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Book 2 : Types of Chemical Reactions & Energy in Reactions Name:__________ Block:_____ Chemistry 11 Zukowski 1

Book 2 : Types of Chemical Reactions & Energy in Reactions · Chemical Reactions Reactions, much like elements and compounds, can be classified according to type. The ability to recognize

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Page 1: Book 2 : Types of Chemical Reactions & Energy in Reactions · Chemical Reactions Reactions, much like elements and compounds, can be classified according to type. The ability to recognize

Book 2 : Types of Chemical Reactions & Energy in Reactions

Name:__________ Block:_____

Chemistry 11

Zukowski 1

Page 2: Book 2 : Types of Chemical Reactions & Energy in Reactions · Chemical Reactions Reactions, much like elements and compounds, can be classified according to type. The ability to recognize

Classifying Chemical Reactions and Predicting Products

Warm UpReaction Type Reactants Products

Synthesis (combination) two substances one substanceDecomposition one substance two substancesSingle replacement element + compound new element + compoundDouble replacement two compounds two new compoundsNeutralization acid + base salt + waterCombustion organic compound + oxygen carbon dioxide + water

Balance the following equations. Then use the table above to classify each as one of the major reaction types listed:1. Na(s) + H2O(l) ➝ NaOH(aq) + H2(g)

2. Li2O(s) + H2O(l) ➝ LiOH(aq)

3. C6H14(l) + O2(g) ➝ CO2(g) + H2O(g)

4. HCl(aq) + Sr(OH)2(aq) ➝ SrCl2(aq) + H2O(l)

5. AlBr3(s) ➝ Al(s) + Br2(l)

Classification of Chemical Reactions

Reactions, much like elements and compounds, can be classified according to type. The ability to recognize and classify reactions can help us predict the products of those chemical changes. Classification can also help us predict whether a reaction is likely to occur or not.

You are expected to be able to predict the products when given the reactants, classify the type of reaction and balance it!

1) Synthesis(Combination)Reactions

A synthesis (or ______________________)

Usually synthesis reactions are accompanied by the release of a significant amount of ________________________________in the form of heat and/or light. That is they are _______________________________. The prefix “exo” means outside, while “thermo” refers to heat. Synthesis reactions sometimes _______________a small amount of “start-up” energy to begin. This start-up energy is known as _______________________________________.The friction in striking a match provides activation energy for the exothermic reaction between the red phosphorus on the match head and the oxygen gas in the air.

The reaction is:

Figure 4.2.1 Activation energy is required for both lighting and burning the match.

Synthesis (A + B → _________)

Two elements (or simple compounds) combine to form a more complexcompound. Use valence (assume most common form if polyvalent) to predict products...

Zukowski 1

Page 3: Book 2 : Types of Chemical Reactions & Energy in Reactions · Chemical Reactions Reactions, much like elements and compounds, can be classified according to type. The ability to recognize

Tips for Synthesis Reactions: Two elements (or simple compounds) combine to form a more ___________________________________. Use valence (assume most common form if polyvalent) to predict products. most common reactions of this type involve oxides of metals or non-metals and water.

Examples Ca + P4 →

H2 + O2 →

SO3(g) + H2O(l) →

H2 + O2 → H2 + O2 → H2 + O2 →

Decomposition Reactions

A decomposition

Decomposition reactions are commonly used in the mining industry in British Columbia to separate metals from their ores.

For example, aluminum production occurs when electric current is passed through molten aluminum oxide or bauxite ore:

2 Al2O3(l) ➝ 4 Al(s) + 3 O2(g)

Most decomposition reactions require a continuous source of e_______________. This energy is used to ________________________ _____________________ between the elements of the starting material. Reactions that absorb energy to break bonds are called to be ___________________________________.

Examples H2O →

NI3 →

H2CO3(aq) →

Assignment #5: Types of Chemical Reactions Worksheet Part I & IIComplete this assignment in this booklet! Show all working out!

Zukowski 2

Page 4: Book 2 : Types of Chemical Reactions & Energy in Reactions · Chemical Reactions Reactions, much like elements and compounds, can be classified according to type. The ability to recognize

Types of Chemical Reactions Worksheet

Part 1 – Classify each of the following reactions as a synthesis (S) or decomposition (D) reaction and then balance each equation.

