Unit 1
Chemical Equations
Anatomy of a Chemical Equation
Anatomy of a Chemical Equation
CH
4(
g
) + 2O
2(
g
)
CO
2(
g
) + 2H
2O(
g
)
Anatomy of a Chemical Equation
CH
4(
g
) + 2O
2(
g
)
CO
2(
g
) + 2H
2O(
g
)
Anatomy of a Chemical Equation
CH
4(
g
) + 2O
2(
g
)
CO
2(
g
) + 2H
2O(
g
)
Anatomy of a Chemical Equation
CH
4(
g
) + 2O
2(
g
)
CO
2(
g
) + 2H
2O(
g
)
© 2012 Pearson Education, Inc.
Subscripts and Coefficients Give
Different Information
• Subscripts tell the number of atoms of each element in a molecule.
Balancing Equations
*Equations must be balanced b/c of the Law of Conservation of Mass
Examples:
__Fe(s) + __O2(g) ___Fe2O3(s)
*use a coefficient to make same # of atoms on both sides of the arrow. _4_Fe(s) + _3_O2(g) _2_Fe2O3(s)
States of matter and other notations:
(s) = solid (aq) = aqueous (not a pure liquid) (l) = liquid (g) = gas
*substances to be (l): H2O(l), Hg(l), Br2(l), also might see nonpolar pure substances: butane, C
¾
D¾
4H10(l)heat is needed
substance
¾
¾¾¾
“Tricks of the Trade”
Balancing polys:
*keep poly whole, don’t break up into
individual atoms
__Al + __H
2SO
4
__H
2+ __Al
2(SO
4)
3Balancing odd # of atoms:
Don’t forget HONCl BrIF!
When ever hydrogen, nitrogen, oxygen,
fluorine, chlorine, bromine, iodine are
reactants or products they are always
represented as diatomics:
H
2, N
2, O
2, F
2, Cl
2, Br
2, I
2You Try:
1. __C
4H
10+ __O
2
__CO
2+ __H
2O
2. __Pb(OH)
2+__ HCl
__H
2O + __PbCl
23. __S
8+ __O
2
__SO
3Models To Represent Rxns
Write a balanced chemical equation to describe the model above.
Calculating Formula Weights or
Molecular Weights
(We called this molar mass in 10th grade.)
Steps:1. List all elements in molec/compd 2. List the number of ea. Element
3. Look up each atomic mass of element.
4. Multiply number of each type of element by its atomic mass.
Example:
Calculate the formula weight of Calcium
nitrate.
Formula: Ca(NO3)2
Ca: 1 x 40.1 amu = 40.1 amu N: 2 x 14.0 amu = 28.0 amu O: 6 x 16.0 amw = 96.0 amu
164.1 amu
You Try…
Calculate the molecular/formula weight of:
1.Sucrose, C12H22O11 2.Ammonium phosphate 3.Calcium chloride
4.Aluminum oxide 5.Iron (II) nitride
Hydrates
Some metal compounds obtained from aqueous solution contain water molecules as part of their hydrated complex.
Example: CuSO4 * 5H2O There are 5 mols of water associated with this
Formula Weight Calculations
with Hydrates
Almost same process as anhydrous compounds. Calculate formula
weight of CuSO4 * 5H2O.
*Note: the *5 does not literally mean multiply, it means associated.
1. Find the Formula
weight of each part. 2. Multiply water’s
molecular weight by # of associated water molecules.
Calculation:
CuSO
4* 5H
2O
CuSO
4:
Cu: 1 x 63.55 = 63.55 amu
S: 1 x 32.06 = 32.06 amu
O: 4 x 16.00 = 64.00 amu
159.61amu
H2O:
H: 2 x 1.008 = 2.016 amu O: 1 x 16.00 = 16.00 amu 18.02 amu 5 (18.02 amu) = 90.10amu
You Try…
A hydrate of magnesium sulfate, commonly known as Epsom salt has the formula: MgSO4 7 H2O.
Calculate the formula weight of this hydrate.
Percent Composition
• The percent by mass of each element in
a molecule or compound.
• Percentages must add to 100%
• Formula:
(no. of atoms)(atomic weight)
Example:
% Composition of CH41. Determine molar masses of each element:
C: 1 x 12 = 12 amu
H: 4 x 1= 4 amu
2. Determine the total molar mass:
CH4 = 12+4 = 16 amw
3. Divide element mass by total mass:
C: 12 x 100= 75% C 16
H: 4 x 100= 25% H 16
Empirical and Molecular
Formulas
• An empirical formula shows the lowest whole
number mole ratio of the elements in a compd/molec. • A molecular formula is the actual formula of the
compd/molec.
– molecular formula = (empirical formula)molecular formula = (empirical formula)nn
[[nn = integer] = integer]
• Compare the empirical and molecular formulas of caffeine:
C4H5N2O vs C8H10N4O2
What about Ionic Compounds?
What about Ionic Compounds?
