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When heated above 916^(@)C, iron changes...

When heated above `916^(@)C`, iron changes, its crystal structure from body centred cubic to cubic closed packed structure. Assuming that the metallic radius of an atom does not change, calculate the ratio of the density of the bcc crystal to that of ccp crystal.

Text Solution

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Let the density of iron in bcp structure `=rho_(1)`
Let the density of iron in ccp structure =`rho_(2)`
The efficiency of packing in bcp `=68%`
The efficiency fo the packing in ccp `=74%`
The density of the crystal is related to the efficiency of the packing as
`(rho_(1))/(rho_(2))=((68%))/((74%))=0.919`.
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