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Thermochemistry

Thermochemistry

Study of the transfer of energy in

Study of the transfer of energy in

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Heat and Temperature

Heat and Temperature

What’s the difference??

What’s the difference??

Temperature (C0): measures the average kinetic

energy of particles.

(3)

Heat

Heat

Heat (Q): Q= m ∆t Cp

(Total Thermal Energy of a system) Instrument: calorimeter p.519

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Heat of Reaction (∆H)

Heat of Reaction (∆H)

The net energy released or absorbed in a

The net energy released or absorbed in a

chemical reaction.

chemical reaction.

Thermochemical equation

Thermochemical equation

: includes the

: includes the

amount of energy released/absorbed.

amount of energy released/absorbed.

Write the thermochemical equation of the

Write the thermochemical equation of the

formation of water if 483.6 kJ of energy are

formation of water if 483.6 kJ of energy are

produced from 2 moles of hydrogen.

produced from 2 moles of hydrogen.

2H

2H22 (g) + O (g) + O22 (g) (g)  2H 2H22O (l) + 486.3 kJ (exo)O (l) + 486.3 kJ (exo) Always include states of matter!

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Enthalpy (heat) Changes (

Enthalpy (heat) Changes (

Δ

Δ

H)

H)

The amount of energy absorbed or lost by a system.

The amount of energy absorbed or lost by a system.

How to calculate

How to calculate

Δ

Δ

H:

H:

A)

A)

from a graph

from a graph

:

:

Heat

Heat

productsproducts

– Heat

– Heat

reactantsreactants

If

If ΔΔH = negative: exothermic (Energy Lost)H = negative: exothermic (Energy Lost) If

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B)

∆H can be calculated using:

Hess’s Law :The overall ΔH is equal to the sum of the ΔH for individual steps.

Molar heat of formation: ∆Hf is the net heat released or absorbed when one mole of a compound is formed by the combination of its elements. (synthesis)

∆Hf values (Appendix A-14) are based on one mole of product. -∆Hf indicates a stable compound.

Molar heat of combustion: ∆Hc is the heat released by the complete combustion of one mole of a substance.

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Calculate the

Calculate the

Δ

Δ

H

H

rxnrxn

for:

for:

2SO

2SO

22

+ O

+ O

22

2SO

2SO

33

Equation must be balanced.

Equation must be balanced.

Table A-14 (

Table A-14 (

Δ

Δ

H

H

ff

)

)

Δ

Δ

H

H

ff

SO

SO

2 2

= (-296.8)kJ/mol

= (-296.8)kJ/mol

Δ

Δ

H

H

ff

SO

SO

3 3

= (-395.7)kJ/mol

= (-395.7)kJ/mol

H

H

rxnrxn

= (∆H

= (∆H

ff

products – (∆H

products – (∆H

f f

reactants)

reactants)

(-791.4) - (-593.6)

(-791.4) - (-593.6)

Multiply both SO2 and SO3 by 2 because we have 2 moles of each.

-593.6 kJ -791.4 kJ

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Sample problems(continued)

Sample problems(continued)

2) Calculate the heat of reaction for:2) Calculate the heat of reaction for:

 2 H2 H22OO22 2H 2H22O + OO + O22ꜛꜛ (must be balanced) (must be balanced)  Find ∆HFind ∆Hff table A-14 table A-14

 ∆∆HHff H H22OO22 (-187.8 kJ/mol) (2) = (-187.8 kJ/mol) (2) = -375.6 kJ-375.6 kJ  ∆∆HHff O O22 (0.00 kJ/mol) (0.00 kJ/mol)

 ∆∆HHff H H22O (-285.8 kJ/mol) (2) = O (-285.8 kJ/mol) (2) = -571.6 kJ-571.6 kJ∆∆HHrxnrxn = ∆H = ∆Hff products - ∆H products - ∆Hf f reactantsreactants

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 Calculating ∆H from Calculating ∆H from ∆H∆Hcc values.values.

 1. Calculate the heat of formation for:1. Calculate the heat of formation for:

 CC(s)(s) + 2H + 2H2(g)2(g) CH CH4(g) 4(g)

 Make sure the equation is balanced.Make sure the equation is balanced.

 Use Use ∆H∆Hc c values of C, Hvalues of C, H22 and methane (tbl. A-5) and methane (tbl. A-5)  NOTE:NOTE: ∆H∆Hc c values are based on one mole ofvalues are based on one mole of

REACTANTREACTANT. . Therefore:Therefore: ∆

∆HHff = ∆H = ∆Hcc of of REACTANTSREACTANTS – (∆H – (∆Hcc PRODUCTS) PRODUCTS)

C = -393.5 kJ/mol CH4 = -890.8 kJ/mol

H = (-285.8 kJ) (2)

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17.2 Two

17.2 Two Driving Forces Driving Forces of Reactions…Allow one to of Reactions…Allow one to predict if a reaction will occur spontaneously.

predict if a reaction will occur spontaneously.

