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Unit 4
The Mole
Unit 4
Measuring Matter
Warm-Up
Identify  terms we
 use everyday that
 describe a quantity.
 (at least 3)
Warm-Up
What is the common
 meaning of a mole?
What is the scientific
 meaning of a mole?
Do you ask for 12? Do you ask for 24?
OR do you ask for a DOZEN???
   Counting particles
 Much     easier for the
 product we are buying
 if it is sold in UNITS.
The Mole is…
Abbreviated    mol
SI unit, used to measure the
 amount of a substance
Defined as the number of
 carbon atoms in exactly 12 g of
 pure carbon-12
Common meaning
                        Scientific meaning
A small burrowing      An SI base unit used to
animal.                measure the quantity of
                       matter.
The damage to the
lawn was caused by a   The chemist measured out a
mole.                  mole of the compound.
Avogadro’s Number
 Thenumber
 6.0221367 x 10 23


 Avogadro  was a
 Italian physicist.
Avogadro’s Number



Avogadro's    number is rounded to
 three significant figures.

Is
  used to measure extremely small
 particle such as atoms.
Converting between Moles
and Particles
Suppose  you buy 3 ½ dozen of roses
 and you want to know how many
 roses you have.

Example Calculation (Work problem out)

Describe how you can tell if the wrong
conversion factors has been used.
Moles to particles



How many particles are
in 3.50 mol of sucrose?
Reinforcement Problems
1.   Zinc (Zn) is used to form a corrosion-
     inhibiting surface on galvanized steel.
     Determine the number of Zinc atoms in
     2.50 mol Zn?
2.   Calculate the number of molecules in
     11.5 mol of water (H2O).
3.   Challenge Calculate the number of
     oxygen atom in 5.0 mol of oxygen
     molecules. Oxygen is a diatomic
     molecule O2
Particles to Moles
 Youcan convert between moles and
 number of representative particles by
 multiplying the known quantity by the
 proper conversion factor.
Reinforcement
How many moles are in
each of the following?
   a. 5.75 x 1024 atoms Al
   b. 2.50 x 1024 atoms Fe
Unit 4
Measuring   matter worksheet
Unit 4
Mass and the Mole
Calculate the number of
 molecules in 5.67 mol of water
 (H2O).
Mass and the Mole
Amole always contain the same
number of particles; however, moles
of different substances have different
masses.
Real world application
  Youwould not expect a dozen limes to
   have the same mass as a dozen eggs.




                    WHY?
Eggs and Limes differ in size and composition.
 One mole quantities has different masses for
            the same reasons.
Molar Mass

The atomic weight of and
  element expressed in
 grams is the mass of one
  mole of that element.
       Unit g/mol
Apply
  What of the mass of one
    mole of copper?

         63.546 g
Using molar mass-
Real World Application
 Imagine that we buy jelly beans
 bulk, and sell them by the dozen.
 We soon realize that counting out a
 dozen or 10 dozen every time
 someone orders some is to much
 work, What can we do instead?
Using molar mass-
 Real World Application
 The   mass of…

1 dozen Jelly Beans = 35 g of Jelly Beans

Conversion Factors= ??
Using molar mass-
Real World Application
  What mass of Jelly beans
    would you measure if a
  customer want 5 dozen jelly
           beans?

           175 g Jelly beans
Moles to Mass
Suppose  you need to measure
 out 3.00 mol of copper (Cu).

Howwould you measure that
 amount? 191 g Cu

           Suppose you want to go
           grams back to moles?
Mole-to-Mass Conversion
1.    Determine the mass in grams of each of
      the following.
     a. 3.57 mol Al
     b. 42.6 mol Si


2. Challenge Convert each given quantity
in scientific notation to mass in grams
expressed in scientific notation.
      a. 3.45 x 102 mol Co
      b. 2.45 x 10-2 mol Zn
Mass-to-Mole

 1.   Determine the number of moles in each
      of the following.
         a. 25.5 g Ag
         b. 300.0 g S
Unit 4
Mass and the Mole
Mass-to-atoms
Converting between mass and atoms

 Back to the jellybean
  example… at the end of the
  day you have 550 g of jelly
  beans left over, how many jelly
  beans is that?

