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Chemistry - Moles
A Demonstration to describe the
concept of moles more briefly.
Part 1: Chemical
Quantities
Introduction
● How did you determine the number of M&Ms in
the bag without actually counting?
Atoms
● Can you determine
the number of atoms
of an element even
though you can not
actually count them?
● Yes… IF there is a
conversion factor that
allows you to convert
between mass and
number of atoms.
Moles
● The SI base unit that
measures amount of
substance
● Avogadro’s Number:
6.02 x 1023
atoms
Moles and Atomic Mass
● The atomic mass of an element
in grams contains one mole of
atoms (Avogadro’s number of
atoms)
● Example: There are 6.02 x
1023
(or 1.0 moles) of atoms in
12.011 g of carbon
Moles as Conversion Factors
● Use moles/grams (or grams/moles) as a
conversion factor
● Ex: 16.0 g oxygen
-----------------------------
1 mole oxygen
Example 1
● How many moles of helium atoms are in
6.8 grams?
Example 2
● How many grams is equal to 1.51 moles of
iron?
Examples 3, 4, and 5
● 17.6 grams of chlorine is equal to how
many moles?
● How many moles of nickel do you have if
you have 65.1 g?
● React 1.9 moles of sodium with chlorine
gas to get sodium chloride. How many
grams of sodium do you need?
Calculating Molar Mass
● Atomic Mass of an element = “molar mass”
● Molar mass of a compound must be
calculated
Calculating Molar Mass
● How many oxygens are in a
DOZEN water molecules?
● How many hydrogens?
Calculating Molar Mass
● One mole of WATER
MOLECULES (H2
O)
is one mole of oxygen
atoms and two moles
of hydrogen atoms
● Calculate the mass of
one mole of water
molecules
Calculate the molar mass of…
● Boron Trifluoride
● Sodium Iodide
● Sodium Bicarbonate (NaHCO3
)
● Glucose (C6
H12
O6
)
● Copper (III) Sulfate
REMEMBER!
● Molar mass is the mass of one mole of an
element/compound.
● Molar mass has units of grams/mole.
● Molar mass can be used as a conversion
factor to find grams or find moles.
What you should know so far:
●Explain the concept of a “mole” and give a definition
●Explain how one mole of an element is related to atomic mass
●Find the molar mass of an element (using correct units)
●Determine the number of grams/moles of a given element using
molar mass
●Calculate the molar mass of a compound
●Determine the number of grams/moles of a given compound
using molar mass
Making A Solution
● You want to make a solution
by dissolving 4.00 moles of
potassium nitrate in water.
How many grams of the
compound will you need?
Example!
● Calculate the number
of moles in a 13.8-g
sample of butane
lighter fluid. The
formula for butane is
C4
H10
.
Find the mass of:
●0.702 mol Be.
●2.40 mol N2
.
●0.160 mol H2
O2
.
●5.08 mol NaNO3
.
Find the number
of moles.
●187 g Al
●0.264 g
Li2
HPO4
●333 g SnF2
● How many grams are in 5.66 mol of
CaCO3
?
● How many moles are in 508 grams of
ethanol, CH3
CH2
OH?
Part 2: Moles of a
Gas
Gases
● Solids/liquids are packed
tightly together and more
space is needed if
atoms/molecules are larger
● Atoms/molecules in gases
are far apart, so larger
atoms/molecules do not
need more space
Mole-Volume Relationship
● Avogadro’s Hypothesis –
equal volumes of gases
contain equal numbers of
particles
● 1 mole of any gas takes up
the same volume as long
as…
STP
● …as long as the gases
are at the same
pressures and
temperatures
● STP, or “standard
temperature and
pressure” means 0o
C
and 1 atmosphere, which
is air pressure at sea
level
Calculating Moles of a Gas
● At STP, a mole of any gas
takes up 22.4 liters.
● Use 22.4 L
/mol
as a
conversion factor!
Example 1
● How many liters will a
0.19-mole sample of
oxygen gas take up?
