Weight percent of Ge needed to yield alloy with x atoms/cm3

AI Thread Summary
To determine the weight percent of germanium (Ge) needed to achieve an alloy with 2.43e21 Ge atoms per cubic centimeter in silicon (Si), the densities of pure Ge and Si are essential, being 5.32 g/cm3 and 2.33 g/cm3, respectively. The calculation begins by finding the weight of Ge per atom, which is approximately 1.20555e-22 grams. Next, the total grams of Ge required for the desired atom concentration is calculated, resulting in 0.292949 grams per cubic centimeter. By calculating the number of atoms in pure Ge and Si, the weight of both elements can be determined, allowing for the final calculation of weight percent. This method effectively combines atomic and weight calculations to find the necessary composition for the alloy.
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Homework Statement


Germanium forms a substitutional solid solution with silicon. Compute the weight percent of germanium that must be added to silicon to yield an alloy that contains 2.43e21 Ge atoms per cubic centimeter. The densities of pure Ge and Si are 5.32 and 2.33 g/cm3 respectively.


Homework Equations


not sure

The Attempt at a Solution


calculate Ge weight per atom:
72.6/6.0221418e23 = 1.20555e-22

calculate g/cm3 germanium in alloy
1.20555e-22*2.43e21 = 2.92949e-1

I'm not sure what to do next.
 
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Ah, thanks Borek! I calculated the atoms per cc for Si and Ge as you said, subtracted the Ge atoms needed per cc from the Si since the Ge was the lower of the two, calculated the weight of both and used that to determine weight percent.
 
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