What is the maximum number of electrons that can occupy a subshell with the quan

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Question: What is the maximum number of electrons that can occupy a subshell with the quantum numbers n=3 and l=2?

Options:

Correct Answer: 10

Solution:

The maximum number of electrons in a subshell is given by the formula 2(2l + 1). For l=2, this gives 2(2*2 + 1) = 10.

What is the maximum number of electrons that can occupy a subshell with the quantum numbers n=3 and l=2?

What is the maximum number of electrons that can occupy a subshell with the quantum numbers n=3 and l=2?

Step 1: Identify the quantum numbers given in the question. Here, n=3 and l=2.
Step 2: Understand that 'l' represents the subshell type. For l=2, this corresponds to the d subshell.
Step 3: Use the formula to find the maximum number of electrons in a subshell: 2(2l + 1).
Step 4: Substitute the value of l into the formula. Here, l=2, so we calculate 2(2*2 + 1).
Step 5: Calculate the expression inside the parentheses: 2*2 = 4, then 4 + 1 = 5.
Step 6: Multiply by 2: 2 * 5 = 10.
Step 7: Conclude that the maximum number of electrons that can occupy the subshell with n=3 and l=2 is 10.

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