Estimate the average mass density of a sodium atom assuming its size t

1.	Estimate the average mass density of a sodium atom assuming its size to be about2.5 Angstrom. (Use the known values of Avogadro's number and the atomic mass of sodium).Compare it with the mass density of sodium in its crystalline phase : 970 kg m. Arethe two densities of the same order of magnitude ? If so, why?
Answer» Answer: l Mass of each Sodium atom Density = Mass/ VOLUME The densities are almost of the same order. In the solid PHASE, atoms are tightly packed and thus interatomic space is very small. >>>>> ρ=4.67×10 −3 KGM −3 It is given that the density of sodium in the CRYSTALLINE phase is 970 kg m–3. Therefore, the densities of sodium in TWO phases is not of the same order. In the solid phase, atoms are closely packed. Thus, the inter-atomic separation is very small in the crystalline phase.

Estimate the average mass density of a sodium atom assuming its size to be about2.5 Angstrom. (Use the known values of Avogadro's number and the atomic mass of sodium).Compare it with the mass density of sodium in its crystalline phase : 970 kg m. Arethe two densities of the same order of magnitude ? If so, why?

Answer»

Answer:

Mass of each Sodium atom

Density = Mass/ VOLUME

The densities are almost of the same order. In the solid PHASE, atoms are tightly packed and thus interatomic space is very small.

>>>>> ρ=4.67×10 −3 KGM −3

It is given that the density of sodium in the CRYSTALLINE phase is 970 kg m–3.

Therefore, the densities of sodium in TWO phases is not of the same order. In the solid phase, atoms are closely packed. Thus, the inter-atomic separation is very small in the crystalline phase.

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