Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE MainChemistrySolid State

In a mixed oxide, the oxide ions form a cubic close-packed (ccp) lattice. Metal P occupies 1 8 th of the tetrahedral voids, and metal Q occupies 1 2 of the octahedral voids. If the crystal is electrically neutral, the respective oxidation states of metals P and Q are:

Options

  1. A+3 and +2
  2. B+2 and +3
  3. C+4 and +1
  4. D+1 and +3

Correct answer

B. +2 and +3

Step-by-step solution

In a ccp lattice of oxide ions, the number of O ²⁻ ions per unit cell is 4 . The number of tetrahedral voids is 2 4 = 8 . Number of P atoms = 1 8 8 = 1 . The number of octahedral voids is 4 . Number of Q atoms = 1 2 4 = 2 . The empirical formula of the mixed oxide is PQ ₂ O ₄ . For the crystal to be electrically neutral, the sum of the oxidation states must be zero. Let the oxidation state of P be x and that of Q be y . 1(x) + 2(y) + 4(-2) = 0 x + 2y = 8 Checking the given options: For +3 and +2 : 3 + 2(2) = 7 8 Fo

Practice Solid State on Quantrex Academy →

More from Solid State

The density (in g cm ⁻³ ) of the metal which forms a cubic close packed (ccp) lattice with an axial distance (edge length) equal to 400 pm is . Use: Atomic mass of metal =105.6 amu 2025Atoms of metals x , y and z form face-centred cubic (fcc) unit cell of edge length L x , body-centred cubic (bcc) unit cell of edge length L y , and simple cubic unit cell of edge 2023Which of the following expressions is correct in case of a CsCl unit cell (edge length ‘ a ’) ? 2023Sodium metal crystallises in a body centred cubic lattice with unit cell edge length of 4 Å . The radius of sodium atom is _ _ _ × 10 - 1 Å . (Nearest integer) 2023An atomic substance A of molar mass 12 g mol – 1 has a cubic crystal structure with edge length of 300 pm . The no. of atoms present in one unit cell of A is (Nearest integer 2023The correct relationships between unit cell edge length ‘ a ’ and radius of sphere ‘ r ’ for face-centred and body-centred cubic structures respectively are 2023Number of crystal systems from the following where body centred unit cell can be found, is _____. Cubic, tetragonal, orthorhombic, hexagonal, rhombohedral, monoclinic, triclinic 2023A compound is formed by two elements X and Y . The element Y forms cubic close packed arrangement and those of element X occupy one third of the tetrahedral voids. What is the form 2023 Full Solid State list All JEE Main PYQs