Question

The maximum number of electrons that can be accommodated in the shell with ( n = 2 ) is _______ (in integer). (Given: ( n ) = principal quantum number)

Hint:

Use the formula ( 2n^2 ) to quickly determine the maximum number of electrons in any shell. Remember that ( n ) represents the shell number (principal quantum number).

Answer 1

Step 1: Understanding the concept of principal quantum number (\( n \)).

The principal quantum number (\( n \)) defines the shell of an atom. The number of electrons in a shell is determined by the formula:

\[ \text{Maximum electrons} = 2n^2 \] Step 2: Applying the formula for \( n = 2 \).

For \( n = 2 \), the maximum number of electrons is:

\[ \text{Maximum electrons} = 2 \cdot (2)^2 = 2 \cdot 4 = 8 \] Step 3: Conclusion.

The shell with \( n = 2 \) can accommodate a maximum of 8 electrons.