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Equilibrium Equilibrium Chapter 13 Chapter 13

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Equilibrium. Chapter 13. The Concept of Equilibrium. Chemical equilibrium occurs when a reaction and its reverse reaction proceed at the same rate. The Concept of Equilibrium. As a system approaches equilibrium, both the forward and reverse reactions are occurring. - PowerPoint PPT Presentation

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Page 1: Equilibrium

EquilibriumEquilibrium

Chapter 13Chapter 13

Page 2: Equilibrium

The Concept of EquilibriumThe Concept of Equilibrium

Chemical equilibrium occurs when a Chemical equilibrium occurs when a reaction and its reverse reaction reaction and its reverse reaction proceed at the same rate.proceed at the same rate.

Page 3: Equilibrium

The Concept of EquilibriumThe Concept of Equilibrium As a system As a system

approaches approaches equilibrium, both the equilibrium, both the forward and reverse forward and reverse reactions are reactions are occurring.occurring.

At equilibrium, the At equilibrium, the forward and reverse forward and reverse reactions are reactions are proceeding proceeding at the at the same ratesame rate..

Page 4: Equilibrium

A System at EquilibriumA System at Equilibrium

Once equilibrium Once equilibrium is achieved, the is achieved, the amountamount of each of each reactant and reactant and product remains product remains constant.constant.

Page 5: Equilibrium

Depicting EquilibriumDepicting Equilibrium

Since, in a system at equilibrium, both Since, in a system at equilibrium, both the forward and reverse reactions are the forward and reverse reactions are being carried out, we write its being carried out, we write its equation with a double arrow.equation with a double arrow.

N2O4 (g) 2 NO2 (g)

Page 6: Equilibrium

The Equilibrium ConstantThe Equilibrium Constant

Forward reaction:Forward reaction:NN22OO4 (g)4 (g) 2 NO 2 NO2 (g)2 (g)

Rate Law:Rate Law:Rate = Rate = kkff [N [N22OO44]]

Page 7: Equilibrium

The Equilibrium ConstantThe Equilibrium Constant

Reverse reaction:Reverse reaction:2 NO2 NO2 (g)2 (g) N N22OO4 (g)4 (g)

Rate Law:Rate Law:Rate = Rate = kkrr [NO [NO22]]22

Page 8: Equilibrium

The Equilibrium ConstantThe Equilibrium Constant

Therefore, at equilibriumTherefore, at equilibrium

RateRateff = Rate = Raterr

kkff [N [N22OO44] = ] = kkrr [NO [NO22]]22

Rewriting this, it becomesRewriting this, it becomes

kfkr

[NO2]2

[N2O4]=

Page 9: Equilibrium

The Equilibrium ConstantThe Equilibrium Constant

The ratio of the rate constants is a The ratio of the rate constants is a constant at that temperature, and constant at that temperature, and the expression becomesthe expression becomes

Keq =kfkr

[NO2]2

[N2O4]=

Page 10: Equilibrium

The Equilibrium ConstantThe Equilibrium Constant

Consider the generalized reactionConsider the generalized reaction

The equilibrium expression for this The equilibrium expression for this reaction would bereaction would be

Kc = [C]c[D]d

[A]a[B]b

aA + bB cC + dD

Page 11: Equilibrium

The Equilibrium ConstantThe Equilibrium Constant

Since pressure is proportional to Since pressure is proportional to concentration for gases in a closed concentration for gases in a closed system, the equilibrium expression system, the equilibrium expression can also be writtencan also be written

Kp =(PC

c) (PDd)

(PAa) (PB

b)

Page 12: Equilibrium

Relationship Between Relationship Between KKcc and and KKpp

From the Ideal Gas Law we know thatFrom the Ideal Gas Law we know that

Rearranging it, we getRearranging it, we get

PV = nRT

P = RTnV

Page 13: Equilibrium

Relationship Between Relationship Between KKcc and and KKpp

Plugging this into the expression for Plugging this into the expression for KKpp for each substance, the relationship for each substance, the relationship between between KKcc and and KKpp becomes becomes

wherewhere

Kp = Kc (RT)n

n = (moles of gaseous product) - (moles of gaseous reactant)

Page 14: Equilibrium

Equilibrium Can Be Reached Equilibrium Can Be Reached from Either Directionfrom Either Direction

As you can see, the ratio of [NOAs you can see, the ratio of [NO22]]22 to [N to [N22OO44] ] remains constant at this temperature no matter remains constant at this temperature no matter what the initial concentrations of NOwhat the initial concentrations of NO22 and N and N22OO44 are. are.

Page 15: Equilibrium

Equilibrium Can Be Reached Equilibrium Can Be Reached from Either Directionfrom Either Direction

This is the data This is the data from the last two from the last two trials from the table trials from the table on the previous on the previous slide.slide.

Page 16: Equilibrium

Equilibrium Can Be Reached Equilibrium Can Be Reached from Either Directionfrom Either Direction

It doesn’t matter whether we start with NIt doesn’t matter whether we start with N22 and Hand H22 or whether we start with NH or whether we start with NH33: we : we will have the same proportions of all three will have the same proportions of all three substances at equilibrium.substances at equilibrium.

Page 17: Equilibrium

What Does the Value of What Does the Value of KK Mean?Mean?

If If KK>>1, the reaction >>1, the reaction is is product-favoredproduct-favored; ; product predominates product predominates at equilibrium.at equilibrium.

Page 18: Equilibrium

What Does the Value of What Does the Value of KK Mean?Mean?

If If KK>>1, the reaction >>1, the reaction is is product-favoredproduct-favored; ; product predominates product predominates at equilibrium.at equilibrium.

If If KK<<1, the reaction is <<1, the reaction is reactant-favoredreactant-favored; ; reactant predominates reactant predominates at equilibrium.at equilibrium.

Page 19: Equilibrium

Manipulating Equilibrium Manipulating Equilibrium ConstantsConstants

The equilibrium constant of a The equilibrium constant of a reaction in the reverse reaction is reaction in the reverse reaction is the reciprocal of the equilibrium the reciprocal of the equilibrium constant of the forward reaction.constant of the forward reaction.

Kc = = 0.212 at 100 C[NO2]2

[N2O4]N2O4 (g)

QuickTime™ and aPhoto - JPEG decompressor

are needed to see this picture. 2 NO2 (g)

Kc = = 4.72 at 100 C[N2O4][NO2]2

N2O4 (g)

QuickTime™ and aPhoto - JPEG decompressor

are needed to see this picture.2 NO2 (g)

Page 20: Equilibrium

Manipulating Equilibrium Manipulating Equilibrium ConstantsConstants

The equilibrium constant of a reaction The equilibrium constant of a reaction that has been multiplied by a number is that has been multiplied by a number is the equilibrium constant raised to a the equilibrium constant raised to a power that is equal to that number.power that is equal to that number.

Kc = = 0.212 at 100 C[NO2]2

[N2O4]N2O4(g)

QuickTime™ and aPhoto - JPEG decompressor

are needed to see this picture. 2 NO2(g)

Kc = = (0.212)2 at 100 C[NO2]4

[N2O4]22 N2O4(g)

QuickTime™ and aPhoto - JPEG decompressor

are needed to see this picture. 4 NO2(g)

Page 21: Equilibrium

Manipulating Equilibrium Manipulating Equilibrium ConstantsConstants

The equilibrium constant for a net The equilibrium constant for a net reaction made up of two or more reaction made up of two or more steps is the product of the steps is the product of the equilibrium constants for the equilibrium constants for the individual steps.individual steps.