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

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Homework Help Overview

The problem involves calculating the length of a cubical box that can contain 1 mole of sugar cubes, each with an edge length of 1 cm. The concept of a mole and its implications in volume calculations are central to the discussion.

Discussion Character

  • Conceptual clarification, Assumption checking, Exploratory

Approaches and Questions Raised

  • Participants discuss the definition of a mole and its relation to Avogadro's Number. There are attempts to connect the volume of sugar cubes to the dimensions of a larger cube. Some participants question the nature of the unit of a mole and its practical implications.

Discussion Status

The discussion is exploring various interpretations of the problem, with some participants providing clarifications about the mole and its relevance to the volume of the sugar cubes. There is no explicit consensus on the approach to take, but several lines of reasoning are being examined.

Contextual Notes

Participants express uncertainty about the concept of a mole and its application in this context, indicating a need for further clarification on the unit's significance in chemistry.

armolinasf
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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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