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Page 1: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Chemical Equations Chapter 10

Chemical Equations Chapter 10

Eugene PasserChemistry DepartmentBronx Community College

© John Wiley and Sons, Inc

Version 1.1

Page 2: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Chapter Outline8.1 The Chemical Equation

8.2 Writing and Balancing Equations8.3 What Information Does an Equation Tell Us

8.4 Types of Chemical Equations

8.5 Heat in Chemical Reactions

Page 3: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

• Chemists use chemical equations to describe reactions they observe in the laboratory or in nature.

• Chemical equations provide us with the means to1.summarize the reaction

2.display the substances that are reacting

3.show the products

4.indicate the amounts of all component substances in a reaction.

Page 4: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

The Chemical EquationThe Chemical Equation

Page 5: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

• Chemical reactions always involve change.

• Atoms, molecules or ions rearrange to form new substances.

• The substances entering the reaction are called reactants.

• The substances formed in the reaction are called products.

• During reactions, chemical bonds are broken and new bonds are formed.

Page 6: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

• A chemical equation uses the chemical symbols and formulas of the reactants and products and other symbolic terms to represent a chemical reaction.

• A chemical equation is a shorthand expression for a chemical change or reaction.

Page 7: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Coefficients (whole numbers) are placed in front of substances to balance the equation and to indicate the number of units (atoms, molecules, moles, or ions) of each substance that are reacting.

Page 8: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Al + Fe2O3 Fe + Al2O3

coefficient2 2

coefficient

Page 9: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Conditions required to carry out the reaction may be placed above or below the arrow.

Page 10: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Al + Fe2O3 Fe + Al2O3

coefficient2 2

coefficient

heat

Page 11: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

The physical state of a substance is indicated by symbols such as (l) for liquid.

Page 12: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

2Al(s) + Fe2O3(s) 2Fe(l) + Al2O3 (s)

All atoms present in the reactant must also be present in the products.

In a chemical reaction atoms are neither created nor destroyed.

(s) (l) (s)(s)

Page 13: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Symbols UsedSymbols Usedin Chemical Reactionsin Chemical Reactions

Symbols UsedSymbols Usedin Chemical Reactionsin Chemical Reactions

Page 14: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Al + Fe2O3 Fe + Al2O3

reactants productsAl + Fe2O3 Fe + Al2O3

Chemical Equation

iron oxygen bonds break

aluminum oxygen bonds form

Page 15: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

(aq)symbol

aqueousmeaning

after formulalocation

Page 16: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

placed between substances

+symbol

plusmeaning

location

Page 17: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

symbol

heatmeaning

written above location

Page 18: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

symbol

gas formationmeaning

after formulalocation

Page 19: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Writing andWriting andBalancing EquationsBalancing Equations

Page 20: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

• To balance an equation adjust the number of atoms of each element so that they are the same on each side of the equation.

• Never change a correct formula to balance an equation.

Page 21: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Steps for Steps for Balancing EquationsBalancing Equations

Steps for Steps for Balancing EquationsBalancing Equations

Page 22: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Step 1 Identify the reaction. Write a description or word equation for the reaction.

Mercury (II) oxide decomposes to form mercury and oxygen.

mercury(II) oxide → mercury + oxygen

Page 23: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

HgO Hg + O2

– The formulas of the reactants and products must be correct.

– The reactants are written to the left of the arrow and the products to the right of the arrow.

Step 2 Write the unbalanced (skeleton) equation.

The formulas of the reactants and products can never be changed.

Page 24: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

HgO → Hg + O2

Step 3a Balance the equation.

– There is one mercury atom on the reactant side and one mercury atom on the product side.

– Mercury is balanced.

Element Reactant Side Product Side Hg 1 1

Page 25: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Step 3a Balance the equation.– Count and compare the number of atoms of each

element on both sides of the equation.

– Determine the elements that require balancing.

Page 26: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Element Reactant Side Product Side O 1 2

Step 3a Balance the equation.

– There are two oxygen atoms on the product side and there is one oxygen atom on the reactant side.

– Oxygen needs to be balanced.

HgO Hg + O2

Page 27: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Step 3b Balance the equation.– Balance each element one at a time, by

placing whole numbers (coefficients) in front of the formulas containing the unbalanced element.

– A coefficient placed before a formula multiplies every atom in the formula by that coefficient.

