 1 to infinity.
angular momentum quantum number (ℓ) → (l) has to be at least 1 less than n, range of values from 0 up to (n-1)

▪ Each ℓ value corresponds to a subshell:

= 0 → s subshell
= 1 → p subshell
= 2 → d subshell
= 3 → f subshell

• magnetic quantum number (m) → range of values from - to +

▪ The m values (for each ℓ) represent an orbital for the subshell:

s subshell→ 1 orbital
p subshell→ 3 orbitals
d subshell → 5 orbitals
f subshell → 7 orbitals

For 5p:

p subshell→ 3 orbitals

There are 3 orbitals in an atom that has a designation of 5p.

For 3dz 2:

d subshell → 5 orbitals

5 orbitals → dxy, dxz, dyz. dz2, dx2-y2

There's only 1 orbital in an atom that has a designation of 3dz2.

For 4d: ###### Problem Details

How many orbitals in an atom can have the designation 5p, 3dz 2, 4d, n = 5, n = 4?

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Introduction to Quantum Mechanics concept. You can view video lessons to learn Introduction to Quantum Mechanics. Or if you need more Introduction to Quantum Mechanics practice, you can also practice Introduction to Quantum Mechanics practice problems.

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Our tutors rated the difficulty ofHow many orbitals in an atom can have the designation 5p, 3d...as medium difficulty.

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What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Hatab's class at UT.

What textbook is this problem found in?

Our data indicates that this problem or a close variation was asked in Chemistry: An Atoms First Approach - Zumdahl 2nd Edition. You can also practice Chemistry: An Atoms First Approach - Zumdahl 2nd Edition practice problems.