A crystalline solid of a pure substance has a face centred cubic structure with a cell edge of 400 pm. If the density of the substance in the crystal is 8 g cm-3, then the number of atoms present in 256 g of the crystal is N × 1024. The value of N is:

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answer is 2.

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Detailed Solution

d=Z×MNA×a38=4×M6.022×1022×400×10−103M=76.8gmol−176.8g contain =6×1023 atoms ∴256g will contain =20×1023 atoms =2×1024 atoms ∴ N=2

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