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Question -

Copper crystallises intoa fcc lattice with edge length 3.61 ├Ч 10тИТ8┬аcm. Show that thecalculated density is in agreement with its measured value of 8.92 g cmтИТ3.



Answer -

Edge length,┬аa┬а=3.61 ├Ч 10тИТ8┬аcm

As the lattice is fcctype, the number of atoms per unit cell,┬аz┬а= 4

Atomic mass,┬аM =63.5 g molтИТ1

We also know that, NA┬а= 6.022 ├Ч 1023┬аmolтИТ1

Applying the relation:

┬а ┬а ┬а ┬а ┬а ┬а ┬а ┬а ┬а┬а

= 8.97 g cmтИТ3

The measured value ofdensity is given as 8.92 g cmтИТ3. Hence, the calculateddensity 8.97 g cmтИТ3┬аis in agreement with its measured value.

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