Formulas for
Formulas for ionic compounds ionic compounds are are ALWAYSALWAYS
empirical
empirical (lowest whole number ratio). (lowest whole number ratio).
Examples:
Examples:
What about molecular formulas?
What about molecular formulas?
Formulas for
Formulas for molecular compounds molecular compounds MIGHTMIGHT
be empirical (lowest whole number ratio).
be empirical (lowest whole number ratio).
Molecular: Molecular:
H2O
C6H12O6 C12H22O11
Empirical:
H2O
CH2O C12H22O11
Steps for Determining Empirical
Formulas:
1. Take %’s and turn into grams to assume there is a 100g total sample. 2. Divide by molar mass of each element to find mole ratios.
3. Divide all mole ratios by lowest mole ratio number.
4. If not whole number ratios, multiply by 2, 3, 4, etc to get whole number ratio.
Example:
1. C = 60.00 g H = 4.44 g O = 35.56 g
2. C = 60.00 g = 4.995 mol 12.01
H = 4.44 g = 4.41 mol 1.008
O = 35.56 g = 2.223 mol 16.00
3. C = 4.995 = 2.247 x 4 2.223
H = 4.41 = 1.98 x 4 2.223
O = 2.223 = 1.000 x 4 2.223
4. X 4 mole ratios to make whole numbers.
Answer:
Aspirin has a chemical composition of 60.00% C, 4.44% H, and 35.56% O. What is the empirical formula of aspirin?
Aspirin
• Empirical Formula of Aspirin:
• Molecular Formula of Aspirin:
• They are the same
C
9H
8O
4What if they aren’t the same?
Determining Molecular Formulas
1. Determine the molar mass of the EF:
C: 1 x 12.01amu = 12.01amu H: 2 x 1.008 amu= 2.016amu O: 1 x 16.00amw= 16.00amu
30.02amu
2. Divide the MF molar mass by the EF molar mass to determine the whole # ratio
180 = 6 30.02
3.Multiply the subscripts in the EF by the whole #
6 (CH2O) = C6H12O6
Answer:
EF: CH2O MF: C6H12O6
Sample AP Question
When hafnium metal is heated in an atmosphere of chlorine gas, the product of the reaction is found to contain 62.2 percent Hf by mass and 37.4 percent Cl by mass. What is the empirical formula for this compound?
Sample AP Question
A compound contains 1.10 mol of K, 0.55 mol of Te, and 1.65 mol of O. What is the simplest formula of this compound?
Sample AP Question
A sample of a compound contains 3.21 g of sulfur and 11.4 g of fluorine. Which of the following represents the empirical formula of the compound?
What about empirical formulas of
hydrates?
A 0.386 g sample of sodium sulfate hydrate with the general formula Na2SO4 xH2O is heated. The mass after heating is 0.170 g. What is the formula and
Hydrates: You Try…
A hydrate of copper(II) chloride has the formula: CuCl2 xH2O. A 3.41 g sample of the hydrate is
heated. The remaining sample has a mass of 2.69 g. Find the empirical formula of the compound.
The Mole!
Avogadro’s Number:
the amount of
atoms/substances/objects per mole.
6.022 x 1023 mol-1
*Memorize this NA as a variable
Since atoms, molecules, or ions are extremely small, the number of individual particles in a substance is extremely LARGE!
Converting Substances
Calculations with Moles:
Calculations with Moles:
Converting moles to grams
Converting moles to grams
How many grams of lithium are in 3.50 moles of lithium?
3.50 mol Li
= g Li 1 mol Li
6.94 g Li
Calculations with Moles:
Calculations with Moles:
Converting grams to moles
Converting grams to moles
How many moles of lithium are in 18.2 grams of lithium?
18.2 g Li
= mol Li 6.94 g Li
1 mol Li
Calculations with Moles:
Calculations with Moles:
Using Avogadro
Using Avogadro
’
’
s Number
s Number
How many atoms of lithium are in 3.50 moles of lithium?
3.50 mol Li
= atoms Li 1 mol Li
6.02 x 1023 atoms Li
Calculations with Moles:
Calculations with Moles:
Using Avogadro
Using Avogadro
’
’
s Number
s Number
How many atoms of lithium are in 18.2 g of lithium?
18.2 g Li
= atoms Li 1 mol Li 6.02 x 1023 atoms Li
1.58 x 1024
6.94 g Li 1 mol Li
Calculations with Moles:
Calculations with Moles:
Using Avogadro
Using Avogadro
’
’
s Number
s Number
How many atoms of H are in 0.350 mol of C6H12O6?0.350 mol C6H12O6
= atoms H 6.02 x 1023 molec C
6H12O6
2.58 x 1024
1 mol C6H12O6 1 molec C
6H12O6
(0.350)(6.022 x 1023)(12)
Simple Types of Reactions
Combination (Synthesis):
2 or more reactants form 1 product.
Nitrogen gas and hydrogen gas produce ammonia gas.
