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Question -

Aluminium crystallisesin a cubic close-packed structure. Its metallic radius is 125 pm.




Answer -

(i) What is the length of the side of the unit cell?

(ii) How many unit cells are there in 1.00 cm_3 of aluminium?


Answer

(i) For cubic close-packed structure:

= 353.55 pm

= 354 pm (approximately)

(ii) Volume of one unit cell = (354 pm)3

= 4.4 × 107 pm3

= 4.4 × 107 × 10−30 cm3

= 4.4 × 10−23 cm3

Therefore, number ofunit cells in 1.00 cm3 =

= 2.27 × 1022

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