Question

Solution for an element having atomic mass 60 amu.Has fcc unit cell.The edge length of the unit cell 4×10+2 pm .Find the density of the unit cell

Answer 1

logo Ask Questions, Get Answers

Questions >> CBSE XII >> Chemistry >> States of Matter - Solid State

Next similar questionQ)

An element having atomic mass 60 has face-centered cubic unit cells.The edge length of the unit cell is 400pm.Find the density of the element.

6.2gcm−35.2gcm−37.2gcm−38.2gcm−3

A)

Need homework help? Click here.

Need revision notes? Click here.

Unit-cell edge length =400pm=400×10−10cm

Volume of unit cell =(400×10−10cm)3=64×10−24cm3

Mass of the unit cell =Number of atoms in the unit cell × Mass of each atom

Number of atoms in the fcc unit cell =8×18+6×12

⇒4

Mass of one atom =Atomic massAvogadro number

⇒606.023×1023

∴ Mass of the unit cell =4×606.023×1023

∴ Density of unit cell =Mass of unit cellVolume of unit cell

⇒4×606.023×1023×164×10−24

⇒6.2gcm−3