Example 2
● A blimp has a volume of 95 kL (95,000 L). If it is
filled with helium at STP, how many moles of the
gas are contained within the blimp?
Examples 3 and 4
● Find the number of moles in a
sample of chlorine gas stored
in a 14.2-liter tank at STP.
● What is the volume
of 0.18 moles of
xenon at STP?
During Last Week’s Episode…
● Look up molar mass of elements /
calculate molar mass of compounds
● Convert moles-grams using molar mass
as the conversion factor (elements and
compounds)
● Convert moles-liters of a gas using molar
volume (22.4 L/mol)
MOLES
Mass (g)
Volume (L) # Atoms
Conversion Factor:
molar mass
Conversion Factor:
molar volume
(22.4 L / 1 mol)
Conversion Factor:
Avogadro’s number
6.02 x 1023
atoms/mol
Challenge Problem
● Calculate the mass of
16.4 L of chlorine gas
at STP.
Part 3: Molarity
Molarity
Molarity is a measure of how
concentrated a solution is
Amount of solute per volume of
solution
High concentration / high
molarity
Molarity
Measured in units of moles/liter
mol/L = “M”
A 2.5 M solution has 2.5 moles of salt in one liter of
water
Molarity Problems
To make one liter of a
2.5 molar solution of
sodium chloride, how
many grams of sodium
chloride do you need?
Molarity Problems
SET MOLARITY
PROBLEMS UP AS A
PROPORTION!
●How many moles of
silver nitrate (AgNO3
)
are in 0.4 L of a 6.0 M
solution?
●How many grams of
silver nitrate is that?
Molarity Problem #3
How many grams of lead(IV) chloride must
be dissolved in 50 mL of water to make a
0.1 M solution?
Remember: 0.1 M = 0.1 mol/L
Molarity Problem #4
●If you dissolve 56 g of sugar (sucrose,
C12
H22
O11
) into a liter of water, what is the
molarity of the solution you created?
Part 3: Percent
Composition
Section 10.3, page 305
● Methane, CH4
, is made of solely hydrogen and
carbon. What percent of the compound is
hydrogen? What percent is carbon?
Percent Composition
● Remember that some atoms are
larger, by mass, than others
● Mass of each atom must be taken
into account when calculating
percent composition
Percent Composition
● Percent composition = % (by mass) of
each atom in a compound
mass of element
% composition = --------------------------- x 100%
mass of compound
Example 1
● 15.1 grams of oxygen combine with 1.9 g
of hydrogen to make water. Find the
percent composition of each element.
Example 2
● A sample of glucose is synthesized from
58.00 g carbon, 9.73 g hydrogen, and
77.27 g oxygen. Find the percent
composition for each element.
Percent Composition and
Chemical Formulas
● Allows you to find the %
composition of an element
in a compound without
knowing the mass of that
element
molar mass of element
% composition = --------------------------------------- x 100%
molar mass of compound
Example 1
● What percentage of a sample of table salt,
sodium chloride, is sodium?
Example 2
● Determine the percent composition of iron
(III) oxide.
Example 3
● Hypochlorous acid is one of the active
sanitizers in pool-cleaning products. Its
formula is HClO. What percent of the
compound is oxygen?
Using Percent Composition
to Calculate Mass
● To calculate mass of one
element in a specific mass
of a compound, multiply
the mass of the compound
by the percent composition
of that element.
Using Percent Composition
to Calculate Mass
● Example:
● Carbon is 27.3% of
CO2
. Of 45.1 g of
CO2
, what mass is
carbon?
27.3% x 45.1 g = 12.3 g
Example 1
● Find the number of grams of sodium in
10.1 g of sodium sulfate.
● HINT! First write the formula for sodium sulfate,
then find the % sodium.
Thank You
A Presentation by Irfad Imtiaz
Stay Tuned
Facebook.com/IrfadImtiaz
Twitter.com/IrfadImtiaz
Slideshare.net/IrfadImtiaz
http://www.irfadimtiaz.com

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Chemistry - moles

  • 1. Chemistry - Moles A Demonstration to describe the concept of moles more briefly.