Reaction Reaction type 1. _____ NH3 → _____ N2 + _____ H2

2. _____ K + _____ Br2 → _____ KBr

3. _____ H2O → _____ H2 + _____ O2

4. _____ Al + _____ Cl2 → _____ AlCl3

5. _____ O2 + _____ Be → _____ BeO

6. _____ P4 + _____ F2 → _____ PF3

7. _____ H2 + _____ O2 → _____ H2O

8. _____ KClO3 → _____ KCl + _____ O2

9. _____ S8 + _____ O2 → _____ SO3

10. _____ Ti + _____ Cl2 → _____ TiCl3

11. _____ CO2 → _____ C + _____ O2

12. _____ NaClO3 → _____ NaCl + _____ O2

Part 2 – Complete the following synthesis and decomposition reactions. Add phases and balance!

13. _____ Mg + _____ N2 →

14. _____ MgF2 →

15. _____ Ca3N2 →

16. _____ Al + _____ F2 →

17. _____ K + _____ O2 →

18. _____ Cd + _____ I2 →

19. _____ K2O →

20. _____ AuCl3 →Zukowski 3

Page 5: Book 2 : Types of Chemical Reactions & Energy in Reactions · Chemical Reactions Reactions, much like elements and compounds, can be classified according to type. The ability to recognize

Single Replacement Reactions

IMPORTANT TO REMEMBER:• a metal element always bonds with a non-metal element• metals replace metals, while non-metals replace non-metals

• metal replacement: 2 K(s) + Cu(NO3)2(aq) ➝ 2 KNO3(aq) + Cu(s)

• hydrogen replacement: 2 Na(s) + 2 HOH(l) ➝ 2 NaOH(aq) + H2(g)

• non-metal replacement: Br2(l) + 2 NaI(aq) ➝ 2 NaBr(aq) + I2(s)

Will a single replacement reaction will proceed or not?

Must compare the _________________________________________________________of the element to that of the element it will replace in the compound Table 4.2.2.

Chemical reactivity is the tendency of a substance to undergo chemical change.

A ___________reactive element will "kick off" a _________ reactive one.

Will the following reactions proceed? Predict the products for those that do proceed and balance the equations.

A single replacement

Examples CuCl2 (aq) + Al (s) →

F2 (g) + MoCl5 (s) →

Cu (s) + AlCl3 (aq) →

I2 (s) + SnBr4 (aq) →

Table 4.2.2 Series of Chemical Reactivity

Two Activity Series

Metals Decreasing Activity Halogens

lithium potassiumcalciumsodiummagnesiumaluminumzincchromiumironnickeltinleadHYDROGEN*coppermercurysilverplatinumgold

flourinechlorinebromineiodine

* Hydrogen may be displaced from most acids by all metals above it in the series. However, it may only be displaced from water (at room temperature) by those above magnesium.

1. Na(s) + AlCl3(aq) ➝

2. Cu(s) + KBr(aq) ➝

3. F2(g) + LiI(aq) ➝

4. Ca(s) + HOH(l ) ➝Zukowski 4

Page 6: Book 2 : Types of Chemical Reactions & Energy in Reactions · Chemical Reactions Reactions, much like elements and compounds, can be classified according to type. The ability to recognize

1. Precipitation Reaction• ions “trade partners”• two ___________________________are formed• at least one of which is ____________________________• the low solubility salt gives immediate evidence of _______________________

change as it forms a _________________ suspended in solution• this is called a _________________________

Remember that EVERY salt d___________________ to some extent in water. Some salts dissociate a great amount and have a h__________ molarity at saturation, while others become saturated at a very ____________molarity.A 'soluble' salt has a saturation molarity greater than 0.10M, whereas a 'low solubility' salt becomes s_________________ at a molarity lower than 0.10M.

Example:

The precipitate is always indicated by a symbol (_____), which indicates that a solid has been formed.

occur when the a________________ of two ____________________compounds switch places technically, one of the two products must form a solid for the reaction to occur anything with alkali ions (___________________), ammonium ions (________) or nitrate ions(_______)

will NOT form a precipitate. If no solid forms, just write aqueous solution, NR = no reaction

Double Replacement Reactions

A double replacement reaction

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

(b)

There are three categories of double replacement reactions: 1. precipitation2. neutralization

a. gas formation (a)

Figure 4.2.3 (a) Solutions of sodium chloride and silver nitrate; (b) Precipitate of silver chloride suspended in a solution of sodium nitrate

REMEMBER: an ionic compound is made up of a positively charged, c________________ bonded to a negatively charged,_______________. When these ions trade positions in their compounds, a new set of compounds is formed.

