Q.

Calcium crystallises in face-centred cubic unit cell with a=0.556 nm. Calculate density if it contains 0.1% Frenkel defect.

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a

1.700 g/cm3

b

1.546 g/cm3

c

1.424 g/cm3

d

1.458 g/cm3

answer is A.

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Detailed Solution

Frankel defect does not put any effect on the density of solids.

Value of Z is 4 as the crystal has FCC lattice. Density of the crystal is determined as:

D=MZa3×ND=40×40.556×10-73×6.02×1023D=1.546 g/cm3

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