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NEET CHEMISTRYGeneralMedium

Question

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.

Exam Context & Concepts Covered

This question aligns with the NEET CHEMISTRY syllabus, specifically targeting concepts from General. Mastering this topic is crucial for scoring well in the upcoming medical entrance examinations. Solving conceptually related problems will help you understand the nuances of these concepts and improve your problem-solving speed.

CHEMISTRYcompoundformedelementselementpacked

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