Enthalpy Enthalpy ((ΔΔH)H):: exothermic reactions favored (- exothermic reactions favored

(-∆H) (products at

∆H) (products at lowerlower energy) energy)

Entropy Entropy ((ΔΔS)S):: measures disorder of a system. measures disorder of a system.

(+∆S)

(+∆S)High disorderHigh disorder favored. favored.

 What does high disorder look like? What does high disorder look like? Increase Increase

in randomness (disorder): in randomness (disorder):

 Solid to liquid to gasSolid to liquid to gas

 Lesser # particles to greater #particlesLesser # particles to greater #particles

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Possible reactions

Possible reactions: RESULTS:: RESULTS: 1. Exothermic and Entropy increase GO

2. Endothermic and Entropy decrease NO GO 3. Exothermic and Entropy decrease ?

4. Endothermic and Entropy increase ?

#3 & #4 may or may not “Go” depending on which of the two driving forces is dominant .

#3 example: water freezes. In this case, enthalpy(∆H) is the dominant factor.

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Gibb’s Free Energy (G)

Gibb’s Free Energy (G)

Predicts whether ∆H or ∆S will dominate in a reaction

Predicts whether ∆H or ∆S will dominate in a reaction

Natural processes proceed in the direction

Natural processes proceed in the direction

that lowers the free energy (G) of a system.

that lowers the free energy (G) of a system.

Only

Only

Δ

Δ

G can be measured:

G can be measured:

∆G=∆H-(T∆S)

∆G=∆H-(T∆S)

… Predicts whether a reaction will be Predicts whether a reaction will be spontaneous (at constant T & P).

spontaneous (at constant T & P).

Negative ΔG = spontaneous reaction

Negative ΔG = spontaneous reaction 

Positive ΔG = nonspontaneous reaction

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Sample problem: Sample problem:

Calculate the free energy change for the following reaction at

250 C:

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

Data: ∆H = -411.6 kJ ∆S = 31.8 J/mol.K

∆G = ∆H – (T∆S)

-411.6 - (298 x .0318 kJ/mol.K)

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Summary

Summary

Favorable conditions for a spontaneous reaction:

 Free Energy (ΔG) = Negative

 Enthalpy (ΔH) = Negative

 Entropy (ΔS) = Positive

When enthalpy and entropy are at odds,

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17.3 The Reaction Process

17.3 The Reaction Process

Collision Theory

Collision Theory

: Explanation of reactions

: Explanation of reactions

as a result of collisions.

as a result of collisions.

– Particles must collideParticles must collide

– Particles must collide in the Particles must collide in the correct spatial orientation

correct spatial orientation

– Collision must be energetic Collision must be energetic enough to disrupt bonds

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Reaction Pathways

Reaction Pathways

Activation Energy

Activation Energy

: minimum energy

: minimum energy

required to transform reactants

required to transform reactants

activated

activated

complex.

complex.

Activated Complex

Activated Complex

: transitional structure

: transitional structure

formed from an effective collision.

formed from an effective collision.

A= Energy of Reactants B= Activation Energy

C= Energy of Activated Complex D= Energy of Products

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17.4 Reaction Rates and Kinetics

17.4 Reaction Rates and Kinetics

Rate-Influencing Factors

Rate-Influencing Factors

: Anything that will

: Anything that will

influence collision frequency and/or efficiency.

influence collision frequency and/or efficiency.

– Nature of ReactantsNature of Reactants

– Surface Area (increased surface area)Surface Area (increased surface area)

– Temperature (increased temperature)Temperature (increased temperature)

– Concentration (increased conc. of reactants)Concentration (increased conc. of reactants)

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Rate Laws

Rate Laws

…Relate reaction rate to the [concentration] of

…Relate reaction rate to the [concentration] of

reactants, at a given temperature.

reactants, at a given temperature.

As concentration increases, rate increases.

As concentration increases, rate increases.

1)

1)Elementary Reactions Elementary Reactions (single step)(single step)

2A + 3B A2A + 3B A22BB33

Rate Law: R = k[A]Rate Law: R = k[A]22 [B] [B]3 3

3D E + F3D E + F

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2)

2) Multi-step ReactionsMulti-step Reactions

Rate is determined from the slowest step. example:

Net equation: NO2 + CO NO + CO2

step 1: 2NO2 NO3 + NO (slow)

step 2: NO3 + CO NO2 + CO2 (fast)

Rate Law?

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Rate law determination

Rate law determination

by experimental data

by experimental data

:

:

In a one step reaction:

•Doubling [A]: the rate increases by 2X •Doubling [B]: the rate increases by 4X

•Reduce [B] to 1/3: the rate decreases to 1/9 What is the rate law?

References

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