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  • A compound is formed by two elements A and B. The elements B forms cubic close packed structure and atoms of A occupy <img alt="\frac{1}{3}" src="https://entrancecorner.oncodecogs.com/gif

A compound is formed by two elements A and B. The elements B forms cubic close packed structure and atoms of A occupy \frac{1}{3} of tetrahedral voids. If the formula of the compound is A_x B_y, then the value of x+y is in option
 

Option: 1

5


Option: 2

4


Option: 3

3


Option: 4

2


Answers (1)

best_answer

\\\mathrm{B} \rightarrow \mathrm{CCP} \rightarrow 4\\$ $\mathrm{A} \rightarrow \frac{1}{3}$ of $\mathrm{THV} \rightarrow \frac{1}{3} \times 8\\$ $\mathrm{A_{B / 3} B_4} \rightarrow$ formula of compound\\ or $\mathrm{A_8 B_{12}}$\\ or $\mathrm{A}_2 \mathrm{~B}_3$ (simple ratio)\\ So, $x=2$ \& $y=3$\\ $x+y=2+3=5

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