Answer:
A mole is equal to 6.022 × [tex]10^{23}[/tex] atoms/molecules.
Explanation:
A mole is a unit of measurement. Think of it as a unit of measurement just like a dozen of eggs is equal to 12 eggs, one mole is equal to 6.022 × [tex]10^{23}[/tex] atoms/molecules. This number, 6.022 × [tex]10^{23}[/tex], is known as Avogadro's number and you use it to convert from the number of moles to the number of atoms or molecules.
For example, if you want to convert 81 grams of water ([tex]H_{2}O[/tex]) to the number of atoms, you will need to use Avogadro's number. First, you have to find the molar mass of the water. To do this, you look at the periodic table and find the mass of hydrogen and oxygen because those are the elements that make up water. The subscript of the element tells you how many atoms of that particular element you have. So water has 2 hydrogen atoms and 1 oxygen atom. The molar mass tells you how many grams of a substance makes up 1 mole of that substance and it will vary by substance (no two different substances will have the exact same molar mass).
Molar Mass of Water: (2 × 1.008 g) + (1 × 15.999 g)= 18.015 grams
After we find the molar mass of the substance, we can use Avogadro's number to convert from grams to moles and then from moles to the number of atoms.
[tex]\frac{81 grams H_{2}O }{1} * \frac{1 mole H_{2}O }{18.015 grams H_{2}O } * \frac{6.022*10^{23} atoms}{1 mole H_{2}O } = 2.708*10^{24}[/tex] atoms of [tex]H_{2}O[/tex]
To convert grams to kilograms you need to know the conversion factor between them which is 1000 grams equals 1 kilogram. For example, if you are given 7,389 grams and you want to convert that to kilograms you do:
[tex]\frac{7389 grams}{1}[/tex] × [tex]\frac{1 kilogram}{1000 grams}[/tex] = 7.389 kilograms
I hope this helped clear things up a bit!
