Chemistry Practice Problems Introduction to Quantum Mechanics Practice Problems Solution: Which one of the following is TRUE for a 3s orbita...

Solution: Which one of the following is TRUE for a 3s orbital?A) The possible values of ml for a 3s orbital are -1, 0, and +1. B) A 3s orbital has 3 radial nodes. C) The principal quantum number for a 3s orbital is 2. D) A 3s orbital is shaped like a peanut. E) The angular momentum quantum number (l) for a 3s orbital is 0.

Problem

Which one of the following is TRUE for a 3s orbital?

A) The possible values of ml for a 3s orbital are -1, 0, and +1. 

B) A 3s orbital has 3 radial nodes. 

C) The principal quantum number for a 3s orbital is 2. 

D) A 3s orbital is shaped like a peanut. 

E) The angular momentum quantum number (l) for a 3s orbital is 0.

Solution

We are being asked to determine which of the given statements are TRUE for a 3s orbital.


To solve this problem, let’s first define and determine the possible values of the four quantum numbers:

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:

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