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An element crystallizes in a f.c.c. latt...

An element crystallizes in a f.c.c. lattice with cell edge of 250 pm. Calculate the density if 300 g of this element contain `2 xx 10^(24)` atoms.

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The correct Answer is:
`38.4 "g cm"^(-3)`
Molar mass of the element (M)=`300/(2xx10^24)xx6.02xx10^23=90.3 g mol^(-1)`
Density`(rho)=(ZxxM)/(a^3xxN_0)=(4xx90.3)/((250xx10^(-10))^3xx(6.02xx10^23))=38.4 g cm^(-3)`
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