Even v a good word-processing program, having to click on an icon to obtain a superscript, and also then remembering to click turn off after you kind the numbercan be a genuine hassle. If us did not understand ofmoles, and instead just knew of numbers of atoms or molecule (big numbers the require many superscripts), life would be much an ext complicated;we would certainly make much more typing errors.

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## Conversions in between Moles and number of Particles

Using our unit conversion techniques, we can use the mole brand to convert ago and forth between the variety of particles and also moles.

Example (PageIndex1)

The aspect carbon exist in two major forms: graphite and diamond. How numerous moles the carbon atoms is (4.72 imes 10^24) atoms of carbon?

Solution

Step 1: perform the well-known quantities and also plan the problem.

Known

variety of (ceC) atoms (= 4.72 imes 10^24) (1) mole (= 6.02 imes 10^23) atoms

Unknown

(4.72 imes 10^24 = ?) atoms (ceC)

One conversion variable will allow us to transform from the number of (ceC) atoms to moles of (ceC) atoms.

Step 2: Calculate.

<4.72 imes 10^24 : extatoms : ceC imes frac1 : extmol : ceC6.02 imes 10^23 : extatoms : ceC = 7.84 : extmol : ceC>