23) If potassium has a body centered cubic structure and an atomic radius of 0.280 nm, find the volume fraction of the unit cell occupied by void spaces. [MW: K = 39] A. 0.52 B. 0.32 C. 0.74 D. 0.68

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23) If potassium has a body centered cubic structure and an atomic radius of 0.280 nm, find the
volume fraction of the unit cell occupied by void spaces. [MW: K = 39]
A. 0.52
B. 0.32
C. 0.74
D. 0.68
Transcribed Image Text:23) If potassium has a body centered cubic structure and an atomic radius of 0.280 nm, find the volume fraction of the unit cell occupied by void spaces. [MW: K = 39] A. 0.52 B. 0.32 C. 0.74 D. 0.68
SAMPLE SOLUTION
Tantalum is a rare, hard, blue-gray, lustrous transition metal that is highly corrosion-
resistant. It has a density of 16.4 grams per cubic centimeter and a molecular weight of
180.948 g/mol. What is the atomic radius of Ta if it adopts the body centered cubic unit
structure.
Garen: Tantalum, Ta
BCC structure
P- 16.4 /om?
MW 180.948 9/mol
Reg'd: at omic radius (r)
So lu :
BCC structure
A atoms
2 atoms
# mw
Ve Na
2 atoms (180.948)
(10'na)
(1 an)
-23
# Mw
mot
23 ovans
(4.022 x10
Yell
3. 64 x1D
Cm
P Na
16.4 guins
Cm
0.0366 nm
0.0366
= 0. 3321 nm
Lo.9ラ2)
0.144 nm
a
Transcribed Image Text:SAMPLE SOLUTION Tantalum is a rare, hard, blue-gray, lustrous transition metal that is highly corrosion- resistant. It has a density of 16.4 grams per cubic centimeter and a molecular weight of 180.948 g/mol. What is the atomic radius of Ta if it adopts the body centered cubic unit structure. Garen: Tantalum, Ta BCC structure P- 16.4 /om? MW 180.948 9/mol Reg'd: at omic radius (r) So lu : BCC structure A atoms 2 atoms # mw Ve Na 2 atoms (180.948) (10'na) (1 an) -23 # Mw mot 23 ovans (4.022 x10 Yell 3. 64 x1D Cm P Na 16.4 guins Cm 0.0366 nm 0.0366 = 0. 3321 nm Lo.9ラ2) 0.144 nm a
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