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Chapter 10

Chemical Quantities

10.1 The Mole: A Measurement of Matter

10.2 Mole-Mass and Mole-Volume Relationships

10.3 Percent Composition and Chemical Formulas

How can you quantify the amount of sand in a sand sculpture?

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CHEMISTRY & YOU

You could measure the amount of sand in a sculpture by counting the grains of sand. Is there an easier way to measure the amount of sand?

There are terms used to equate a certain quantity of matter

o For example 1 dozen = 12, 1 Ton = 2,000 LBs and 1 gross = 144.

Before we get to the chemical terms lets convert between units we already know

Chemical Quantities

For example – let’s say you want to buy some Bazooka Gum o You could buy it by the piece from the deli o You could buy it by the box from ShopRite o You could buy it by mass from the candy

store

Based on those conversions, I can determine how much Bazooka gum I have, regardless of how it is measured. I have 95 pieces of Bazooka gum, how

many grams do I have?

I have 95 pieces of Bazooka gum, how many grams to I have?

If I have 2 stadiums how many baseball bats do I want to purchase?

• 2 baseball players = 4 baseball bats• 1 stadium = 18 baseball players• 18 baseball players = 52 corn dogs

Do-Now

What Is a Mole?

◦How do chemists count the number of atoms, molecules, or formula units in a substance?

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What Is a Mole?

• These particles are much, much smaller than grains of sand, and an extremely large number of them are in a small sample of a substance.

• Obviously, counting particles one by one is not practical.

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What Is a Mole?

Recall that matter is composed of atoms, molecules, and ions.

In chemistry, there are many way to measure the amount of substanceo The count (quantity)o The volume (how much space it takes up) o The mass (the amount of matter)

Knowing how the count, mass, and volume of an item relate to a common unit allows you to convert among these units.

Chemical Quantities

In chemistry, we do not use a dozen. o Since atoms are so small, we need a

quantity with a larger amount

We use the mole (mol) o 1 mole = 6.022 X 1023 representative

particles (atoms, molecules, formula units) o It is known as Avogadro’s number

An Italian chemist whose important contributions was his resolution of the confusion surrounding atoms and molecules. Avogadro believed that particles could be composed of molecules and that molecules could be composed of still simpler units, atoms. The number of molecules in a mole (one gram molecular weight) was termed Avogadro's number

Amedeo Avogadro

We usually are dealing with three types of representative particles o Molecules

H2O and H2 are molecules, covalently bonded

o Atoms Al and Na are atoms, not bonded

o Formula units CaCl2 and NaOH are formula units, ionicly

bonded

1 mole of any representative particle is always 6.02 X 1023

Using this value we can convert between moles and atoms/ molecules/ formula units

For example: If a sample contains 0.476 mol of O2, how many representative particles are present?

For example: If a sample contains 5.2 X 1021 atoms of aluminum, how many moles are present?

Magnesium is a light metal used in the manufacture of aircraft, automobile wheels, and tools. How many moles of magnesium is 1.25 × 1023 atoms of magnesium?

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Sample Problem 10.2

Converting Number of Atoms to Moles

We can determine the molar mass of representative particles o Molar mass is the mass of 1 mole of that

substance

The atomic mass is equal to the molar mass for an element o 1 mol Na = 22.99 g Na

For molecules and formula units, we must calculate the molar mass

Let’s calculate the molar mass of SO3

S = 1 X 32.07 = 32.07 O = 3 X 16.00 = 48.00

= 80.07 g/mol

We can use the molar mass of a substance to convert from moles to mass

o Remember the molar mass is the mass of 1 mole of that substance

o SO3 = 80.07 g/mol = 80.07 g SO3

1 mol SO3

Using this relationship, we can easily convert a mole amount to a mass amount

How many grams is there in a 0.750 mole sample of SO3?

We can also convert a mass amount to a mole amount

How many moles is there in a 28.5 gram sample of SO3?

◦ The mole allows chemists to count the number of representative particles in a substance.

◦ The atomic mass of an element expressed in grams is the mass of a mole of the element.

◦ To calculate the molar mass of a compound, find the number of grams of each element in one mole of the compound. Then add the masses of the elements in the compound.

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Key Concepts

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