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Explain how can you determine the atomic...

Explain how can you determine the atomic mass of an unknown metal if you know its mass density and the dimensions of unit cell of its crystal.

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( Atomic mass , ` M = ( p xx a^(3) xx N_(0))/Z` )
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Density of a unit cell is same as the density of the substance. If the density of the substance is known, number of atoms or dimensions of the unit cell can be calculated . The density of the unit cell is related to its mass(M), no. of atoms per unit cell (Z), edge length (a in cm) and Avogadro number N_A as : rho = (Z xx M)/(a^3 xx N_A) An element crystallizes in a structure having a fcc unit-cell an edge 100 pm. If 24 g of the element contains 24 xx 10^(23) atoms, the density is