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.
A mole of water molecules contains 2 moles of hydrogen atoms and 1 mole of oxygen atoms. 2 Sulfuric acid has the chemical formula H 2 SO 4. A certain quantity of sulfuric acid contains 4.89 × 10 25 atoms of oxygen. Formula: Mole = Atom. 6.0221415E+23 Atom = Mole / 6.0221415E+23 where, Atom = Number of atoms 1 Mole = 6.0221415E+23 Atom Related Calculator.
Conversions Between Moles and Atoms
Moles, Atoms, Molecules What is a Mole? Converting Between Moles, Atoms, and Molecules Examples: How many atoms in 5.5 moles? How many moles is 4.6 x 10 24 sulfur atoms? How to convert between moles and the number of atoms or molecules using a common sense approach, and a standard conversion factor method? 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. This chemistry video tutorial explains the conversion process of moles to atoms and how to convert the number of atoms to moles. This tutorial contains plen.
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
- (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.
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.
Summary
- Methods are described for conversions between moles, atoms, and molecules.
Contributors and Attributions
CK-12 Foundation by Sharon Bewick, Richard Parsons, Therese Forsythe, Shonna Robinson, and Jean Dupon.
››Convert atom to mole
Please enable Javascript to usethe unit converter.
Note you can turn off most ads here:
https://www.convertunits.com/contact/remove-some-ads.php
››More information from the unit converter
How many atoms in 1 moles?The answer is 6.0221415E+23.
We assume you are converting between atom and mole.
You can view more details on each measurement unit:
atoms ormoles
The SI base unit for amount of substance is the mole.
1 atoms is equal to 1.660538863127E-24 mole.
Note that rounding errors may occur, so always check the results.
Use this page to learn how to convert between atoms and moles.
Type in your own numbers in the form to convert the units!
››Want other units?
You can do the reverse unit conversion frommoles to atoms, or enter any two units below:
››Common amount of substance conversions
atoms to micromol
atoms to decimol
atoms to kilomol
atoms to picomol
atoms to molecule
atoms to millimol
atoms to nanomol
atoms to centimol
››Definition: Atom
Atoms To Moles Converter
This site uses an exact value of 6.0221415 x 1023 for Avogadro's number. This is the number of atoms in 1 mole of a chemical element.
Atoms To Moles Na
››Definition: Mole
The mole is the amount of substance of a system which contains as many elementary entities as there are atoms in 0.012 kilogram of carbon 12; its symbol is 'mol.'
Atoms To Moles Of Carbon
››Metric conversions and more
Atoms To Moles Equation Chemistry
ConvertUnits.com provides an onlineconversion calculator for all types of measurement units.You can find metric conversion tables for SI units, as wellas English units, currency, and other data. Type in unitsymbols, abbreviations, or full names for units of length,area, mass, pressure, and other types. Examples include mm,inch, 100 kg, US fluid ounce, 6'3', 10 stone 4, cubic cm,metres squared, grams, moles, feet per second, and many more!