The cubic unit cell of a metal (molar mass = 63.55g mol^-1) has an edge length of 362 pm. Its density is 8.92g cm-?. the type of unit cell is

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primitive

face centered

body centered

end centered

answer is B.

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Detailed Solution

$ρ = \frac{ZM}{N_{A} V} Z = \frac{{ρN}_{A} V}{M} = \frac{8.92 \times 6.02 \times 10^{23} \times (362)^{3} \times 10^{- 30}}{63.55} = 4 ∴ It has fcc unit cell$

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