 Remember 35 g= 1 dozen
Steps to follow
1.   grams of jelly
     beans 
     dozens of jelly
     beans

2.   Dozens of jelly
     beans  # of
     jelly beans
Reinforcement
Mass to atoms/ Atoms to
     mass Worksheet
Unit 4
Re-cap
Activity
    Ona blank sheet of
  computer paper design a
 concept map, outlining the
 conversion between mass,
    moles, and particles
Warm-Up
Calculate  the mass of
 0.25 mol of carbon-12
Unit 4
Moles of a compound
Chemical Formulas & The MOLE
   Chemical formula=indicates the
    number and types of atoms
    contained in one unit of the
    compound.
Interpret
How   many of each kind of
 atom- carbon, chlorine, and
 fluorine-are contained in 1 mol
 of CCl2F2 ?

C=1
Cl=2
F=2
Interpret
 How many moles of F are in
 5.50 of freon (CCl2F2 ) ?




11.0 mol F atoms
Molar mass of Compounds
Calculate   the molar mass of K2CrO4.

                         194.20 g
Reinforcement
1.  Determine the molar mass of each ionic
    compound.
      a. NaOH
      b. CaCl2
      c. KC2H3O2
2. Calculate the molar mass of each
molecular compound.
      a. C2H5OH
      b. HCN
Converting Moles to mass
   How many grams of F
   are in 11.0 mol F ?
Conversion Factors
 Conversion   factors map
Unit 4
Measuring matter Lab
Warm-Up
Suppose   a student measured out
 8.91 g of Al2O3 Aluminum oxide…
 (answer the following)
 Molar mass of Al2O3
 Moles of compound
 Moles of each element
 Atoms of each element
Warm-Up
 Suppose a student measured out 81.2
 g of CaCO3 Calcium Carbonate…
 (answer the following)
  Molar mass of
  Moles of compound
  Moles of each element
  Atoms of each element
Warm-Up
Suppose   a student measured out
 81.2 g of CaCO3 Calcium
 Carbonate… (answer the
 following)
 Molar mass of
 Moles of compound
 Moles of each element
Measuring Matter Lab
Safety-goggles, gloves
Proper use of equipment
Procedure
Expectation –Clean Lab
 area
Questions?
After Lab
Complete   analysis
Work on review/homework
 packet
Study for Quiz
Unit 4
Chalk Lab
Warm-Up
Find the molar mass
 of calcium
 carbonate (CaCO3)
Lab Expectations
Findthe following…
 How many moles of chalk
 How many mole of Ca… How many
  atoms
 How many moles of C… How many
  atoms
 How many moles of O… How many
  atoms
Lab Procedure
Find mass before-record
Find mass after-record
Find molar mass
Determine the number
 of mole required
Unit 4
Mole & the volume
Warm-Up
How much does 4.2
 moles of Ca(NO3)2
 weigh?
Quiz
Unit 4
Mole & the volume
Moles to Volume
In the calculations, some questions
 should use conversions more than
 once; however, mole is in the center
 , because all conversions between
 mass, particles and volume should
 be converted to moles at first.
Moles and volume
Unit 4
Empirical and Molecular
formulas
Real World Application
 You might have noticed that some food
 containers contain two or more serving
 instead of the single serving you would
 expect. How would you determine the
 total number of calories contained in the
 package?
Real World Application
 What   do you do??
Percent by mass
Percent  by mass: the ratio of
 the mass of each element to
 the total mass of compound
 expressed as a percent.
Percent Composition
Percent by mass (element) =

                  mass of element
                 -------------------------- X100 =
                 mass of compound
Sample Problem
 You have a 100g sample of a compound
 that contain 55 g of element X and 45g of
 element Y.