N2(g) + 3H2(g) 2NH3(g)
Decomposition: 1 reactant produces 2 or more products.
Solid potassium chlorate
decomposes to produce solid potassium chloride and oxygen gas.
Stoichiometry
Stoichiometry
Using the balanced coefficients as mole
Using the balanced coefficients as mole
ratios in problems.
ratios in problems.
C
C22HH55OH + 3OOH + 3O22 2CO 2CO22 + 3H + 3H22OO
1
1 mole of ethanol mole of ethanol reacts with 3reacts with 3 moles of oxygen moles of oxygen
to produce
to produce 22 moles of carbon dioxide moles of carbon dioxide and 3and 3 moles moles of water
of water
When the equation is balanced it has quantitative
When the equation is balanced it has quantitative
significance:
Working a Stoichiometry Problem
Working a Stoichiometry Problem
6 moles of aluminum reacts with an excess of oxygen. How many moles of aluminum oxide are formed.
1. Identify reactants and products and write the balanced equation.
Al + O2 Al2O3
a. What are the reactants?
b. What are the products?
c. What are the balanced coefficients?
Working a Stoichiometry
Working a Stoichiometry
Problem
Problem
6.50 grams of aluminum reacts with
an excess of oxygen. How many
grams of aluminum oxide are formed?
Working a Stoichiometry Problem
Working a Stoichiometry Problem
6 moles of aluminum reacts with an excess of oxygen. How many moles of aluminum oxide are formed?
4 Al + 3 O2 2Al2O3
=
6 mol Al
? mol Al2O3 2 mol Al2O3
4 mol Al
Working a Stoichiometry Problem
Working a Stoichiometry Problem
6.50 grams of aluminum reacts with an excess of oxygen. How many grams of aluminum oxide are formed?
4 Al + 3 O2 2Al2O3
=
6.50 g Al
? g Al2O3 1 mol Al
27.0 g Al 4 mol Al 2 mol Al2O3
1 mol Al2O3 102. g Al2O3
You Try
You Try
Solid lithium hydroxide reacts with
carbon dioxide gas to produce solid
lithium carbonate and liquid water.
How many grams of carbon dioxide
can be absorbed by 1.00 grams of
lithium hydroxide?
You Try
You Try
Solid lithium hydroxide reacts with carbon
dioxide gas to produce solid lithium carbonate and liquid water. How many grams of carbon dioxide can be absorbed by 1.00 grams of lithium hydroxide?
2LiOH(s) + CO2(g) Li2CO3(s) + H2O(l)
=
1.00 g LiOH
? g Al2O3 1 mol LiOH
24.0 g LiOH2 mol Al 1 mol CO2
1 mol CO2 44.0 g CO2
What are Limiting Reactants?
1. Analogy: when baking a typical choco chip cookie recipe is:2 1/4 cups all-purpose flour 1 teaspoon baking soda
1 teaspoon salt
1 cup (2 sticks) butter 3/4 cup granulated sugar 3/4 cup packed brown sugar 1 teaspoon vanilla extract 2 large eggs
1 bag chocolate chips
Terminology:
1. Limiting Reactant (LR): the reactant that
will be used up first during a chemical
reaction.
2. Excess Reactant: the reactant that will be
left over when the reaction is complete
Percent Yield:
% yield
=
Actual amount
theoretical amount
x 100
Actual: the amount of product actually
produced
Example
212 grams of solid sodium carbonate reacts with
134 grams of solid copper(II) chloride to produce
aqueous sodium chloride and solid copper(II)
carbonate. Which is the limiting reactant?
Steps:
2. Set up a Mass to Mass Stoich problem and compare the two reactants to each other.
212 g Na2CO3
= 268.9 g CuCl2 1 mol Na2CO3
106.0 g Na2CO3 1 mol Na2CO3 1 mol CuCl2
1 mol CuCl2 134.5 g CuCl2
3. Compare the amount of reactant needed to the amount given to you.
Given: 134 g CuCl2 Needed: 268.9 g CuCl2
More Questions
1. How many grams of the excess reactant
are left over?
2. How many grams of copper (II) carbonate
are theoretically produced?
3. If this reaction is performed and 62 grams
of copper (II) carbonate is actually
“Integrated” Problem
Isopropyl alcohol, sold as rubbing alcohol, is
composed of C, H and O. Combustion of
Step 1:
1. Find how many grams of C and H there are by
Step 2:
2. Find how many grams of oxygen there
should be if the Law of Conservation of
Mass is obeyed.
Step 3:
3. Determine the number of moles of each
substance by converting grams of each
Step 4:
4. Create small, whole number mole ratios by
dividing by smallest number of moles.
Multiply by a small number to fix ratios if
needed.
AP Sample Question
A sample of a compound that contains only the elements C, H, and N is completely burned in O2 to produce 44.0 g of CO2, 45.0 g of H2O, and some NO2 . A possible empirical formula of the compound is