Even with a good word-processing program, having to click on an icon to get a superscript, and then remembering to click off after you type the number can be a real hassle. If we did not know of moles, and instead just knew of numbers of atoms or molecules (big numbers that require lots of superscripts), life would be much more complicated; we would certainly make more typing errors.
- Atoms To Moles Calc
- Atoms To Moles Steps
- Atoms To Moles Calculator
- Atoms To Moles Practice Problems
- Atoms To Moles Converter
The conversion factor between atoms and moles is Avogadro's number: 6.02 x 1023 'things' / molTo convert atoms to moles:moles P= 3.78E+24 atoms P1 mol P = 6.28 mol P6.02 x 1023 atoms. Mole or atom The SI base unit for amount of substance is the mole. 1 mole is equal to 6.0221415E+23 atom. Note that rounding errors may occur, so always check the results.
Conversions Between Moles and Atoms
- Moles and Atoms. As introduced in the previous concept, the mole can be used to relate masses of substances to the quantity of atoms therein. This is an easy way of determining how much of one substance can react with a given amount of another substance.
- Atom or mole The SI base unit for amount of substance is the mole. 1 atom is equal to 1.27E-24 mole. Note that rounding errors may occur, so always check the results.
- Mole is reserved for measuring small units like atoms or molecules. One mole is the Avogadro’s number of particles, which is 6.022×10 23. So converting to moles is relatively easy because the number remains the same. Structure of an Atoms and Moles – Atoms are made of smaller particles called protons, electrons, and neutrons.
Conversions Between Moles and Number of Particles
Using our unit conversion techniques, we can use the mole label to convert back and forth between the number of particles and moles.
Example (PageIndex{1})
The element carbon exists in two primary forms: graphite and diamond. How many moles of carbon atoms is (4.72 times 10^{24}) atoms of carbon?
Solution
Step 1: List the known quantities and plan the problem.
Known
- number of (ce{C}) atoms (= 4.72 times 10^{24})
- (1) mole (= 6.02 times 10^{23}) atoms
Unknown
- (4.72 times 10^{24} = ?) atoms (ce{C})
One conversion factor will allow us to convert from the number of (ce{C}) atoms to moles of (ce{C}) atoms.
Step 2: Calculate.
[4.72 times 10^{24} : text{atoms} : ce{C} times frac{1 : text{mol} : ce{C}}{6.02 times 10^{23} : text{atoms} : ce{C}} = 7.84 : text{mol} : ce{C}]
Step 3: Think about your result.
The given number of carbon atoms was greater than Avogadro's number, so the number of moles of (ce{C}) atoms is greater than 1 mole. Since Avogadro's number is a measured quantity with three significant figures, the result of the calculation is rounded to three significant figures.
Suppose that you want to know how many hydrogen atoms are in a mole of water molecules. First, you need to know the chemical formula for water, which is (ce{H_2O}). There are two atoms of hydrogen in each molecule of water. How many atoms of hydrogen are in two water molecules? There are (2 times 2 = 4) hydrogen atoms. How about in a dozen? In that case, a dozen is 12; so (12 times 2 = 24) hydrogen atoms in a dozen water molecules. To get the answers (4 and 24), you multiply the given number of molecules by two atoms of hydrogen per molecule. So, to find the number of hydrogen atoms in a mole of water molecules, the problem can be solved using conversion factors:
[1 : text{mol} : ce{H_2O} times frac{6.02 times 10^{23} : text{molecules} : ce{H_2O}}{1 : text{mol} : ce{H_2O}} times frac{2 : text{atoms} : ce{H}}{1 : text{molecule} : ce{H_2O}} = 1.20 times 10^{24} : text{atoms} : ce{H}]
The first conversion factor converts from moles of particles to the number of particles. The second conversion factor reflects the number of atoms contained within each molecule.
Example (PageIndex{2})
Sulfuric acid has the chemical formula (ce{H_2SO_4}). A certain quantity of sulfuric acid contains (4.89 times 10^{25}) atoms of oxygen. How many moles of sulfuric acid is the sample?
Solution:
Step 1: List the known quantities and plan the problem.
Known
- (4.89 times 10^{25} = ce{O}) atoms
- (1) mole (= 6.02 times 10^{23}) molecules (ce{H_2SO_4})
Unknown
Atoms To Moles Calc
- (text{mol}) of (ce{H_2SO_4}) molecules
Two conversion factors will be used. First, convert atoms of oxygen to molecules of sulfuric acid. Then, convert molecules of sulfuric acid to moles of sulfuric acid.
Atoms To Moles Steps
Step 2: Calculate.
[4.89 times 10^{25} : text{atoms} : ce{O} times frac{1 : text{molecule} : ce{H_2SO_4}}{4 : text{atoms} : ce{O}} times frac{1 : text{mol} : ce{H_2SO_4}}{6.02 times 10^{23} : text{molecules} : ce{H_2SO_4}} = 20. : text{mol} : ce{H_2SO_4}]
Step 3: Think about your result.
The original number of oxygen atoms was about 80 times larger than Avogadro's number. Since each sulfuric acid molecule contains 4 oxgyen atoms, there are about 20 moles of sulfuric acid molecules.
Atoms To Moles Calculator
Summary
Atoms To Moles Practice Problems
- Methods are described for conversions between moles, atoms, and molecules.
Contributors and Attributions
Atoms To Moles Converter
CK-12 Foundation by Sharon Bewick, Richard Parsons, Therese Forsythe, Shonna Robinson, and Jean Dupon.