Chemistry Practice Problems Quantum Numbers Practice Problems Solution: What is the maximum number of electrons in a gener...

Solution: What is the maximum number of electrons in a general atom that can be described by each of the following sets of quantum numbers:n = 3, l = 3, ml = 1          _____n = 4, l = 2, ml = 0         _____n = 5, l = 3                     _____n = 3, ml = 1                   _____

Problem

What is the maximum number of electrons in a general atom that can be described by each of the following sets of quantum numbers:

n = 3, l = 3, ml = 1          _____

n = 4, l = 2, ml = 0         _____

n = 5, l = 3                     _____

n = 3, ml = 1                   _____

Solution

We are being asked to determine the maximum number of electrons in an atom for each set of quantum numbers given. 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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