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A compound is formed by two elements A and B. The element B forms cubic close packed structure and atoms of A occupy 1/3 of tetrahedral voids. If the formula of the compound is AxByA_xB_y, then the value of x+yx + y is in option

A

5

B

4

C

3

D

2

Step-by-Step Solution

Let the number of atoms of B in the ccp structure be NN. The number of tetrahedral voids is 2N2N. Atoms of A occupy 1/3 of the tetrahedral voids, so the number of atoms of A is 13×2N=23N\frac{1}{3} \times 2N = \frac{2}{3}N. The ratio of A:B is 23N:N=2:3\frac{2}{3}N : N = 2:3. Thus, the formula is A2B3A_2B_3. Here x=2x=2 and y=3y=3, so x+y=2+3=5x+y = 2+3 = 5.

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