How many molecules are there in 4.00 mol of glucose?

Question

Henry Antrim · Accepted Answer

#2.49 * 10^(24)"molecules"#

What you're looking for here is a conversion factor that will take you from moles of glucose, #"C"_6"H"_12"O"_6#, to molecules of glucose.

A useful information to have would be the number of molecules in one mole of any substance, since knowing how many molecules you get in one mole will allow you to calculate how many you'd get in #4.00# moles.

It turns out that chemists have a unique number called Avogadro's number that indicates how many molecules there are in one mole of a substance.

More specifically, Avogadro's number tells you that one mole of any substance contains #6.022 * 10^(23)# molecule of that substance

#color(blue)(|bar(ul(color(white)(a/a)"1 mole" = 6.022 * 10^(23)"molecules"color(white)(a/a)|))) -># Avogadro's number

This is going to be your conversion factor, moving you from moles to molecules.

So, if one mole of glucose contains #6.022 * 10^(23)# molecules of glucose, it follows that #4.00# moles of glucose will contain

#4.00 color(red)(cancel(color(black)("moles"))) * overbrace((6.022 * 10^(23)"molec.")/(1color(red)(cancel(color(black)("mole")))))^(color(purple)("Avogadro's number")) = color(green)(|bar(ul(color(white)(a/a)2.49 * 10^(24)"molecules"color(white)(a/a)|)))#

The number of sig figs you have for the quantity of moles of glucose is the answer, which is rounded to three sig figs.

Kai Bowman · Answer

undefined A mole of glucose has about 2.41 x 10^24 molecules per 4.00 mol.