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JEE MainChemistryEasy

Chromium metal crystallizes with a body centered cubic lattice.
The length of the unit cell is found to be 287 pm. Calculate the atomic
radius. What would be the density of chromium in g/cm3?

Show answer and solution
We know for B.C.C. 4R=a34R = a\sqrt{3}
R=287×34=124.27pmR = \frac{287 \times \sqrt{3}}{4} = 124.27pm
Density
=2×526.023×1023(287×10−10)3=7.30gm/cm3= \frac{2 \times 52}{6.023 \times 10^{23}{(287 \times 10^{- 10})}^{3}} = 7.30gm/{cm}^{3}

Source: Grass-G / CH-19 Chemistry Paper 28 Nov. Fourth.docx

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