Page 28: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Element Reactant Side Product Side O 1 2

Oxygen (O) is balanced.

Step 3b Balance the equation.

• Place a 2 in front of HgO to balance O.

There are two oxygen atoms on the reactant side and there are two oxygen atoms on the product side.

HgO Hg + O22

2

Page 29: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Step 3c Balance the equation.

• Check all other elements after each individual element is balanced to see whether, in balancing one element, another element became unbalanced.

Page 30: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Element Reactant Side Product Side Hg 2 1

• Count and compare the number of mercury (Hg) atoms on both sides of the equation.

Step 3c Balance the equation.

Mercury (Hg) is not balanced.

2HgO Hg + O2

• There are two mercury atoms on the reactant side and there is one mercury atom on the product side.

Page 31: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

2HgO Hg + O2

Step 3c Balance the equation.

• Place a 2 in front of Hg to balance mercury.

Mercury (Hg) is balanced.

There are two mercury atoms on the reactant side and there are two mercury atoms on the product side.

Element Reactant Side Product Side Hg 2 1

2

2

Page 32: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

2HgO 2Hg + O2

Element Reactant Side Product Side Hg 2 2 O 2 2

THE EQUATION IS BALANCED

Page 33: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

sulfuric acid + sodium hydroxide → sodium sulfate + water

Balance the Equation

Page 34: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

There is one Na on the reactant side and there aretwo Na on the product side.

Reactant Side Product Side

SO4 1 1

Na 1 2

O 1 1

H 3 2

2

H2SO4(aq) + NaOH(aq) → Na2SO4(aq) + H2O(l)2

Place a 2 in front of NaOH to balance Na.

Balance the Equation

2

4

Page 35: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

H2SO4(aq) + NaOH(aq) → Na2SO4(aq) + H2O(l)

There are 4 H on the reactant side and two H on the product side.

Reactant Side Product Side

SO4 1 1

Na 2 2

O 2 1

H 4 2

2

Place a 2 in front of H2O to balance H.

2

2

4

THE EQUATION IS BALANCED

Page 36: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

butane + oxygen → carbon dioxide + water

Balance the Equation

Page 37: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

There are now 26 O on the product side.

Reactant Side Product Side

C 8 8

H 20 20

O 2 26

13

Place a 13 in front of O2 to balance O.

26

THE EQUATION IS BALANCED C4H10 (g) + O2 (g) → CO2(g) + H2O(l)2 8 10

Page 38: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

What Information Does What Information Does an Equation Tell Usan Equation Tell Us

Page 39: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

The meaning of a formulais context dependent.

The formula H2O can mean:

1. 2H and 1 O atom

2. 1 molecule of water

3. 1 mol of water

4. 6.022 x 1023 molecules of water

5. 18.02 g of water

Page 40: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

In an equation formulas can represent units of individual chemical entities or moles.

H2 + Cl2 2HCl→

1 molecule H2 1 molecule Cl2 2 molecules HCl

1 mol H2 1 mol Cl2 2 mol HCl

Page 41: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

FormulasNumber of molecules

Number of atomsNumber of molesMolar masses

Page 42: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Types of Chemical Types of Chemical EquationsEquations

Page 43: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

CombinationDecomposition

Single-DisplacementDouble-Displacement

Combustion

Page 44: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Combination ReactionsCombination ReactionsCombination ReactionsCombination Reactions

Page 45: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

A + B AB

Two reactants combine to form one product.

Page 46: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

2Ca(s) + O2(g) 2CaO(s)

Metal + Oxygen → Metal Oxide

4Al(s) + 3O2(g) 2Al2O3(s)

Page 47: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

S(s) + O2(g) SO2(g)

Nonmetal + Oxygen → Nonmetal Oxide

N2(g) + O2(g) 2NO(g)

Page 48: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

2K(s) + F2(g) 2KF(s)

Metal + Nonmetal → Salt

2Al(s) + 3Cl2(g) 2AlCl3(s)

Page 49: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Na2O(s) + H2O(l) 2NaOH(aq)

Metal Oxide + Water → Metal Hydroxide

CaO(s) + 2H2O(l) 2Ca(OH)2(aq)

Page 50: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

SO3(g) + H2O(l) H2SO4(aq)

Nonmetal Oxide + H2O(l) → Oxy-acid

N2O5(g) + H2O(l) 2HNO3(aq)

Page 51: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Decomposition ReactionsDecomposition ReactionsDecomposition ReactionsDecomposition Reactions

Page 52: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

AB A + B

A single substance breaks down togive two or more different substances.