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Page 7: Book 2 : Types of Chemical Reactions & Energy in Reactions · Chemical Reactions Reactions, much like elements and compounds, can be classified according to type. The ability to recognize

SOLUBILITY OF COMMON COMPOUNDS IN WATER The term soluble here means > 0.1 mol/L at 25°C.

SolubleAlkali ions: Li+ , Na + , K+ , Rb+ , Cs+ , Fr +All

SolubleHydrogen ion: H+All

SolubleAmmonium ion: NH4+All

All SolubleNitrate, NO3−

Soluble

Low Solubility

All others

or

or

Ag+ , Pb2+ , Cu+

Chloride,Cl−

Bromide, Br−

Iodide, I−

Soluble

Low Solubility

All others

Ag+ , Ca2+ , Sr 2+ , Ba2+ , Pb2+

Sulphate, SO42−

Soluble

Low SolubilityAll others

Alkali ions, H+ , NH4+ , Be2+ , Mg2+ , Ca2+ , Sr2+ , Ba2+

Sulphide, S2−

Soluble

Low SolubilityAll others

Alkali ions, H+ , NH4+ , Sr 2+

Hydroxide, OH−

Soluble

Low SolubilityAll othersor

orAlkali ions, H+ , NH4

+

Sulphite, SO32−

Phosphate, PO43−

Carbonate, CO32−

Negative Ions(Anions)

Positive Ions(Cations)

Solubility ofCompounds

How to use the Solubility Table:Use your table to predict whether the following salts are soluble (S) or low solubility (LS) and whether they form a precipitate (ppt) in water.

1. Sodium hydroxide ______________________ 2. Ammonium acetate ______________________ 3. Calcium sulphate ______________________ 4. Lead (II) chloride ______________________ 5. Potassium chloride ______________________

6. Calcium bromide ______________________7. Potassium carbonate ______________________8. Aluminum sulphate ______________________9. Copper (II) chloride ______________________10. Copper (I) chloride ______________________

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Page 8: Book 2 : Types of Chemical Reactions & Energy in Reactions · Chemical Reactions Reactions, much like elements and compounds, can be classified according to type. The ability to recognize

Types of Chemical Reactions Worksheet

Part 3 – Classify each of the following reactions as a single replacement (SR) or double replacement (DR) reaction and then balance each equation.

Reaction Reaction type 21. _____ Li + _____ AlCl3 → _____ Al + _____ LiCl

22. _____ Zn + _____ SnF4 → _____ Sn + _____ ZnF2

23. _____ FeBr2 + _____ ZnSO4 → _____ ZnBr2 + _____ FeSO4

24. _____ NH4OH + _____ H2CO3 → _____ H2O + _____ (NH4)2CO3

25. _____ Au(CN)3 + _____ Zn → _____ Au + _____ Zn(CN)2

26. _____ FeBr3 + _____ Zn → _____ ZnBr2 + _____ Fe

27. _____ Ni + _____ HCl → _____ NiCl2 + _____ H2

28. _____ FeCl3 + _____ Na2SO3 → _____ NaCl + _____ Fe2(SO3)3

29. _____ Al2(SO4)3 + _____ Na3PO4 → _____ Na2SO4 + _____ AlPO4

30. _____ Al + _____ Fe2O3 → _____ Fe + _____ Al2O3

31. _____ (NH4)2S + _____ Mn(NO3)2 → _____ NH4NO3 + _____ MnS

32. _____ H3PO4 + _____ Cu(OH)2 → _____ H2O + _____ Cu3(PO4)2

Part 4 – Complete the following single and double replacement reactions. Add phases and balance!

33. _____ PbCl4 + _____ Al →

34. _____ Na + _____ Cu2O →

35. _____ CaS + _____ NaOH →

36. _____ CuF2 + _____ Mg →

37. _____ K3PO4 +_____ MgI2 →

38. _____ SrCl2 + _____ Pb(NO3)2 →

39. _____ Cl2 + _____ CsBr →

40. _____ AlCl3 + _____ CuNO3 →

Assignment #6: Types of Chemical Reactions Worksheet Part 3& 4Complete this assignment in this booklet! Show all working out!

