An element in its solid phase forms a cubic crystal lattice with mass density 7950kg/m^3. ?
To envision this, imagine that you place atoms at the centers of tiny sugar cubes, then stack the little sugar cubes to form a big cube. If you dissolve the sugar, the atoms left behind are in a cubic crystal lattice. The smallest spacing between two adjacent atoms is 0.227 nm.
What is the element’s atomic mass number?
ρ=7950kg/m³
d = 0.227 nm =2.27e-10 m
N₀=6.022e23 particles/mol
V₀=d³=(2.27e-10)³=11.697083e-30 m³
The number of atoms in 1 m³ is
N=1/11.697083e-30=8.549e28
The number of moles in 1 m³ is
n=N/N₀=8.549e28/6.022e23=141965 moles
The mass of 1 mole is
7950/141965=0.05599967kg/mol≈56g/mol ==>
The mass number of the element is 56.
The element is iron.
http://en.wikipedia.org/wiki/Iron
The Crystal Cube 1/4
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