Numerical answer · +4 / −1

The maximum number of electrons that can be accommodated in the valence shell of carbon is x.

Answer and solution

Answer 8

Solution

Chemistry ma’am · 4 steps

Carbon's valence shell is n = 2, so ask what that shell can hold, not what carbon puts in it.

  1. Find the shell. Carbon has 6 electrons, arranged as 2 in the first shell and 4 in the second. Its valence shell is the outermost one, n = 2.
  2. Use the capacity rule. A shell with principal quantum number n can hold at most 2n² electrons.

    2n² = 2 × 2² = 8

  3. Check by subshells. The n = 2 shell has one 2s orbital and three 2p orbitals. That makes 4 orbitals, each holding 2 electrons, so the shell holds 8.
  4. So. The valence shell of carbon can hold at most 8 electrons, so x = 8.

The common slip: 4. Giving the number of electrons carbon actually has in its valence shell gives 4, not the shell's capacity of 8.

The idea to keep. The maximum a shell can hold depends only on n: it is 2n². How many electrons an atom actually has in that shell is a separate question.

Answer from the NTA final answer key. Solution by PrepWiser.

Study Atomic Structure

Asked about 170 times in JEE Main since 2020.