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(1)

Chapter 10

(2)

OBJECTIVES:

Describe methods of

measuring

the

amount of something.

Define

Avogadro’s number

as it

relates to a mole of a substance.

Distinguish between the

atomic mass

of an element and its

molar mass.

Describe how the mass of a mole of a

(3)

You can measure

mass

,

or

volume

,

or you can

count pieces

.

We measure mass in

grams.

We measure volume in

liters.

(4)

What is the mole?

(5)

 It is an amount, defined as the number of

carbon atoms in exactly 12 grams of carbon-12.

1 mole = 6.02 x 10

23 of the representative

particles.

 6.02 x 1023 is called:

Avogadro’s

number

.

(6)

Pair: 1 pair of shoelaces = 2 shoelaces

Dozen: 1 dozen oranges = 12 oranges

Gross: 1 gross of pencils = 144 pencils

Ream: 1 ream of paper = 500 sheets

(7)

The smallest pieces of a substance:

1)

For a molecular compound: it is the

molecule

.

2)

For an ionic compound: it is the

formula

unit

(made of ions).

3)

For an element: it is the

atom

.

Remember the 7 diatomic elements?

(8)

How many

oxygen atoms

in the

following?

CaCO

3

Al

2

(SO

4

)

3

How many

ions

in the following?

CaCl

2

NaOH

Al

2

(SO

4

)

3

3 atoms of oxygen

(3 x 4)=12 atoms of oxygen

3 total ions (1 Ca2+ ion and 2 Cl1- ions)

2 total ions (1 Na1+ ion and 1 OH1- ion)

5 total ions (2 Al3+ + 3 SO

(9)

How many molecules of CO

2

are in 4.56

moles of CO

2

?

How many moles of water is 5.87 x 10

22

molecules?

How many atoms of carbon are in 1.23

moles of C

6

H

12

O

6

?

How many moles is 7.78 x 10

24

formula

units of MgCl

2

?

2.75 x 1024 molecules

0.0975 mol (or 9.75 x 10-2)

4.44 x 1024 atoms C

(10)

Remember relative atomic mass?

-

The amu was one twelfth the mass

of a carbon-12 atom.

Since the mole is the number of

atoms in 12 grams of carbon-12,

(11)

Equals the mass of 1 mole of an element

in grams (from periodic table)

12.01 grams of C has the same number

of pieces as 1.008 grams of H and 55.85

grams of iron.

We can write this as: 12.01 g C = 1

mole C (this is also the

molar mass

)

(12)

How much would 2.34 moles

of carbon weigh?

How many moles of

magnesium is 24.31 g of Mg?

How many atoms of lithium is

1.00 g of Li?

How much would 3.45 x 10

22

atoms of U weigh?

28.1 grams C

1 mol Mg

8.72 x 1022 atoms Li

(13)

in 1 mole of H

2

O molecules there

are two moles of H atoms and 1

mole of O atoms

(think of a compound as a

molar ratio)

To find the mass of one mole of a

compound

determine the number of moles

of the elements present

Multiply the number times their

mass (from the periodic table)

(14)

Calculate the formula mass of

magnesium carbonate, MgCO

3

.

24.3 g + 12 g + 3 x (16.00 g) =

84.3 g

(15)

How much would 2.34 moles of

carbon weigh?

How many moles of magnesium

is 24.31 g of Mg?

How many atoms of lithium is

1.00 g of Li?

How much would 3.45 x 10

22

(16)

OBJECTIVES:

Describe how to

convert

the

mass of a substance to the

number of moles

of a substance,

and

moles to mass

.

Identify the

volume

of a quantity

(17)

Molar mass

is the generic term

for the mass of one mole of

any

substance

(expressed in

grams/mol

)

The same as:

1) Gram Molecular Mass

(for molecules)

2) Gram Formula Mass

(ionic compounds)

3) Gram Atomic

Mass

(for elements)

molar mass is just a much broader

(18)

The number of grams in 1 mole

of atoms, ions, or molecules, we

can make

conversion factors

from these.

- To change between grams of a

compound and moles of a

(19)

 How many moles is 5.69 g of NaOH?

5 69

. g

(20)

 How many moles is 5.69 g of NaOH?

