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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 - Chemistry

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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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अध्याय 1: The Solid State - Exercises [पृष्ठ ३१]

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एनसीईआरटी Chemistry [English] Class 12
अध्याय 1 The Solid State
Exercises | Q 11 | पृष्ठ ३१

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