Q24 / 90 · JEE Main 2023 (29 Jan Shift 2) · Chemistry

A metal M forms hexagonal close-packed structure. The total number of voids in 0.02 mol of it is _____ ×1021 (Nearest integer)

(Given NA=6.02×1023)

Correct answer: 36

Solution

From the diagram of voids in HCP:
Figure
There are 6 octahedral voids and 12 tetrahedral voids in a HCP unit cell.
One unit cell of HCP contains =18 voids

Thus, No. of voids in 0.02 mol of hcp

=186×6.02×1023×0.02

≈3.6×1022

≈36×1021

Hence, the correct answer is 36.

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