  • 3. Introduction ● How did you determine the number of M&Ms in the bag without actually counting?
  • 4. Atoms ● Can you determine the number of atoms of an element even though you can not actually count them? ● Yes… IF there is a conversion factor that allows you to convert between mass and number of atoms.
  • 5. Moles ● The SI base unit that measures amount of substance ● Avogadro’s Number: 6.02 x 1023 atoms
  • 6. Moles and Atomic Mass ● The atomic mass of an element in grams contains one mole of atoms (Avogadro’s number of atoms) ● Example: There are 6.02 x 1023 (or 1.0 moles) of atoms in 12.011 g of carbon
  • 7. Moles as Conversion Factors ● Use moles/grams (or grams/moles) as a conversion factor ● Ex: 16.0 g oxygen ----------------------------- 1 mole oxygen
  • 8. Example 1 ● How many moles of helium atoms are in 6.8 grams?
  • 9. Example 2 ● How many grams is equal to 1.51 moles of iron?
  • 10. Examples 3, 4, and 5 ● 17.6 grams of chlorine is equal to how many moles? ● How many moles of nickel do you have if you have 65.1 g? ● React 1.9 moles of sodium with chlorine gas to get sodium chloride. How many grams of sodium do you need?
  • 11. Calculating Molar Mass ● Atomic Mass of an element = “molar mass” ● Molar mass of a compound must be calculated
  • 12. Calculating Molar Mass ● How many oxygens are in a DOZEN water molecules? ● How many hydrogens?
  • 13. Calculating Molar Mass ● One mole of WATER MOLECULES (H2 O) is one mole of oxygen atoms and two moles of hydrogen atoms ● Calculate the mass of one mole of water molecules
  • 14. Calculate the molar mass of… ● Boron Trifluoride ● Sodium Iodide ● Sodium Bicarbonate (NaHCO3 ) ● Glucose (C6 H12 O6 ) ● Copper (III) Sulfate
  • 15. REMEMBER! ● Molar mass is the mass of one mole of an element/compound. ● Molar mass has units of grams/mole. ● Molar mass can be used as a conversion factor to find grams or find moles.
  • 16. What you should know so far: ●Explain the concept of a “mole” and give a definition ●Explain how one mole of an element is related to atomic mass ●Find the molar mass of an element (using correct units) ●Determine the number of grams/moles of a given element using molar mass ●Calculate the molar mass of a compound ●Determine the number of grams/moles of a given compound using molar mass
  • 17. Making A Solution ● You want to make a solution by dissolving 4.00 moles of potassium nitrate in water. How many grams of the compound will you need?
  • 18. Example! ● Calculate the number of moles in a 13.8-g sample of butane lighter fluid. The formula for butane is C4 H10 .
  • 19. Find the mass of: ●0.702 mol Be. ●2.40 mol N2 . ●0.160 mol H2 O2 . ●5.08 mol NaNO3 . Find the number of moles. ●187 g Al ●0.264 g Li2 HPO4 ●333 g SnF2
  • 20. ● How many grams are in 5.66 mol of CaCO3 ?
  • 21. ● How many moles are in 508 grams of ethanol, CH3 CH2 OH?
  • 22. Part 2: Moles of a Gas
  • 23. Gases ● Solids/liquids are packed tightly together and more space is needed if atoms/molecules are larger ● Atoms/molecules in gases are far apart, so larger atoms/molecules do not need more space
  • 24. Mole-Volume Relationship ● Avogadro’s Hypothesis – equal volumes of gases contain equal numbers of particles ● 1 mole of any gas takes up the same volume as long as…
  • 25. STP ● …as long as the gases are at the same pressures and temperatures ● STP, or “standard temperature and pressure” means 0o C and 1 atmosphere, which is air pressure at sea level
  • 26. Calculating Moles of a Gas ● At STP, a mole of any gas takes up 22.4 liters. ● Use 22.4 L /mol as a conversion factor!
