Oganesson (Og) is one of the most recently named elements. It\'s half life is 0.

Question

Oganesson (Og) is one of the most recently named elements. It's half life is 0.7 ms,so its properties will never be measurable. We can, however, used the periodic table to make some predictions. It is in the noble gas family, but predicted to be a solid at room temperature. Its radius is predicted to be 157 pm, which gives a density of 22.3g/cm^3 if it crystallizes as a face centered cell.
Calculate the density of Og assuming a body centered unit cell. Oganesson (Og) is one of the most recently named elements. It's half life is 0.7 ms,so its properties will never be measurable. We can, however, used the periodic table to make some predictions. It is in the noble gas family, but predicted to be a solid at room temperature. Its radius is predicted to be 157 pm, which gives a density of 22.3g/cm^3 if it crystallizes as a face centered cell.
Calculate the density of Og assuming a body centered unit cell.
Calculate the density of Og assuming a body centered unit cell.

Explanation / Answer

The density of the system in the solid state is given by

d = ZM / Na a3

Z = 2 atoms per cell (no of atoms in FCC)

M = 118 g/mol (molar volume of Oganesson)

Na = 6.023x1023 atoms/mol (Avagadro's number)

r = 157 pm

Relation between a and r for BCC, where a is lattice parameter and r is the radius of the atom.

a = 4r/3 = (4x157)/1.73 = 363 x 10-10 cm

d= (2 atoms x 118 g/mol ) / ( 6.023x1023 atoms/mol x (363 x 10-10 cm )3

d =236 / 28.8

d = 8.19 g/cm-3

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