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Sometimes it is desirable to be able to determine the weight percent of one element, C_{1} that will produce a specified concentration in terms of the number of atoms per cubic centimeter, N_{1}, for an alloy composed of two types of atoms. This computation is possible using the following expression:

Where

N_{A} = Avogadro’s number

ρ_{1} and ρ_{2} = densities of the two elements

A_{1} and A_{2} = the atomic weights of the two elements

Derive Equation 4.19 using Equation 4.2 and expressions contained in Section 4.4.

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