What is the volume of the atom of an element that crystallizes as a body-centered cube if the volume

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Science

Description

What is the volume of the atom of an element that crystallizes as a body-centered cube if the volume of the unit cell is 1.97 x 10-22 cm3 ?

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Explanation & Answer

Using the Pythagorean Theorem, we find:

d2 + d2 = (4r)2

2d2 = 16r2

r2 = d2 ÷ 8

r = d ÷ 2(√2)

r = 1.3748 x 10¯8 cm///////////////////////


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