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

In summary, to create an alloy with 2.43e21 Ge atoms per cubic centimeter, the weight percent of germanium added to silicon must be 29.29%. This was calculated by determining the weight of germanium atoms in the alloy and subtracting it from the weight of silicon atoms, then using this difference to determine the weight percent of germanium in the alloy.
  • #1
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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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  • #2
How many atoms of germanium per cubic centimeter in pure germanium?

How many atoms of silicon per cubic centimeter in pure silicon?
 
  • #3
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.
 

What is the definition of weight percent of Ge?

The weight percent of Ge is the percentage of the total weight of an alloy that is made up of Ge. It is calculated by dividing the weight of Ge by the total weight of the alloy and multiplying by 100.

How do I calculate the weight percent of Ge needed to yield an alloy with a specific number of atoms per cubic centimeter?

To calculate the weight percent of Ge needed, you will need to know the atomic weight of Ge, the volume of the alloy, and the desired number of Ge atoms per cubic centimeter. You can use the formula: weight percent of Ge = (atomic weight of Ge * desired number of Ge atoms per cubic centimeter * 100) / volume of the alloy.

What factors can affect the weight percent of Ge needed to yield an alloy with a specific number of atoms per cubic centimeter?

The weight percent of Ge needed can be affected by factors such as the atomic weight of Ge, the volume of the alloy, and the desired number of Ge atoms per cubic centimeter. Other factors like temperature, pressure, and impurities in the alloy can also affect the weight percent of Ge needed.

Can the weight percent of Ge needed to yield an alloy with a specific number of atoms per cubic centimeter change over time?

Yes, the weight percent of Ge needed can change over time due to factors such as oxidation, corrosion, and aging of the alloy. It is important to monitor and adjust the weight percent of Ge as needed to maintain the desired properties of the alloy.

Are there any safety concerns when working with alloys containing high weight percent of Ge?

Yes, when working with alloys containing high weight percent of Ge, it is important to follow proper safety measures. Ge can be toxic if ingested or inhaled, so protective equipment such as gloves and masks should be worn. It is also important to handle and store the alloy properly to prevent any accidents or exposures.

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