Gold forms a substitutional solid solution with silver. Compute the number of gold atoms per cubic centimeter for a silver-gold alloy that contains 42 wt% Au and 58 wt% Ag. The densities of pure gold and silver are 19.32 and 10.49 g/cm3, respectively. The atomic weight of Au is 196.97 g/mol.

The number of gold atoms per cubic centimeters in the given alloy is

Explanation:

To calculate the number of gold atoms per cubic centimeters for te given silver-gold alloy, we use the equation:

where,

= number of gold atoms per cubic centimeters

= Avogadro's number =

= Mass percent of gold in the alloy = 42 %

= Density of pure gold =

= Density of pure silver =

= molar mass of gold = 196.97 g/mol

Putting values in above equation, we get:

Hence, the number of gold atoms per cubic centimeters in the given alloy is

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