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Question -

Copper crystallises intoa fcc lattice with edge length 3.61 × 10−8 cm. Show that thecalculated density is in agreement with its measured value of 8.92 g cm−3.



Answer -

Edge length, a =3.61 × 10−8 cm

As the lattice is fcctype, the number of atoms per unit cell, z = 4

Atomic mass, M =63.5 g mol−1

We also know that, NA = 6.022 × 1023 mol−1

Applying the relation:

                  

= 8.97 g cm−3

The measured value ofdensity is given as 8.92 g cm−3. Hence, the calculateddensity 8.97 g cm−3 is in agreement with its measured value.

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