Mole Conversions

1. Conversions from particles <--> moles
(recall 6.022 x 10^23)

From particles --> moles
3.01 x 10^24 particles x (1 mole/ 6.022 x 10^23) = 5.00 moles

From moles --> particles/molecules/formula units
Ex. 0.75 moles of CO2 --> molecules
0.75 moles x (6.022x10^23/ 1 mole) = 4.5 x 10^23 molecules of CO2

Ex. 0.75 moles of CO2 --> atoms of Oxygen
4.5 x 10^23 molecules x 2 atoms of O = 9.0 x 10^23 atoms of oxygen.

2. Conversions between grams <-->moles

From moles --> grams 
Ex. 2.04 moles of carbon --> grams
molar mass of Carbon = 12.0 g / mol
2.04 mole x 12.0 g/ 1 mole = 24.5 grams of Carbon

Ex. 0.341 moles of NO2 --> grams
Molar mass of NO2 = 46.0 g / mol
0.341 moles x (46.0 g / 1 mole) =  15.7 grams of NO2

Here is a video explaining how to convert moles to grams:



From grams --> moles
Ex. 3.45 grams of Carbon --> moles
Atomic mass of Carbon = 12 grams
3.45 grams x (1 mole / 12 grams) = 0.288 moles

Ex. 6.2 grams of MgCL2 --> moles
Molecular mass of MgCL2 = 95.3 grams
6.2 grams x (1 mole / 95.3 grams) = 0.065 moles

Here is a video explaining how to convert grams to moles: