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

[armolinasf]

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

 

[danago]

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.

 

[armolinasf]

That's a weird unit, but the question is basically asking for the cube root of one mole right?

 

[danago]

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]

Mole is just an overgrown dozen.