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Question: Sodium metal crystallizes as a body centered cubic lattice with the cell edge 4.29 Å. What is the ra...

Sodium metal crystallizes as a body centered cubic lattice with the cell edge 4.29 Å. What is the radius of sodium atom.

A

1.857×10−8cm1.857 \times 10^{- 8}cm

B

2.371×10−7cm2.371 \times 10^{- 7}cm

C

3.817×10−8cm3.817 \times 10^{- 8}cm

D

9.312×10−7cm9.312 \times 10^{- 7}cm

Answer

1.857×10−8cm1.857 \times 10^{- 8}cm

Explanation

Solution

Radius of NaNa (if bcc lattice)=3a4=3×4.294= \frac{\sqrt{3}a}{4} = \frac{\sqrt{3} \times 4.29}{4}

=1.8574A˚=1.8574×10−8cm= 1.8574Å = 1.8574 \times 10^{- 8}cm