The maximum electron in N shell is?

Analysis

The question asks for the maximum number of electrons that can be accommodated in the N shell of an atom.

Concept: The Bohr-Bury Rule

In atomic structure, electrons are arranged in shells (energy levels) designated by the principal quantum number, $n$. The maximum number of electrons that any shell can hold is determined by the formula: Maximum electrons = $2n^2$

Where $n$ is the shell number:

• K shell: $n = 1$
• L shell: $n = 2$
• M shell: $n = 3$
• N shell: $n = 4$

Step-by-Step Solution

1. Identify the shell number ($n$): The shells follow the alphabetical order K, L, M, N... Therefore, the N shell is the 4th shell. • $n = 4$
2. Apply the formula: Substitute $n = 4$ into the formula $2n^2$. • Maximum electrons = $2 \times (4)^2$
3. Calculate the value: • $4^2 = 16$ • $2 \times 16 = 32$

The N shell can hold a maximum of 32 electrons.

Conclusion

The calculation confirms that the N shell accommodates 32 electrons.

Exam Tip: Remember the sequence of maximum electrons for the first four shells:

• K (1st): 2
• L (2nd): 8
• M (3rd): 18
• N (4th): 32 A quick way to remember this is to double the square of the shell number. You've got this!