Zukowski 7

Page 9: Book 2 : Types of Chemical Reactions & Energy in Reactions · Chemical Reactions Reactions, much like elements and compounds, can be classified according to type. The ability to recognize

• The salt is composed of the ______________ fromthe base and the ____________ from the acid.

• The hydrogen ion from the acid and thehydroxide ion from the base combine to form_____________.

• Evidence of chemical change is less obvious duringa neutralization reaction, although h__________ is often release.d

Example:

H2SO4(aq) + 2 KOH(aq) ➝ K2SO4(aq) + 2 H2O(l) + heat

• Some products of double replacement reactions are not very stable and spontaneously decompose to formwater and a gas.

• Carbonic acid decomposes : _____________________________________________________________________• Ammonium hydroxide decomposes:______________________________________________________________

2. Neutralization

Practice Question:Suppose you wanted to make a saturated solution of PbI2. One way you could do this is to dissolve (dissociate) PbI2 in water (making Pb2+

(aq) and I(aq)) until no more will dissolve and you have excess PbI2(s) on the bottom.

Another way is to mix one solution that has Pb2+(aq) ions to another solution that has

I-(aq) ions….

WATCH THIS:http://www.mhhe.com/physsci/chemistry/animations/chang_7e_esp/crm3s2_3.swf

Let`s suppose you decided to mix equal volumes of two soluble salt solutions together:

such as 0.20M KI(aq) with 0.20M Pb(NO3)2(aq)

KI(aq) is actually _______and _______Pb(NO3)2 (aq) is actually ___________and __________

By mixing, you`ve introduced Pb2+ to I- and also K+ to NO3-.

If either of these combinations are `l_____ s____________` together, they will be 'oversaturated' and p_______________ out of solution (form a solid). The precipitate will be:____________________creating a saturated solution of PbI2. In this case, K+ and NO3

- are ‘________________________’, meaning they do not participate directly in the reaction.

K2CO3(aq) + 2 HCl(aq) ➝ 2 KCl(aq) + H2O(l) + CO2(g)

If CO2 gas is a product, after an acid is added, it is likely that the reactant compound contained __________________________If NH3 gas is a product, following addition of a base to a compound it is likely that the reactant compound contained________

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Page 10: Book 2 : Types of Chemical Reactions & Energy in Reactions · Chemical Reactions Reactions, much like elements and compounds, can be classified according to type. The ability to recognize

Combustion Reactions

Combustion reactions are ______________________________and release a significant amount of energy in the form of ______________, ______________, and even ______________.

Generally the combustion is rapid and involves the burning of an _____________________________________in atmospheric oxygen.

Water will be released as v___________________.

The combustion of a variety of _________________________such as propane, fuel oil, and natural gas provides most of the energy for our homes.

The following combustion of octane in gasoline provides the energy to move most of our vehicles:

2 C8H18(l) + 25 O2(g) ➝ 16 CO2(g) + 18 H2O(g)

Slow combustion, sometimes referred to simply as oxidation, occurs in the cells of our body to produce energy.

One of the most common examples is this reaction of the simple sugar glucose with oxygen:

C6H12O6(s) + 6 O2(g) ➝ 6 CO2(g) + 6 H2O(l)

A combustion reaction

When predicting products, there are two possible cases:

a) If hydrocarbon only contains C, H (and possibly O), then products are just CO2 and

H2O. Example: C5H12O + O2 →

b) If S is also present, then _________________ , _____ , is produced along with CO2 & H2O.

Example: C6H15S + O2 →

Sulfur-containing hydrocarbons are said to be “dirty hydrocarbons” because their combustionreleases_____; one of the major chemical species that produces _______ _______, which is harmfulto the environment and damages manmade structures, too.Zukowski 9

Page 11: Book 2 : Types of Chemical Reactions & Energy in Reactions · Chemical Reactions Reactions, much like elements and compounds, can be classified according to type. The ability to recognize

Part 5 – Identify each of the following reactions as synthesis (S), decomposition (D), single replacement (SR), double replacement (DR), acid-base neutralization (N), or combustion (C), and balance the equation.

