Question

find desnity of cube copper mass radius give copper crystallizes in fcc

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Copper crystallizes in fcc lattice and has density 8.93 gram per CM the rad

Copper crystallizes in fcc lattice and has density 8.93 gram per CM the radius of copper atom is closest to(atomic mass = 63.5)

chemistry

  

 









d=z×Ma3×NAd=z×Ma3×NA

No. of atoms in fcc lattice z=4

d=4×63.5mol−1(3.61×10−8cm)3×(6.02×1023mol−1)d=4×63.5mol−1(3.61×10−8cm)3×(6.02×1023mol−1)

Atomic mass of unit cell =4×63.56.02×10234×63.56.02×1023g

⇒4.22×10−22⇒4.22×10−22g

Density =Mass of unit cellVolume of unit cellMass of unit cellVolume of unit cell

⇒4.22×10−2247.4×10−24cm2⇒4.22×10−2247.4×10−24cm2

⇒8.9gcm−3⇒8.9gcm−3

Which is in close agreement with the measured value.

Density = Mass of unit cell/Volume of unit cell

8.93=(4×63.5)/(a3×6.02×1023).8.93=(4×63.5)/(a3×6.02×1023).

a3=47.24x10−24a3=47.24x10−24

=360pm