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If the principal quantum number n = 4 and the azimuthal quantum number l = 2, wh

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Question: If the principal quantum number n = 4 and the azimuthal quantum number l = 2, what is the maximum number of electrons in this subshell?

Options:

  1. 8
  2. 10
  3. 14
  4. 16

Correct Answer: 14

Solution: 

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

If the principal quantum number n = 4 and the azimuthal quantum number l = 2, wh

Practice Questions

Q1
If the principal quantum number n = 4 and the azimuthal quantum number l = 2, what is the maximum number of electrons in this subshell?
  1. 8
  2. 10
  3. 14
  4. 16

Questions & Step-by-Step Solutions

If the principal quantum number n = 4 and the azimuthal quantum number l = 2, what is the maximum number of electrons in this subshell?
  • Step 1: Identify the azimuthal quantum number l, which is given as l = 2.
  • Step 2: Use the formula for the maximum number of electrons in a subshell, which is 2(2l + 1).
  • Step 3: Substitute the value of l into the formula: 2(2*2 + 1).
  • Step 4: Calculate the value inside the parentheses: 2*2 = 4, then 4 + 1 = 5.
  • Step 5: Multiply by 2: 2 * 5 = 10.
  • Step 6: Conclude that the maximum number of electrons in this subshell is 10.
  • Quantum Numbers – Understanding the principal quantum number (n) and azimuthal quantum number (l) is essential for determining electron configurations.
  • Electron Capacity of Subshells – The formula 2(2l + 1) is used to calculate the maximum number of electrons that can occupy a subshell based on the azimuthal quantum number.
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