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Q. Iron crystallizes in body centered cubic system with edge length $2.86 \AA$ . The density of iron is nearly 'X' g/ml. What is the value of 'X' here?
Report your answer by rounding it upto nearest whole number.

NTA AbhyasNTA Abhyas 2022

Solution:

Formula:
$d=\frac{Z \times M}{a^{3} \times N_{A}}=\frac{2 \times 56}{\left(2.86 \times 1 0^{- 8}\right) \times 6.02 \times 1 0^{23}}$
$d\approx7.92 \, g \, cm^{- 3}\sim eq8\text{ g cm}^{- 3}$
$d\simeq 8 \, g/ml$