  • 27. Example 1 ● How many liters will a 0.19-mole sample of oxygen gas take up?
  • 28. Example 2 ● A blimp has a volume of 95 kL (95,000 L). If it is filled with helium at STP, how many moles of the gas are contained within the blimp?
  • 29. Examples 3 and 4 ● Find the number of moles in a sample of chlorine gas stored in a 14.2-liter tank at STP. ● What is the volume of 0.18 moles of xenon at STP?
  • 30. During Last Week’s Episode… ● Look up molar mass of elements / calculate molar mass of compounds ● Convert moles-grams using molar mass as the conversion factor (elements and compounds) ● Convert moles-liters of a gas using molar volume (22.4 L/mol)
  • 31. MOLES Mass (g) Volume (L) # Atoms Conversion Factor: molar mass Conversion Factor: molar volume (22.4 L / 1 mol) Conversion Factor: Avogadro’s number 6.02 x 1023 atoms/mol
  • 32. Challenge Problem ● Calculate the mass of 16.4 L of chlorine gas at STP.
  • 34. Molarity Molarity is a measure of how concentrated a solution is Amount of solute per volume of solution High concentration / high molarity
  • 35. Molarity Measured in units of moles/liter mol/L = “M” A 2.5 M solution has 2.5 moles of salt in one liter of water
  • 36. Molarity Problems To make one liter of a 2.5 molar solution of sodium chloride, how many grams of sodium chloride do you need?
  • 37. Molarity Problems SET MOLARITY PROBLEMS UP AS A PROPORTION! ●How many moles of silver nitrate (AgNO3 ) are in 0.4 L of a 6.0 M solution? ●How many grams of silver nitrate is that?
  • 38. Molarity Problem #3 How many grams of lead(IV) chloride must be dissolved in 50 mL of water to make a 0.1 M solution? Remember: 0.1 M = 0.1 mol/L
  • 39. Molarity Problem #4 ●If you dissolve 56 g of sugar (sucrose, C12 H22 O11 ) into a liter of water, what is the molarity of the solution you created?
  • 41. ● Methane, CH4 , is made of solely hydrogen and carbon. What percent of the compound is hydrogen? What percent is carbon?
  • 42. Percent Composition ● Remember that some atoms are larger, by mass, than others ● Mass of each atom must be taken into account when calculating percent composition
  • 43. Percent Composition ● Percent composition = % (by mass) of each atom in a compound mass of element % composition = --------------------------- x 100% mass of compound
  • 44. Example 1 ● 15.1 grams of oxygen combine with 1.9 g of hydrogen to make water. Find the percent composition of each element.
  • 45. Example 2 ● A sample of glucose is synthesized from 58.00 g carbon, 9.73 g hydrogen, and 77.27 g oxygen. Find the percent composition for each element.
  • 46. Percent Composition and Chemical Formulas ● Allows you to find the % composition of an element in a compound without knowing the mass of that element molar mass of element % composition = --------------------------------------- x 100% molar mass of compound
  • 47. Example 1 ● What percentage of a sample of table salt, sodium chloride, is sodium?
  • 48. Example 2 ● Determine the percent composition of iron (III) oxide.
  • 49. Example 3 ● Hypochlorous acid is one of the active sanitizers in pool-cleaning products. Its formula is HClO. What percent of the compound is oxygen?
  • 50. Using Percent Composition to Calculate Mass ● To calculate mass of one element in a specific mass of a compound, multiply the mass of the compound by the percent composition of that element.
  • 51. Using Percent Composition to Calculate Mass ● Example: ● Carbon is 27.3% of CO2 . Of 45.1 g of CO2 , what mass is carbon? 27.3% x 45.1 g = 12.3 g
  • 52. Example 1 ● Find the number of grams of sodium in 10.1 g of sodium sulfate. ● HINT! First write the formula for sodium sulfate, then find the % sodium.
  • 53. Thank You A Presentation by Irfad Imtiaz