Shell Electron Capacity Explained

The question asks for the maximum number of electrons that can be found in the first shell of an atom. Electrons in an atom are arranged in different energy levels or shells around the nucleus.

Understanding Atomic Shells

These shells are designated by principal quantum numbers, denoted by 'n', where 'n' can be 1, 2, 3, and so on. The shell closest to the nucleus is the first shell (n=1), followed by the second shell (n=2), and subsequent shells.

• The first shell corresponds to 'n=1'.
• The second shell corresponds to 'n=2'.
• And so on...

Calculating Maximum Electrons per Shell

The maximum number of electrons a shell can hold is determined by a specific formula related to its principal quantum number 'n'. The formula is:

Maximum Electrons = \(2n^2\)

Applying the Formula to the First Shell

To find the maximum number of electrons for the first shell, we use the formula with 'n=1':

Maximum Electrons = \(2 \times (1)^2\)

Maximum Electrons = \(2 \times 1\)

Maximum Electrons = 2

Therefore, the first shell (n=1) of an atom can accommodate a maximum of 2 electrons.

Electron Arrangement in Atoms

This principle is fundamental to understanding atomic structure and how electrons fill up the energy levels. The filling order generally follows this capacity:

• First shell (n=1): Max 2 electrons
• Second shell (n=2): Max 8 electrons (\(2 \times 2^2 = 8\))
• Third shell (n=3): Max 18 electrons (\(2 \times 3^2 = 18\))
• Fourth shell (n=4): Max 32 electrons (\(2 \times 4^2 = 32\))

This rule helps predict the electronic configuration of elements.