1. The density of solid W is 19.3 g/cm. How many atorns are present per cubic centimeter of W?
atoms/ cm As a solid, W adopts a body-centered cubic unit cell. How many unit cells are present
per cubic centimeter of W? Number unit cells/ em What is the volume of a unit cell of this
metal? cm What is the edge length of a unit cell of W? cm Exit- ?Previous @or e Up & View
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Solution
(a)
(19.3 g/cm 3
) x [(6.022 x 10 23
W atoms)/(183.84 g W)] = 6.32 x 10 22
atoms/cm 3
(b)
In a bcc unit cell there are a total of 2 atoms, hence
[(1 unit cell)/(2 atoms)] x [(6.32 x 10 22
atoms)/(1 cm 3
)] = 3.16 x 10 22
unit cells/cm 3
(c)
The volume of the unit cell is obtained using,
1 unit cell /(3.16 x 10 22
unit cells/cm 3
) = 3.16 x 10 -23
cm 3
(d)
edge length is obtained using V = a 3
a = (3.16 x 10 -23
cm 3
) 1/3
= 3.16x10 -8
cm
Thank you