The Solid State

Question

How can you determine the atomic mass of an unknown metal if you know its density and the dimension of its unit cell? Explain.

Answer

Solution:

The atomic mass of an unknown metal can be determined by knowing its density and the dimension of unit cell.

 
Let ‘a’ be the edge length of a cubic unit cell and it contains ‘Z’ atoms of a substance of atomic mass ‘M’.

From the above expression for density, d we can calculate the atomic mass, M of metal as other parameters are known.

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