The molecular formula of a crystalline solid is X ₃ Y ₂ . Atoms of Y form ccp lattice, and atoms of X occupy 50 % octahedral voids and x % of tetrahedral voids. What is the percentage of unoccupied tetrahedral voids?

Step-by-step solution

Molecular formula = X ₃ Y ₂ aligned & Y atom = ccp =4 & X atom = 50 4 100 + x 8 100 [ array l Td void =8 Oh void =4 array ] & X (50 4) 100 + x 8 100 2 Y₂ & 50 4 100 + x 8 100 2 =3 & or, 2+ 8 x 100 =6 & 8 x 100 =4 & x=50 % aligned