 The   compound is 55% X and 45% Y
The percent composition from
      the Chemical Formula

Percent by mass=
            mass of element in 1 mol of compound
 -------------------------------------------------------------------- X 100
           molar mass of compound
Unit 4
Empirical formula from mass
composition
Empirical formula
 ISTHE FORMULA WITH THE SMALLEST
  WHOLE-NUMBER MOLE RATIO OF THE
  ELEMENTS.
 The empirical formula might or might not
  be the same as the actual molecular
  formula, of different the molecular
  formula will be a simple multiple of the
  empirical formula.
Empirical formula
For example:
Hydrogen peroxide

Empirical formula= HO
Molecular formula= H2O2
How do you find empirical
formula?
 Percent
        composition or masses of the
 elements in a given mass of compound
List the steps needed to calculate
the empirical formula from
percent composition data…
1.   Assume that the total mass of the
     compound is 100.00 g the percent by
     mass of each element is equal to the
     mass of each element in grams
2.   Convert the mass of each element to
     moles using the molar mass as a
     conversion factor.
List the steps needed to calculate
the empirical formula from
percent composition data…
3. Divide each molar amount by the
     smallest mole value
4. If needed multiply each by an interger to
     determine the smallest whole-number
     ratio
5. Write the empirical formula using the
     smallest whole-number ratio.
Reinforcement
 Empiricalformula from percent composition
 Methyl acetate is a solvent commonly used in
 some paints, inks, and adhesives. Determine the
 empirical formula for methyl acetate, which has
 the following chemical analysis:

 48.64% carbon
 8.16% hydrogen
 43.20% Oxygen
1.   Assume that each percent by mass represents
     the mass of the element in 100g sample, the
     percent sign CAN BE REPLACED WITH
     GRAMs(g).
2.   Convert each mass to moles using conversion
     factors (inverse molar mass- that relates moles
     to grams)
3.   Calculate the simplest ratio of moles of
     elements by dividing the moles of each
     element by the SMALLEST value in the
     calculated mole ratio.
4.   Multiply each number in the ratio by the
     SMALLEST number
Reinforcement
 Empiricalformula from percent composition
 Methyl acetate is a solvent commonly used in
 some paints, inks, and adhesives. Determine the
 empirical formula for methyl acetate, which has
 the following chemical analysis:

 48.64% carbon
 8.16% hydrogen
 43.20% Oxygen
Unit 4
Molecular formula
Molecular formula
 Specifiesthe actual number of atoms of
 each element in one molecular formula
 unit of the substance

