KI crystallizes in a cubic unit cell with I^- ions on each corner and each face.How many K⁺ and I^- ions are in each unit cell of KI? A)1 K⁺ ion and 1 I^- ion B)2 K⁺ ions and 2 I^- ions C)4 K⁺ ions and 4 I^- ions D)8 K⁺ ions and 8 I^- ions

Question

Quizplus · Accepted Answer

In a cubic unit cell with ions on each corner and each face, each corner ion contributes 1/8 of its volume to the unit cell (since each corner is shared by 8 unit cells), and each face-centered ion contributes 1/2 of its volume (since each face is shared by 2 unit cells). There are 8 corners and 6 faces, so the calculation for each type of ion is: (8 corners * 1/8) + (6 faces * 1/2) = 1 + 3 = 4. Therefore, there are 4 K+ ions and 4 I- ions in each unit cell.

KI Crystallizes in a Cubic Unit Cell with I- Ions

KI Crystallizes in a Cubic Unit Cell with I^- Ions