Q.

Iron exhibits bcc structure at room temperature. Above 900 oC, it transforms to fcc structure. The ratio of density of iron at room temperature to that at 900 oC (assuming molar mass and atomic radii of iron remains constant with temperature) is

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a

32

b

4332

c

3342

d

12

answer is C.

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Detailed Solution

For bcc lattlce : Z=2,a=4r3For fcc lattice:Z=4,a=22r∴dR⋅Td900∘C=ZMNAa3bccZMNAa3fccGiven, molar mass and atom radii are constant.=2422r4r33=3342
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Iron exhibits bcc structure at room temperature. Above 900 oC, it transforms to fcc structure. The ratio of density of iron at room temperature to that at 900 oC (assuming molar mass and atomic radii of iron remains constant with temperature) is