A compound is formed by two elements A and B. The element B forms cubi...
Let the no. of voids in B be = n Then octahedral voids will also be=n No. of tetrahedral voids is double the octahedral voids (its a rule) = 2n It is given no. of voids of of A is 1/3 of tetrahedral voids so no. of voids of A is 2n/3 No we Get formulae A(2n/3) B (n) Or A(2)B(3) as a molecule cant exist in fraction so we hav to multiply it by 3 thats why A(2)B(3)
A compound is formed by two elements A and B. The element B forms cubi...
Solution:
Given, the element B forms cubic close packing and atoms of A occupy 1/3rd of tetrahedral voids.
Cubic close packing (ccp) - In ccp, the spheres are arranged in such a way that the first layer is formed by arranging spheres in a hexagonal pattern and the second layer is placed in the depressions of the first layer. The third layer is placed on the second layer in the same way as the first layer, and so on.
Tetrahedral voids - Tetrahedral voids are the voids that are formed when four spheres are arranged in a tetrahedral shape.
The ratio of tetrahedral voids to the number of close-packed spheres is 1:2.
Let the number of atoms of A be x.
Number of tetrahedral voids = 2 × number of close-packed spheres
1/3 of tetrahedral voids are occupied by A atoms
Hence, the number of A atoms = 1/3 × 2 × 4x/3 = 8x/27
The number of B atoms = 4x/3
The formula of the compound will be A8xB4x/3.
Reducing it to the simplest whole number ratio, we get A2B3.
Hence, the correct answer is option A.
Note: The ratio of the number of A atoms to the number of B atoms in the compound is 2:3.