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Question

Gold crystallises in ccp structure. The total number of voids present in 197 g of gold will be________.


A
197×NA
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B
2NA
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C
3NA
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D
4×197NA
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Solution

The correct option is A $$3N_A$$
$$Weight\; of\; gold\; =\; 197g\\ molecular\; mass\; of\; gold\; =\; 197g\\ No\; of\; atoms\; of\; gold\; =\; \cfrac { wt.\; of\; gold\;  }{ mol.\; mass\; of\; gold } \; \times \; { N }_{ A }\; \; =\; \; { N }_{ A }\\ In\; CCP,\; there\; are\; 2N_A\; tetrahedral\; voids\; and\; { N }_{ A }\; Octahedral\; voids\; \\ hence\; total\; no.\; of\; voids\; =\; 3{ N }_{ A }\\ \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; \; =\; 3{ N }_{ A }$$

Chemistry

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