obtain the relationship between density of a substance and the edge length of unit cell ?
Answers
Answer:
1. If edge length of cubic unit cell is a, the volume of unit cell is a³.
2. Suppose that mass of one particle is m and that there are n particles per unit cell.
Mass of unit cell = m*n ...............(1)
3. The density of unit cell (row) , which is same as density of sub-substance is given by
p(row) = mass of unit cell / volume of unit cell
= m*n/a³ .....................(2)
= density of substance.
4. Molar mass (M) of the substance is given by
M = mass of one particle * number of particles per mole
= m*NA (NA is Avogadro number )
Therefore , m = M/NA .........(3)
5. Combining Equation 1 and 3
p(row) = n M/a³NA
Mark as Brainliest