Page 53: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Carbonate → CO2(g)

CaCO3(s) CaO(s) + CO2(g)

2NaHCO3(s) Na2CO3(s) + H2O(g) + CO2(g)

Hydrogen Carbonate → CO2(g)

Page 54: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

2Ag2O(s) 4Ag(s) + O2(g)

Metal Oxide → Metal + Oxygen

Metal Oxide → Metal Oxide + Oxygen

2PbO2(s) 2PbO(s) + O2(g)

Page 55: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Miscellaneous Reactions

2KClO3(s) 2KCl(s) + 3O2(g)

2NaNO3(s) 2NaNO2(s) + O2(g)

2H2O2(l) 2H2O(l) + O2(g)

Page 56: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Single Displacement Single Displacement ReactionsReactions

Single Displacement Single Displacement ReactionsReactions

Page 57: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

A + BC AC + B

One element reacts with a compound toreplace one the elements of that compound.

Page 58: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Mg(s) + 2HCl(aq) H2(g) + MgCl2(aq)

2Al(s) + 3H2SO4(aq) 3H2(g) + Al2(SO4)3(aq)

salt

Metal + Acid → Hydrogen + Salt

salt

Page 59: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

2Na(s) + 2H2O(l) H2(g) + 2NaOH(aq)

Ca(s) + 2H2O(l) H2(g) + Ca(OH)2(aq)

Metal + Water → Hydrogen + Metal Hydroxide

metal hydroxide

metal hydroxide

Page 60: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Metal + Water → Hydrogen + Metal Oxide

metal oxide

3Fe(s) + 4H2O(g) 4H2(g) + Fe3O4(s)

Page 61: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

The Activity SeriesThe Activity SeriesThe Activity SeriesThe Activity Series

Page 62: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Metals KCaNaMgAlZnFeNiSnPbH

CuAgHg

An atom of an element in the activity series will displace an atom of an element below it from one of its compounds .

Sodium (Na) will displace an atom below it from one of its compounds.

increasing activity

Page 63: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Mg(s) + PbS(s) MgS(s) + Pb(s)

Metal Higher in Activity Series Displacing Metal Below It

Magnesium is above lead in the activity series.

Metals MgAlZnFeNiSnPb

Page 64: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Ag(s) + CuCl2(s) no reaction

Metal Lower in Activity Cannot Displace Metal Above It

Metals PbH

CuAgHg

Silver is below copper in the activity series.

Page 65: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Double Displacement Double Displacement ReactionsReactions

Double Displacement Double Displacement ReactionsReactions

Page 66: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Cl2(g) + CaBr2(s) CaCl2(aq) + Br2(aq)

Halogen Higher in Activity Series Displaces Halogen Below It

Halogens F2

Cl2

Br2

I2

Chlorine is above bromine in the activity series.

Page 67: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

AB + CD AD + CB

Two compounds exchange partners with each other to produce two different compounds.The reaction can be thought of as an exchange of positive and negative groups.

A displaces C and combines with DB displaces D and combines with C

Page 68: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

The Following Accompany Double Displacement Reactions

• formation of a precipitate

• release of gas bubbles

• release of heat

• formation of water

Page 69: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Acid Base Neutralization

HCl(aq) + NaOH(aq) NaCl(aq) + H2O(l)

H2SO4(aq) + 2NaOH(aq) Na2SO4(aq) + 2H2O(l)

acid + base → salt + water

Page 70: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Formation of an Insoluble Precipitate

AgNO3(aq) + NaCl(aq) AgCl(s) + NaNO3(aq)

Pb(NO3)2(aq) + 2KI(aq) PbI2(s) + 2KNO3(aq)

Page 71: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Metal Oxide + Acid

CuO(s) + 2HNO3(aq) Cu(NO3)2(aq) + H2O(l)

CaO(s) + 2HCl(aq) CaCl2(s) + H2O(l)

metal oxide + acid → salt + water

Page 72: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Formation of a Gas

H2SO4(aq) + 2NaCN(aq) Na2SO4(aq) + 2HCN(g)

NH4Cl(aq) + NaOH(aq) NaCl(aq) + NH4OH(aq)

NH4OH(aq) NH3(g) + H2O(l)

indirect gas formation

Page 73: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Introduction to Stoichiometry:Introduction to Stoichiometry:The Mole-Ratio MethodThe Mole-Ratio Method

Page 74: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

• Stoichiometry: The area of chemistry that deals with the quantitative relationships between reactants and products.

