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प्रश्न
Silver crystallises in fcc lattice. If edge length of the cell is 4.07 × 10−8 cm and density is 10.5 g cm−3, calculate the atomic mass of silver
उत्तर
It is given that the edge length, a = 4.077 × 10−8 cm
Density, d = 10.5 g cm−3
As the lattice is fcc type, the number of atoms per unit cell, z = 4
We also know that, NA = 6.022 × 1023 mol−1
Using the relation:
`d = (zM)/(a^3N_A)`
`=> M = (da^3N_A)/z`
`= (10.5 "gmc"^(-3)xx(4.077xx10^(-8) cm)^3xx6.022xx10^23 mol^(-1))/4`
= 107.13 gmol−1
Therefore, atomic mass of silver = 107.13 u
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