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Unit 4 cp the molef

  • 3. Warm-Up Identify terms we use everyday that describe a quantity. (at least 3)
  • 4. Warm-Up What is the common meaning of a mole? What is the scientific meaning of a mole?
  • 5. Do you ask for 12? Do you ask for 24? OR do you ask for a DOZEN??? Counting particles
  • 6.  Much easier for the product we are buying if it is sold in UNITS.
  • 7. The Mole is… Abbreviated mol SI unit, used to measure the amount of a substance Defined as the number of carbon atoms in exactly 12 g of pure carbon-12
  • 8. Common meaning Scientific meaning A small burrowing An SI base unit used to animal. measure the quantity of matter. The damage to the lawn was caused by a The chemist measured out a mole. mole of the compound.
  • 9. Avogadro’s Number  Thenumber 6.0221367 x 10 23  Avogadro was a Italian physicist.
  • 10. Avogadro’s Number Avogadro's number is rounded to three significant figures. Is used to measure extremely small particle such as atoms.
  • 11. Converting between Moles and Particles Suppose you buy 3 ½ dozen of roses and you want to know how many roses you have. Example Calculation (Work problem out) Describe how you can tell if the wrong conversion factors has been used.
  • 12. Moles to particles How many particles are in 3.50 mol of sucrose?
  • 13. Reinforcement Problems 1. Zinc (Zn) is used to form a corrosion- inhibiting surface on galvanized steel. Determine the number of Zinc atoms in 2.50 mol Zn? 2. Calculate the number of molecules in 11.5 mol of water (H2O). 3. Challenge Calculate the number of oxygen atom in 5.0 mol of oxygen molecules. Oxygen is a diatomic molecule O2
  • 14. Particles to Moles  Youcan convert between moles and number of representative particles by multiplying the known quantity by the proper conversion factor.
  • 15. Reinforcement How many moles are in each of the following? a. 5.75 x 1024 atoms Al b. 2.50 x 1024 atoms Fe
  • 16. Unit 4 Measuring matter worksheet
  • 17. Unit 4 Mass and the Mole
  • 18. Calculate the number of molecules in 5.67 mol of water (H2O).
  • 19. Mass and the Mole Amole always contain the same number of particles; however, moles of different substances have different masses.
  • 20. Real world application  Youwould not expect a dozen limes to have the same mass as a dozen eggs. WHY? Eggs and Limes differ in size and composition. One mole quantities has different masses for the same reasons.
  • 21. Molar Mass The atomic weight of and element expressed in grams is the mass of one mole of that element. Unit g/mol
  • 22. Apply What of the mass of one mole of copper? 63.546 g
  • 23. Using molar mass- Real World Application  Imagine that we buy jelly beans bulk, and sell them by the dozen. We soon realize that counting out a dozen or 10 dozen every time someone orders some is to much work, What can we do instead?
  • 24. Using molar mass- Real World Application  The mass of… 1 dozen Jelly Beans = 35 g of Jelly Beans Conversion Factors= ??
  • 25. Using molar mass- Real World Application What mass of Jelly beans would you measure if a customer want 5 dozen jelly beans? 175 g Jelly beans
  • 26. Moles to Mass Suppose you need to measure out 3.00 mol of copper (Cu). Howwould you measure that amount? 191 g Cu Suppose you want to go grams back to moles?
  • 27. Mole-to-Mass Conversion 1. Determine the mass in grams of each of the following. a. 3.57 mol Al b. 42.6 mol Si 2. Challenge Convert each given quantity in scientific notation to mass in grams expressed in scientific notation. a. 3.45 x 102 mol Co b. 2.45 x 10-2 mol Zn
  • 28. Mass-to-Mole 1. Determine the number of moles in each of the following. a. 25.5 g Ag b. 300.0 g S
  • 29. Unit 4 Mass and the Mole Mass-to-atoms
  • 30. Converting between mass and atoms Back to the jellybean example… at the end of the day you have 550 g of jelly beans left over, how many jelly beans is that? Remember 35 g= 1 dozen
  • 31. Steps to follow 1. grams of jelly beans  dozens of jelly beans 2. Dozens of jelly beans  # of jelly beans
  • 32. Reinforcement Mass to atoms/ Atoms to mass Worksheet
  • 34. Activity Ona blank sheet of computer paper design a concept map, outlining the conversion between mass, moles, and particles
  • 35.
  • 36. Warm-Up Calculate the mass of 0.25 mol of carbon-12
  • 37. Unit 4 Moles of a compound
  • 38.
  • 39. Chemical Formulas & The MOLE  Chemical formula=indicates the number and types of atoms contained in one unit of the compound.
  • 40. Interpret How many of each kind of atom- carbon, chlorine, and fluorine-are contained in 1 mol of CCl2F2 ? C=1 Cl=2 F=2
  • 41. Interpret  How many moles of F are in 5.50 of freon (CCl2F2 ) ? 11.0 mol F atoms
  • 42. Molar mass of Compounds Calculate the molar mass of K2CrO4. 194.20 g
  • 43. Reinforcement 1. Determine the molar mass of each ionic compound. a. NaOH b. CaCl2 c. KC2H3O2 2. Calculate the molar mass of each molecular compound. a. C2H5OH b. HCN
