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Q.

In a compound atoms of element ‘Y’ form C.C.P. lattice and those of element ‘X’ occupy 2/3rd of tetrahedral voids. The formula of the compound will be

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a

X2Y

b

X3Y4

c

X2Y3

d

X4Y3

answer is D.

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Detailed Solution

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'Y' occupies CCP lattice hence the effective number of Y = 4

'X' occupies 2/3 of tetrahedral voids 

Number of tetrahedral voids generated in any unit cell is = 2n

= 2×4 = 8

Since X occupies 2/3 of tetrahedral voids ,

 so Effective number of X = 2/3​ × 8= 16​/3

So X=16​/3  &  Y=4 , 

Hence simplest formula is X4​Y3​ 

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