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Some of the metals with BCC structures are not close packed. Therefore, their densities would be greater if they were to change to a cubic close packed structure. What would be density of a metal if it had a cubic close packed structure rather than BCC? Its actual density is 19.3 g/ cc. |
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Answer» Solution :`rho_("CCP")=(4M)/(N_(A)a_("CCP")^(3))` and`rho_("BCC")=(2M)/(N_(A)a_("BCC")^(3))`, `implies (rho_("CCP"))/(rho_("BCC"))=2((a_("BCC"))/(a_("CCP")))^(3)"`: Also in FCC `4r=sqrt(2a_("CCP"))` in BCC, `4r=sqrt(3)a_("BCC")` `implies (rho_("CCP"))/(19.3)=2((2)/(3))^(3//2)`=1.08867 `implies rho_("CCP")=21g//cc` |
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