  • 44. Converting Moles to mass  How many grams of F are in 11.0 mol F ?
  • 47. Warm-Up Suppose a student measured out 8.91 g of Al2O3 Aluminum oxide… (answer the following) Molar mass of Al2O3 Moles of compound Moles of each element Atoms of each element
  • 48. Warm-Up  Suppose a student measured out 81.2 g of CaCO3 Calcium Carbonate… (answer the following)  Molar mass of  Moles of compound  Moles of each element  Atoms of each element
  • 49. Warm-Up Suppose a student measured out 81.2 g of CaCO3 Calcium Carbonate… (answer the following) Molar mass of Moles of compound Moles of each element
  • 50. Measuring Matter Lab Safety-goggles, gloves Proper use of equipment Procedure Expectation –Clean Lab area Questions?
  • 51. After Lab Complete analysis Work on review/homework packet Study for Quiz
  • 53. Warm-Up Find the molar mass of calcium carbonate (CaCO3)
  • 54. Lab Expectations Findthe following… How many moles of chalk How many mole of Ca… How many atoms How many moles of C… How many atoms How many moles of O… How many atoms
  • 55. Lab Procedure Find mass before-record Find mass after-record Find molar mass Determine the number of mole required
  • 56. Unit 4 Mole & the volume
  • 57. Warm-Up How much does 4.2 moles of Ca(NO3)2 weigh?
  • 58. Quiz
  • 59. Unit 4 Mole & the volume
  • 60. Moles to Volume In the calculations, some questions should use conversions more than once; however, mole is in the center , because all conversions between mass, particles and volume should be converted to moles at first.
  • 61.
  • 63. Unit 4 Empirical and Molecular formulas
  • 64. Real World Application  You might have noticed that some food containers contain two or more serving instead of the single serving you would expect. How would you determine the total number of calories contained in the package?
  • 65.
  • 66. Real World Application  What do you do??
  • 67. Percent by mass Percent by mass: the ratio of the mass of each element to the total mass of compound expressed as a percent.
  • 68.
  • 69. Percent Composition Percent by mass (element) = mass of element -------------------------- X100 = mass of compound
  • 70. Sample Problem  You have a 100g sample of a compound that contain 55 g of element X and 45g of element Y.  The compound is 55% X and 45% Y
  • 71. The percent composition from the Chemical Formula Percent by mass= mass of element in 1 mol of compound -------------------------------------------------------------------- X 100 molar mass of compound
  • 72. Unit 4 Empirical formula from mass composition
  • 73. Empirical formula  ISTHE FORMULA WITH THE SMALLEST WHOLE-NUMBER MOLE RATIO OF THE ELEMENTS.  The empirical formula might or might not be the same as the actual molecular formula, of different the molecular formula will be a simple multiple of the empirical formula.
  • 74. Empirical formula For example: Hydrogen peroxide Empirical formula= HO Molecular formula= H2O2
  • 75. How do you find empirical formula?  Percent composition or masses of the elements in a given mass of compound
  • 76. List the steps needed to calculate the empirical formula from percent composition data… 1. Assume that the total mass of the compound is 100.00 g the percent by mass of each element is equal to the mass of each element in grams 2. Convert the mass of each element to moles using the molar mass as a conversion factor.
  • 77. List the steps needed to calculate the empirical formula from percent composition data… 3. Divide each molar amount by the smallest mole value 4. If needed multiply each by an interger to determine the smallest whole-number ratio 5. Write the empirical formula using the smallest whole-number ratio.
  • 78. Reinforcement  Empiricalformula from percent composition Methyl acetate is a solvent commonly used in some paints, inks, and adhesives. Determine the empirical formula for methyl acetate, which has the following chemical analysis:  48.64% carbon  8.16% hydrogen  43.20% Oxygen
  • 79. 1. Assume that each percent by mass represents the mass of the element in 100g sample, the percent sign CAN BE REPLACED WITH GRAMs(g). 2. Convert each mass to moles using conversion factors (inverse molar mass- that relates moles to grams) 3. Calculate the simplest ratio of moles of elements by dividing the moles of each element by the SMALLEST value in the calculated mole ratio. 4. Multiply each number in the ratio by the SMALLEST number
  • 80. Reinforcement  Empiricalformula from percent composition Methyl acetate is a solvent commonly used in some paints, inks, and adhesives. Determine the empirical formula for methyl acetate, which has the following chemical analysis:  48.64% carbon  8.16% hydrogen  43.20% Oxygen
  • 82. Molecular formula  Specifiesthe actual number of atoms of each element in one molecular formula unit of the substance