Measuring Moles & Masses in Chemistry: Avogadro's Number & Formulas, Study notes of Italian

An in-depth explanation of measuring moles and masses in chemistry, including Avogadro's number, conversion factors for moles and particles, and calculating percent composition and empirical formulas. It includes numerous examples and practice problems.

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I. Measuring Matter
•Chemists need a convenient method
for counting accurately the number
of atoms, molecules, or formula units
in a sample of a substance.
• As you know, atoms and molecules
are extremely small. There are so
many of them in even the smallest
sample that it’s impossible to actually
count them.
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Download Measuring Moles & Masses in Chemistry: Avogadro's Number & Formulas and more Study notes Italian in PDF only on Docsity!

I. Measuring Matter

•^

Chemists need a convenient methodfor counting accurately the numberof atoms, molecules, or formula unitsin a sample of a substance.

  • As you know, atoms and molecules are extremely small. There are somany of them in even the smallestsample that it’s impossible to actuallycount them.

I. Measuring Matter

• That’s why chemists created their

own counting unit called themole.

•^

Through years of experimentation, it hasbeen established that a mole of anythingcontains

6.022 136 7 x 10

23

representative

particles.

A. Measuring Moles

  • A representative particle is any kind of particle such as atoms, molecules, formulaunits, electrons, or ions.

•^

The number 6.022 136 7 x 10

23

is called

Avogadro’s number

in honor of the

Italian physicist and lawyer AmedeoAvogadro who, in 1811, determined thevolume of one mole of a gas.

A. Measuring Moles

  • In your textbook, Avogadro’s number will be rounded to three significantfigures— 6.02 x 10

•^

One-mole quantities ofthree substances areshown, each with adifferentrepresentative particle.

A. Measuring Moles

•^

The representativeparticle in a mole ofwater is the watermolecule.

•^

A. Measuring Moles Therepresentativeparticle in amole ofcopper is thecopper atom.

•^

Suppose you want to determine howmany particles of sucrose are in 3.50moles of sucrose. You know that onemole contains 6.02 x 10

23

representative particles.

B. Converting Moles to Particles

-^ Therefore, you can write a conversionfactor, Avogadro’s number, that relatesrepresentative particles to moles of asubstance.

•^

You can find the number ofrepresentative particles in a number ofmoles just as you found the number ofroses in 3.5 dozen.

B. Converting Moles to Particles

-^ For sucrose, the representative particleis a molecule, so the number ofmolecules of sucrose is obtained bymultiplying 3.50 moles of sucrose bythe conversion factor, Avogadro’snumber.

•^

Now, suppose you want to find out howmany moles are represented by a certainnumber of representative particles.

B. Converting Particles to Moles

-^ You can use the inverse of Avogadro’snumber as a conversion factor.

Example: •^ Zinc is used as a corrosion-resistantcoating on iron and steel. It is also anessential trace element in your diet.

B. Converting Particles to Moles

-^ Calculate the number of moles thatcontain 4.50 x 10

24

atoms of zinc (Zn).

•^

The relative scale of atomic massesuses the isotope carbon-12 as thestandard.

II. Mass and the Mole

•^

Each atom of carbon-12 has a mass of12 atomic mass units (amu).

-^ The atomic masses of all otherelements are established relative tocarbon-12.

•^

For example, an atom of hydrogen-1 has amass of 1 amu.

II. Mass and the Mole

•^

The mass of an atom of helium-4 is 4 amu.

-^ Therefore, the mass of one atom ofhydrogen-1 is one-twelfth the mass of oneatom of carbon-12. -^ The mass of one atom of helium-4 is one-third the mass of one atom of carbon-12.

•^

You know that the mole is defined as thenumber of representative particles, orcarbon-12 atoms, in exactly 12 g of purecarbon-12.

II. Mass and the Mole

•^

Thus, the mass of one mole of carbon-12atoms is 12 g. What about other elements?

-^ Whether you are considering a single atomor Avogadro’s number of atoms (a mole),the masses of all atoms are establishedrelative to the mass of carbon-12.

II. Mass and the Mole

•^

The mass in grams of one mole of anypure substance is called its

molar mass

•^

The molar mass of any element isnumerically equal to its atomic mass andhas the units g/mol.