Science
Metallic vanadium crystallizes in a body-centered cubic lattice, with one V atom

Question Description

Metallic vanadium crystallizes in a body-centered cubic lattice, with one V atom per lattice point. If the metallic radius of V is 130 pm, what is the volume of the unit cell in pm3 and in cm3?

 pm3
 cm3

Please answer it right ive been through 5 tutors with this problem 

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Final Answer

4r = 4 *130 pm = 520 pm 

d2 + (d√2)2 = 5202

 d = 300.22 pm = 300.22 * 10^-10

 a. Volume = (300.22 )^3 pm^3

            = 27060022.2167 pm^3

            = 270.60022 * 10^5 pm^3

b.    27060022.2167  * 10^-30 cm^3

       = 270.60022 * 10^-25 cm^3

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Gopal_R (1109)
Carnegie Mellon University

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