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Q.

A metal crystallizes in such a lattice that only 60% of the total crystal space is occupied by the atoms. If atomic mass of the metal is $64 π$ gram/mole and atomic radius is 0.2 nm. Find out density of metal in gram/ $c m^{3}$ $[N_{A} = 6 \times 10^{23}] ?$

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Detailed Solution

$V \times \frac{60}{100} = \frac{4}{3} π r^{3} \times N_{A}$

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A metal crystallizes in such a lattice that only 60% of the total crystal space is occupied by the atoms. If atomic mass of the metal is 64π gram/mole and atomic radius is 0.2 nm. Find out density of metal in gram/ cm3 [NA=6×1023]?