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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:
` a = 5.94 xx 10^(-8) cm , V = a^(3) = 2.096 xx 10^(-22) cm^(3) `
Molar mass of the emlment (M) = `( 300)/(2xx 10^(24)) xx 6.02xx 10^(23) = 90.3 " g mol"^(-1)`
Density `(p)= (Z xx M)/(a^(3)xxN_(0))= (4xx90.3)/((250xx10^(-10))^(3) xx (6.02 xx 10^(23))) = 38.4 " g mol" ^(-3)`
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