5 69

. g

mole

g





We need to change 5.69 grams NaOH

(21)

 How many moles is 5.69 g of NaOH?

5 69

. g

mole

g





We need to change 5.69 grams NaOH to moles

(22)

 How many moles is 5.69 g of NaOH?

5 69

. g

mole

g





We need to change 5.69 grams NaOH to moles

(23)

 How many moles is 5.69 g of NaOH?

5 69

. g

1 mole

40.00

g





We need to change 5.69 grams NaOH to moles

(24)

 How many moles is 5.69 g of NaOH?

5 69

. g

1 mole

40.00

g

= 0.142 mol NaOH





We need to change 5.69 grams NaOH to moles

(25)

 Many of the chemicals we deal with are in

the physical state as:

gases

.

- They are difficult to weigh (or mass).

- But, we may still need to know how many moles

of gas we have.

 Two things effect the volume of a gas:

a)Temperature and b) Pressure

 We need to compare all gases at the same

(26)

0ºC and 1 atm pressure

-

is abbreviated “

STP”

At STP, 1 mole of

any gas

occupies a volume of 22.4 L

- Called the

molar volume

This is our fourth equality:

(27)

What is the volume of 4.59 mole of

CO

2

gas at STP?

How many moles is 5.67 L of O

2

at

STP?

What is the volume of 8.8 g of CH

4

gas at STP?

= 103 L

= 0.253 mol

(28)

 D = m / V (density = mass/volume)

- for a gas the units will be: g / L

 We can determine the density of any gas at STP if we know its formula.

 To find the density we need: 1) mass and 2) volume.

 If you assume you have 1 mole, then the mass is the molar mass (from periodic table)

(29)

Find the density of CO

2

at STP.

D = 44g/22.4L = 1.96 g/L

Find the density of CH

4

at STP.

(30)

If given the density, we can find the molar

mass of the gas.

 Again, pretend you have 1 mole at STP,

so V = 22.4 L. modify: D = m/V to show:

 “m” will be the mass of 1 mole, since you have

22.4 L of the stuff.

 What is the molar mass of a gas with a

density of 1.964 g/L?

 How about a density of 2.86 g/L?

= 44.0 g/mol

= 64.0 g/mol

(31)

These four items are all equal:

a) 1 mole

b) molar mass (in grams/mol)

c) 6.02 x 10

23

representative

particles

(atoms, molecules, or formula units)

d) 22.4 L of gas at STP

(32)
(33)

 Sometimes, you will need to use two or

more conversion factors to solve problems.

 How do you know if you will need more

than one conversion factor?

 Neither of your K or W will be in moles.

 How many grams does 5.5x 1024 particles

(34)

 You will need to use multiple conversion

factors in multi-step problems

 CF #1 should convert from your starting unit

to moles

 CF #2 should convert from moles to your

desired end unit

 If you are having trouble deciding which

(35)
(36)

How many grams does

5.5x 10

24

molecules of

water weigh?

K=

W=

CF#1:

(37)

How many grams does

5.5x 10

24

molecules of

water weigh?

K=5.5x10

24

molecules

H

2

O

W= ___ g H

2

O

(38)

What is the volume of

6.5 grams of helium

gas at STP?

K=

W=

CF#1:

(39)

He g 4 He mol 1 He mol 1 He L 22.4

What is the volume of

6.5 grams of helium

gas at STP?

K= 6.5 g He

W= ____ L He

CF#1:

(40)

How many molecules

are in 40 L CO

2

gas?

K=

W=

CF#1:

(41)

CF#1:

CF#2:

2 2 CO L 4 . 22 CO mol 1 2 2 23 CO mol 1 CO molecules 10 6.02

How many molecules

are in 40 L CO

2

gas?

K= 40 L CO

2

(42)

 CF#1 usually has 1 mol on top of the

fraction

 Because you want the answer to the first step

to be in moles.

 CF#2 usually has 1 mol on the bottom

(43)

 Complete practice packet today.

 Keep working on the CH 10 packet from

yesterday

 Also, work on the molar mass worksheet

and the mole conversion worksheet

 Monday: Mole Lab, bring your notebook  Tuesday: Study day, bring questions

 Wednesday: Section 10.1 and 10.2 test

References

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