• Mole Ratio: a ratio between the moles of any two substances involved in a chemical reaction.– The coefficients used in mole ratio

expressions are derived from the coefficients used in the balanced equation.

Page 75: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

1 mol 2 mol3 molN2 + 3H2 2NH3

2

32 mo

3 mol H

l NH

Page 76: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

2

23 m

1 mol

ol H

N

N2 + 3H2 2NH31 mol 2 mol3 mol

Page 77: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

• The mole ratio is used to convert the number of moles of one substance to the corresponding number of moles of another substance in a stoichiometry problem.

• The mole ratio is used in the solution of every type of stoichiometry problem.

Page 78: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Identify the starting substance from the data given in the problem statement. Convert the quantity of the starting substance to moles, if it is not already in moles.

1 molemoles = grams

molar mass

Step 1 Determine the number of moles of starting substance.

Page 79: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

The number of moles of each substance in the balanced equation is indicated by the coefficient in front of each substance. Use these coefficients to set up the mole ratio.

moles of desired substance in the equationmole ratio =

moles of starting substance in the equation

Step 2 Determine the mole ratio of the desired substance to the starting substance.

Page 80: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

moles of desired substance

in the equationmoles of desired substance = moles of starting substance

moles of starting substance

in the equation

Step 2 Determine the mole ratio of the desired substance to the starting substance.

Multiply the number of moles of starting substance (from Step 1) by the mole ratio to obtain the number of moles of desired substance.

Page 81: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Step 3. Calculate the desired substance in the units specified in the problem.

• If the answer is to be in moles, the calculation is complete

• If units other than moles are wanted, multiply the moles of the desired substance (from Step 2) by the appropriate factor to convert moles to the units required.

Page 82: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Step 3. Calculate the desired substance in the units specified in the problem.

molar mass1. To calculate : grams =gr moles x

1 moams

l

Page 83: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

236.022 x 10 atoms2. To calculate : atoms = moles

1 moatoms

l

Step 3. Calculate the desired substance in the units specified in the problem.

Page 84: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

236.022 x 10 molecules3. To calculate : molecules = mol moles x

1 molecules

Step 3. Calculate the desired substance in the units specified in the problem.

Page 85: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Limiting-Reactant and Limiting-Reactant and Yield CalculationsYield Calculations

Page 86: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

• It is called the limiting reactant because the amount of it present is insufficient to react with the amounts of other reactants that are present.

• The limiting reactant limits the amount of product that can be formed.

• The limiting reactant is one of the reactants in a chemical reaction.

Page 87: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Steps Used to Determine Steps Used to Determine the Limiting Reactantthe Limiting Reactant

Steps Used to Determine Steps Used to Determine the Limiting Reactantthe Limiting Reactant

Page 88: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

1. Calculate the amount of product (moles or grams, as needed) formed from each reactant.

2. Determine which reactant is limiting. (The reactant that gives the least amount of product is the limiting reactant; the other reactant is in excess.

3. Calculate the amount of the other reactant required to react with the limiting reactant, then subtract this amount from the starting quantity of the reactant. This gives the amount of the that substance that remains unreacted.

Page 89: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Reaction YieldReaction YieldReaction YieldReaction Yield

Page 90: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

The quantities of products calculated from equations represent the maximum yield (100%) of product according to the reaction represented by the equation.

Page 91: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

Many reactions fail to give a 100% yield of product.

This occurs because of side reactions and the fact that many reactions are reversible.

Page 92: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

• The theoretical yield of a reaction is the calculated amount of product that can be obtained from a given amount of reactant.

• The actual yield is the amount of product finally obtained from a given amount of reactant.

Page 93: Chemical Equations Chapter 10 Eugene Passer Chemistry Department Bronx Community College © John Wiley and Sons, Inc Version 1.1

• The percent yield of a reaction is the ratio of the actual yield to the theoretical yield multiplied by 100.

actual yield x 100 = percent yield

theoretical yield