Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

5. ne 10 10. fe 26 create box diagrams for each of the following elemen…

Question

  1. ne 10 10. fe 26 create box diagrams for each of the following elements/ions. only use your periodic table and your knowledge of the three rules to complete this task. 1. ne 2. na⁺¹ 3. al 4. p 5. fe

Explanation:

Response
1. Ne (Neon)
  • Step 1: Determine electron configuration

Neon has an atomic number of 10, so its electron configuration is \(1s^2 2s^2 2p^6\).

  • Step 2: Draw box diagram for each subshell
  • \(1s\): 1 box, 2 electrons (paired): \(\boxed{\uparrow\downarrow}\)
  • \(2s\): 1 box, 2 electrons (paired): \(\boxed{\uparrow\downarrow}\)
  • \(2p\): 3 boxes, each with 2 electrons (all paired): \(\boxed{\uparrow\downarrow}\ \boxed{\uparrow\downarrow}\ \boxed{\uparrow\downarrow}\)
2. \(\boldsymbol{Na^{+1}}\) (Sodium ion)
  • Step 1: Determine electron configuration

Sodium (\(Na\)) has atomic number 11 (\(1s^2 2s^2 2p^6 3s^1\)). The \(Na^+\) ion loses 1 electron (from \(3s\)), so its configuration is \(1s^2 2s^2 2p^6\) (same as Ne).

  • Step 2: Draw box diagram
  • \(1s\): \(\boxed{\uparrow\downarrow}\)
  • \(2s\): \(\boxed{\uparrow\downarrow}\)
  • \(2p\): \(\boxed{\uparrow\downarrow}\ \boxed{\uparrow\downarrow}\ \boxed{\uparrow\downarrow}\)
3. Al (Aluminum)
  • Step 1: Determine electron configuration

Aluminum has atomic number 13: \(1s^2 2s^2 2p^6 3s^2 3p^1\).

  • Step 2: Draw box diagram
  • \(1s\): \(\boxed{\uparrow\downarrow}\)
  • \(2s\): \(\boxed{\uparrow\downarrow}\)
  • \(2p\): \(\boxed{\uparrow\downarrow}\ \boxed{\uparrow\downarrow}\ \boxed{\uparrow\downarrow}\)
  • \(3s\): \(\boxed{\uparrow\downarrow}\)
  • \(3p\): 3 boxes, 1 electron (unpaired in first box): \(\boxed{\uparrow}\ \boxed{}\ \boxed{}\)
4. P (Phosphorus)

Answer:

  • Step 1: Determine electron configuration

Iron has atomic number 26. The electron configuration is \(1s^2 2s^2 2p^6 3s^2 3p^6 4s^2 3d^6\) (note: \(4s\) fills before \(3d\), then \(3d\) fills).

  • Step 2: Draw box diagram
  • \(1s\): \(\boxed{\uparrow\downarrow}\)
  • \(2s\): \(\boxed{\uparrow\downarrow}\)
  • \(2p\): \(\boxed{\uparrow\downarrow}\ \boxed{\uparrow\downarrow}\ \boxed{\uparrow\downarrow}\)
  • \(3s\): \(\boxed{\uparrow\downarrow}\)
  • \(3p\): \(\boxed{\uparrow\downarrow}\ \boxed{\uparrow\downarrow}\ \boxed{\uparrow\downarrow}\)
  • \(4s\): \(\boxed{\uparrow\downarrow}\)
  • \(3d\): 5 boxes. Fill 6 electrons (Hund’s rule: 5 unpaired first, then pair one):

\(\boxed{\uparrow\downarrow}\ \boxed{\uparrow}\ \boxed{\uparrow}\ \boxed{\uparrow}\ \boxed{\uparrow}\)

Key Notes:
  • Pauli Exclusion Principle: Each orbital (box) holds 2 electrons with opposite spins (\(\uparrow\downarrow\)).
  • Aufbau Principle: Electrons fill lower-energy orbitals first (\(1s \to 2s \to 2p \to 3s \to 3p \to 4s \to 3d \to \dots\)).
  • Hund’s Rule: Electrons fill degenerate (same-energy) orbitals singly before pairing.