Discover the Length of a Box Containing 1 Mole of Sugar Cubes

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SUMMARY

The discussion centers on calculating the dimensions of a cubical box that can contain 1 mole of sugar cubes, where each sugar cube has an edge length of 1 cm. A mole, defined as Avogadro's Number (6.02 x 1023), represents a specific quantity of particles. The total volume occupied by 1 mole of sugar cubes is 6.02 x 1023 cm3, leading to the conclusion that the edge length of the box is the cube root of this volume, approximately 8.43 x 107 cm.

PREREQUISITES
  • Understanding of Avogadro's Number (6.02 x 1023)
  • Basic knowledge of volume calculation (V = length3)
  • Familiarity with cube roots and their mathematical implications
  • Concept of moles in chemistry
NEXT STEPS
  • Research the implications of Avogadro's Number in chemical reactions
  • Learn about volume calculations for different geometric shapes
  • Explore the concept of dimensional analysis in chemistry
  • Study the significance of moles in stoichiometry
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Chemistry students, educators, and anyone interested in understanding the concept of moles and their applications in volumetric calculations.

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Homework Statement



A typical sugar cube has an edge length of 1 cm. If you had a cubical box that contained 1 mole of sugar cubes what would its length be?

I'm pretty sure I could solve this one if I had a better idea as to what a mole actually is...Thanks for the help
 
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A mole of some object is simply 6.02*1023 of that object. This number is known as Avogadro's Number. For example, 1 mole of hydrogen molecules consists of 6.02*1023 H2 particles, and 2 moles of golf balls consists of 12.04*1023 balls.

If you have 1 mole of sugar cubes, you could easily work out the total volume occupied by those cubes (given that each individual cube has a volume of 1 cm3). You could then work out what size cube would give this total volume.
 
That's a weird unit, but the question is basically asking for the cube root of one mole right?
 
armolinasf said:
That's a weird unit, but the question is basically asking for the cube root of one mole right?

It is a very useful unit in chemistry. Essentially, yea the answer will be the cube root of avogadros number.
 
Mole is just an overgrown dozen.
 

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