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A metallic el...

Question

A metallic element crystallises into a lattice containing a sequence of layers of ABABAB... and so on. The packing of spheres leaves out voids in the lattice. The percentage of empty space (by volume) is:

A

52 %

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B

26 %

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C

50 %

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D

74 %

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Solution

The correct option is B $26 %$
A lattice containing a sequence of layers of ABABAB is HCP.

The packing efficiency of HCP is $74.05 %$ .

Thus, the percentage of empty space in the arrangement is $100 - 74.05 = 25.95 %$ .

Option B is the nearest answer.

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