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Question

Chemistry Question on The solid state

A metal has bcc structure and the edge length of its unit cell is 3.04 ?3.04\, ?. The volume of the unit cell in cm3cm^3 will be

A

1.6×1021 cm31.6 \times 10^{21} \, cm^3

B

2.81×10−23 cm32.81 \times 10^{-23 } \, cm^3

C

6.02×10−23 cm36.02 \times 10^{-23} \, cm^3

D

6.6×10−24 cm36.6 \times 10^{-24} \, cm^3

Answer

2.81×10−23 cm32.81 \times 10^{-23 } \, cm^3

Explanation

Solution

Volume of unit cell (V) =a3 = a^3
∴  =(3.04×10−8cm)3\therefore \, \, = (3.04 \times 10^{-8} cm)^3
=2.81×10−23 cm3= 2.81 \times 10^{-23} \, cm^3