How Do You Calculate the Cube Length of Packed Silicon Atoms?

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SUMMARY

The discussion focuses on calculating the cube length formed by 1000 kg of silicon atoms, each with a diameter of 2.7 x 10-10 meters and a mass of 4.7 x 10-23 grams. The correct answer is established as 0.75 meters. Participants emphasize the importance of determining the number of silicon atoms in the given mass to solve the problem effectively.

PREREQUISITES
  • Understanding of atomic mass and volume calculations
  • Familiarity with the concept of packing density
  • Basic knowledge of unit conversions (grams to kilograms)
  • Proficiency in using scientific notation
NEXT STEPS
  • Learn about calculating the number of atoms in a given mass using Avogadro's number
  • Study the concept of packing efficiency in crystalline structures
  • Explore volume calculations for different geometric shapes
  • Investigate the properties of silicon and its applications in engineering
USEFUL FOR

Students in chemistry and engineering, particularly those studying atomic structures and material properties, will benefit from this discussion.

camrysedan92
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First off, I am glad to be a newbie to the forum. I am a freshman at Colorado State University who is undeclared with a mechanical engineering concentration. In my Chemistry 111 class, I have been practing a practice test online, but the last problem I can't get right. Can anybody show me how to do it? Don't worry about cheating or anything, it is only a practice test and not worth any points.

Question:
A silicon atom-diameter 2.7X10 to the negative 10 meters, and a mass of 4.7X10 to the negetive 23rd grams. they are packed into a cube. What is the length of the cube formed by 1000kg of silicon atoms, packed this way?

the answer is 0.75 meters, but I can't get there, is the problem.
 
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welcome to pf!

hi camrysedan92! welcome to pf! :smile:

(try using the X2 icon just above the Reply box :wink:)
camrysedan92 said:
A silicon atom-diameter 2.7X10-10 meters, and a mass of 4.7X10-23 grams. they are packed into a cube. What is the length of the cube formed by 1000kg of silicon atoms, packed this way?

show us what you've tried, and where you're stuck, and then we'll know how to help! :wink:
 
Hint: try figuring out how many silicon atoms are in 1000 kg of silicon.
 

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