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Face centred cubic crystal lattice of copper has density of 8.966 g.cm-3. Calculate the volume of the unit cell. - Chemistry

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Face centred cubic crystal lattice of copper has density of 8.966 g.cm-3. Calculate the volume of the unit cell. Given molar mass of copper is 63.5 g mol-1 and Avogadro number Nis 6.022 x 1023 mol-1

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Solution

Data: d=8.966 g cm-1

M.M. of copper = 63.5 gmol–1

NA=6.022XX1023

Solution : `d=(ZxxM)/(VxxN_A)`

Z=4(∵ Fcc)

`V=(ZxxM)/(d xx N_A)`

`=(4xx63.5)/(8.966xx6.023xx10^23)`

V=4.704x10-23 cm3
Concept: Number of Atoms in a Unit Cell
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