Question

derive the relation between molar mass, density of substance and unit cell edge length of crystal​

Answer 1

Answer:

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Answer 2

The relation between molar mass, the density of a substance, and unit cell edge length of crystal are derived below-

• Density is the mass per unit volume. density (d) = mass / volume

        density = mass of unit cell/volume of the unit cell

• Mass of unit cell = (Z×M) / N₀

       Where Z is the effective number of atoms in the unit cell, m is molar mass, and N₀ is the Avogadro number

• Therefore, d = (Z×M)/(N₀×a³)

        where a is the edge length of the unit cell.

• Therefore, density = (Z×M)/(N₀×a³)

So density is directly proportional to the molar mass of the unit cell and inversely proportional to the cube of the unit cell edge length of the crystal.