How to Deal with Solid State Numerical Problems - Part 4

Close-packing of spheres in geometry is a dense, infinite, regular arrangement of congruent, identical spheres in an arrangement (aka lattice).


The cubic (or isometric) crystal system in crystallography is a crystal system where the unit cell is in the shape of a cube, one of the most common and simplest shapes found in crystals and minerals.

One of the three main varieties of these crystals is body-centered cubic (cI or bcc).

Question:

Determine the density of the Sodium metal (bcc type). Atomic radius of Sodium = 1.6 x 10–10 m.

Solution:




Click/tap to enlarge the image

r = Atomic radius, a = Unit cell length, d = Density, Z = Lattice point, M = Molar mass, N = Avogadro number

Sassy solid state❓ Let Chemaficionado know in the comments below or at mychemistryhomework@gmail.com❗

References:

(1)    Wikipedia Contributors. Cubic crystal system. Wikipedia. https://en.wikipedia.org/wiki/Cubic_crystal_system.

‌(2)    Ncert. Chemistry : Textbook for Class XI - Part.I; National Council Of Educational Research And Training: New Delhi.

(3)    Brown, C.; Ford, M. Higher Level Chemistry, 2nd ed.; Pearson Education: Harlow, Essex, 2014.

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