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How many is that?. 1 Couple of. kittens. How many is that?. 1 dozen. 12. meatballs. How many is that?. 1 gross of. 144. pencils. How many is that?. 1 mole of. 602,200,000,000,000,000,000,000. stars. 1 mole = . 602,200,000,000,000,000,000,000 It’s just this huge number .

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how many is that
How many is that?

1 Couple of

kittens

how many is that1
How many is that?

1 dozen

12

meatballs

how many is that2
How many is that?

1 gross of

144

pencils

how many is that3
How many is that?

1 mole of

602,200,000,000,000,000,000,000

stars

1 mole
1 mole =

602,200,000,000,000,000,000,000

It’s just this huge number.

slide9

The Mole !

602,200,000,000,000,000,000,000

6.022 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10

= 6.022 x 1023

avogadro s number
Avogadro’s Number

6.022 x 1023 = “Avogadro’s Number”.

TOTES! They named a number after me!

So basically you can have a “mole” of anything…

AmadeoAvogadro(1776-1855)

moles
moles

1 mole stuff

6.022x1023 things

# grams

1 mole those things

6.022x1023 calcium atoms

1 mole calcium atoms

what s the mass of
What’s the mass of …
  • 1 dozen kittens? (1 kitten weighs 3.0 lbs)

1 dozen

3.0 lbs

12 kittens

36 lbs

1 dozen

1 kitten

what s the mass of1
What’s the mass of …
  • 6 dozen meatballs?

(1 meatball weighs 35.0 grams)

6 dozen

35.0 grams

12 meatballs

2520 grams

1 dozen

1 meatball

what s the mass of2
What’s the mass of …
  • 3 gross pencils?

(1 pencil weighs 15.0 grams)

3 gross

15.0 grams

144 pencils

6480 grams

1 gross

1 pencil

what s the mass of3
What’s the mass of …
  • 1.93 x 109 ants?

(1 ant weighs .052 grams)

.052 grams

1.93 x 109ants

1 ant

what s the mass of4
What’s the mass of …
  • 1.6 moles of ants?

(1 ant weighs .052 grams)

1.6 moles

.052 grams

6.022x1023 ants

1 mole

1 ant

what s the mass of a mole
What’s the mass of a mole???

Depends...

If it’s a mole of Carbon atoms, it’s easier than that!

12.01 grams / 1 mole C

super important concept
SUPER IMPORTANT CONCEPT!

Molar Mass = the mass (in grams) of 1 mole (6.022 x 1023) of anything

  • Finding the molar mass of an element is pretty easy!
        • Take it’s atomic mass and make the units
    • “X grams/1 mole of Xatoms”

Try it: Molar mass of Lithium?

Helium?

Iron?

6.94 grams/1 mole Li atoms

4.00 grams/1 mole He atoms

55.85 grams/1 mole Fe atoms

calculations with moles converting moles to grams
Calculations with Moles:Converting moles to grams

How many grams of lithium are in 3.50 moles of lithium?

3.50 mol Li

6.94 g Li

= g Li

24.29

1 mol Li

calculations with moles converting grams to moles
Calculations with Moles:Converting grams to moles

How many moles of lithium are in 18.2 grams of lithium?

18.2 g Li

1 mol Li

= mol Li

2.62

6.94 g Li

calculations with moles using avogadro s number
Calculations with Moles:Using Avogadro’s Number

How many atoms of lithium are in 3.50 moles of lithium?

6.02 x 1023atoms

3.50 mol

= atoms

2.11 x 1024

1 mol

calculations with moles using avogadro s number1
Calculations with Moles:Using Avogadro’s Number

How many atoms of lithium are in 18.2 g of

lithium?

18.2 g Li

6.022 x 1023 atoms Li

1 mol Li

6.94 g Li

1 mol Li

(18.2)(6.022 x 1023)/6.94

1.58 x 1024

= atoms Li

you try it
You try it!

If you had 107.92 grams of Aluminum foil, how many moles of Aluminum are there?

= moles Al atoms

you try it1
You try it!

If you had 3.011 x 1023 atoms of Calcium, how many grams of Calcium are there?

= grams Ca

what about for compounds you ask
What about for compounds, you ask???

Since a compound is more than one atom bonded, just add the masses of all the atoms there

Example: Carbon Dioxide (CO2)

12.01 g + 2(16.00 g) =

44.01 g

One mole of CO2 (6.02 x 1023 molecules) has a mass of 44.01 grams

you try it2
You try it!

1 mole of NaCl would weigh exactly how many grams?

= grams NaCl

6 moles of NaCl would weigh exactly how many grams?

= grams NaCl

you try it3
You try it!

How many grams of Dihydrogen Monoxide are in 6.022 x 1023 molecules of Dihydrogen Monoxide?

= grams H2O

standard molar volume
Standard Molar Volume

Equal volumes of all gases at the same temperature and pressure contain the same number of molecules.

-Amedeo Avogadro

At STP (Standard Temperature and Pressure):

Standard Temperature = 0˚ C

Standard Pressure = 1 atmosphere

Under these conditions…

1 mole of a gas occupies 22.4 liters of volume

calculations with moles using standard molar volume
Calculations with Moles:Using Standard Molar Volume

How many molesof hydrogen are in 100. L of hydrogen at STP?

1 mol

100 L

= mol

4.46

22.4 L

calculations with moles using standard molar volume1
Calculations with Moles:Using Standard Molar Volume

How many liters are occupied by 3.0 moles of oxygen gas at STP?

22.4 L

3.0 mol

= L

67

1 mol

you try it4
You try it!

16 moles of Cl2 gas would occupy how many liters?

= L Cl2

16 moles of Cl2 gas would have a mass of how many grams?

= grams Cl2

do it all at once
Do it all at once!

35 grams of carbon tetrafluoride gas would occupy how many liters?

35 g

1 mol CF4

22.4 L

= L CF4

8.9

88.01 g

1 mol

you try it5
You try it!

1373 grams of N2 gas at STP would occupy how many liters?

…………………………………………………..= L N2

mole relationships

Atoms

or molecules

Liters

Mole Relationships

22.4

L

22. 4 L

6.02 x 1023

Mole

Atomic

Mass

Grams