Reaction Reaction type

41. ____ S8 + ____ O2 → ____ SO3

42. ____ (NH4)2CO3 + ____ Ca(NO3)2 → ____ NH4NO3 +____ CaCO3

43. ____ N2 + ____ Zn → ____ Zn3N2

44. ____ C4H8 + ____ O2 → ____ CO2 + ____ H2O

45. ____ Pb(NO3)2 + ____ KI → ____ PbI2 + ____ KNO3

46. ____ Zn + ____ HCl → ____ ZnCl2 + ____ H2

47. ____ H2SO4 + ____ NaOH → ____ Na2SO4 + ____ H2O

48. ____ HF → ____ H2 + ____ F2

49. ____ Au(NO3)3 + ____ Cu → ____ Au + ____ Cu(NO3)2

Part 6 – Complete and balance the following reactions. Add phases.

50. _____ Na + _____ N2 →

51. _____ AlF3 →

52. _____ CuSO4 + _____ Al →

53. _____ CaI2 + _____ Pb(NO3)2 →

54. _____ C4H10 + _____ O2 →

55. _____ HCl + _____ NaOH →

Assignment #7: Types of Chemical Reactions Worksheet Part 5-8Complete this assignment in this booklet! Show all working out!

Zukowski 10

Page 12: Book 2 : Types of Chemical Reactions & Energy in Reactions · Chemical Reactions Reactions, much like elements and compounds, can be classified according to type. The ability to recognize

Part 7 – Identify which reaction type or types match the following descriptions:

56. There is only one reactant. _________________________________

57. There is only one product. _________________________________

58. The reactants are an acid and a base. _________________________________

59. The products are an element and a compound. _________________________________

60. The products are carbon dioxide and water. _________________________________

61. Both reactants are compounds. _________________________________

62. One reactant is an element. The other is a compound. _________________________________

Part 8 – Write a balanced equation for each of the following reactions. Include phases!

63. sodium + oxygen → ?

64. sodium sulfate + calcium chloride → ?

65. propane (C3H8) + oxygen → ?

66. sulfuric acid + potassium hydroxide → ?

67. ? → aluminum + chlorine

68. ? → cadmium nitrate + rubidium

69. ? → potassium chloride

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Page 13: Book 2 : Types of Chemical Reactions & Energy in Reactions · Chemical Reactions Reactions, much like elements and compounds, can be classified according to type. The ability to recognize

Almost all energy on which we rely comes from chemical reactions. Energy is released from our food, from fuels for heating and transportation, and when the chemical reactions in batteries power our portable devices.

In any chemical reaction: 1. ______________________________________________________2. ______________________________________________________

As you know from Science 10, there are two kinds of energy changes in chemical reactions:

• In an endothermic reaction, energy is absorbed by the system from

the surroundings.

• In an exothermic reaction, energy is released from the system to the

surroundings.

The Energy of Chemical Bonds

Chemists experiment on chemical systems containing reactants and products which exchange energy with the surroundings - the container and the rest of the universe.

The First Law of Thermodynamics states that: _____________________________________________________________________________________________

This simple statement means that any energy lost by a system must simultaneously be gained by the surroundings (or vice versa).

Endothermic reactions: Heat is absorbed.1) _______________________________: Plants absorb heat energy from sunlight to convert carbon dioxide and waterinto glucose and oxygen.2) _______________________________: Heat energy is absorbed from the pan to cook the egg.

Exothermic reactions: Heat is released.1) __________________________: The burning of carbon-containing compounds uses oxygen, from air, and producescarbon dioxide, water, and lots of heat. For example,

BOND ENERGYAll molecules and compounds posses b_________ energy. This chemical potential energy is the energy of ____________molecular bonds. These are bonds that are formed _______________________atoms within a molecule. Weaker bonds exist between molecules in a sample of solid, liquid, and even gaseous matter. These weak bonds hold the molecules of a solid or liquid t_____________________. These weak interactions between molecules are called _________________molecular forces.

• The details of intermolecular forces relate to the polarity or lack of polarity of a molecule.• The difference between the potential bond energy of reactants and products before and after a chemical or

physical change is known as the ____________________change or___________value.

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Page 14: Book 2 : Types of Chemical Reactions & Energy in Reactions · Chemical Reactions Reactions, much like elements and compounds, can be classified according to type. The ability to recognize

Why is heat released or absorbed in a chemical reaction?In any chemical reaction, chemical bonds are either broken or formed. Rule of thumb is:

"When chemical bonds are formed, heat is released, and when chemical bonds are broken, heat is absorbed."

