# Length and Moles

## 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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danago
Gold Member
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?

danago
Gold Member
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.

Borek
Mentor
Mole is just an overgrown dozen.