Molecules want to stay together, so formation of chemical bonds between molecules requires ___________________ as compared to breaking bonds between molecules, which requires ________________________and results in heat being absorbed from the surroundings.

1. Energy is __________________ to break the bonds between the atoms in the reactants.

… and immediately afterward …

2. Energy is ________________as the new bonds form between the atoms in the products.

Summarizing:

Bond breaking is always endothermic.

Bond forming is always exothermic.

Endothermic Reaction: Total energy absorbed in bond breaking > Total energy released during bond forming.

Exothermic Reaction: Total energy absorbed in bond breaking < Total energy released during bond forming.

The reaction is either endothermic or exothermic

depending on which of these is greater.

Enthalpy ΔH

The amount of energy stored in the bonds of the reactants or products in a system is called the _______________ (H) (from the Greek word enthalpein meaning “to warm”).

Since energy will either be lost or gained by the system during a reaction, the value of H will ___________________ _____________________________________between the reactants and the products. In other words, there is a change in energy.• In an endothermic reaction, more energy will be stored in the products than in the reactants: _____________

__________________________________________________________________________________________

• In an exothermic reaction, less energy will be stored in the products than in the reactants: ______________________________________________________________________________________________________

We can never really know the internal energy in a system but we can measure the change in this energy.

This change in energy is represented by ΔH where: ∆H = H products – H reactants

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Page 15: Book 2 : Types of Chemical Reactions & Energy in Reactions · Chemical Reactions Reactions, much like elements and compounds, can be classified according to type. The ability to recognize

Potential Energy DiagramsIn a chemical reaction, some bonds are broken and some bonds are formed. During the reaction, there is an intermediate stage, where chemical bonds are ______________________ broken and partially formed. This intermediate exists at a ________________________energy level than the starting reactants; it is very ____________ and is referred to as the _____________________________________________. The energy required to reach this transition state is called ______________________________________________(_____)

We can define activation energy as: _______________________________________________________ _______________________________________________________ _______________________________________________________

An energy diagram shows the relative potential energies of reactants, transition states, and products as a reaction progresses.

Can calculate the EA and ΔH for any reaction from its potential energy diagram.

The activation energy (EA) is the ________________________in the energy between the transition state and the reactants. The enthalpy change (ΔH) is the ________________________in the energy between the reactants and the products.

• The reactants are at a lower energy levelcompared to the products

• The products are less stable than thereactants.

• forcing the reaction in the forwarddirection towards more unstable species

• overall ΔH for the reaction is positive,• energy is absorbed from the surroundings.

Endothermic Reaction

Exothermic Reaction

• The reactants are at a higher energylevel compared to the products

• The products are more stable than thereactants.

• Overall ΔH for the reaction is negative• Energy is released in the form of heat.

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Page 16: Book 2 : Types of Chemical Reactions & Energy in Reactions · Chemical Reactions Reactions, much like elements and compounds, can be classified according to type. The ability to recognize

Enthalpy has units of _________________ (J)

Balanced reaction equations that include the enthalpy change are known as thermochemical equations.

Enthalpy is an extensive property (the energy lost or gained depends on reactant amounts)

There are two ways to write them, the first shown being the preferred way:

1. Writing the enthalpy change immediately after the equation - using the sign of ΔH to indicate whether

the change is endothermic or exothermic.

Exothermic Example: 2 C8H18 + 25 O2 16 CO2 + 18 H2O; ΔH = ______________

Endothermic Example: 6 CO2 + 6 H2O C6H12O6 + 6 O2; ΔH = ______________

2. Writing the heat term within the chemical equation - using the side to indicate whether the change is

endothermic or exothermic.

Exothermic Example: 2C8H18 + 25O2 16 CO2 + 18 H2O + ____________

Endothermic Example: 6 CO2 + 6 H2O + ____________ C6H12O6 + 6 O2

Representing Energy Changes within Chemical Reaction Equations

This form distinguishes

exothermic from endothermic by the side the heat te rm

is written on.

This form distinguishes

exothermic from endothermic by heat term sign

Assignment #8: Exercises # 68-80Complete ALL assignments on a separate piece of paper and attach to your booklet when handing in at the end of the unit. Be sure to clearly number each assignment with a heading.

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