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Thermochemistry 
Chemistry, The Central Science, 10th edition 
Theodore L. Brown; H. Eugene LeMay, Jr.; 
and Bruce E. Bursten 
Chapter 5 
Thermochemistry 
John D. Bookstaver 
St. Charles Community College 
St. Peters, MO 
ã 2006, Prentice Hall, Inc.
Thermochemistry 
Energy 
• The ability to do work or transfer heat. 
Work: Energy used to cause an object that 
has mass to move. 
Heat: Energy used to cause the 
temperature of an object to rise.
Thermochemistry 
Potential Energy 
Energy an object possesses by virtue of its 
position or chemical composition.
Thermochemistry 
Kinetic Energy 
Energy an object possesses by virtue of its 
motion. 
12 
KE = ¾ mv2
Thermochemistry 
Units of Energy 
• The SI unit of energy is the joule (J). 
1 J = 1 ¾¾ 
• An older, non-SI unit is still in 
widespread use: The calorie (cal). 
1 cal = 4.184 J 
kg m2 
s2
Thermochemistry 
System and Surroundings 
• The system includes 
the molecules we want 
to study (here, the 
hydrogen and oxygen 
molecules). 
• The surroundings are 
everything else (here, 
the cylinder and 
piston).
Thermochemistry 
Work 
• Energy used to 
move an object over 
some distance. 
• w = F  d, 
where w is work, F 
is the force, and d is 
the distance over 
which the force is 
exerted.
Thermochemistry 
Heat 
• Energy can also be 
transferred as heat. 
• Heat flows from 
warmer objects to 
cooler objects.
Thermochemistry 
Transferal of Energy 
a) The potential energy of this ball of 
clay is increased when it is moved 
from the ground to the top of the wall.
Thermochemistry 
Transferal of Energy 
a) The potential energy of this ball of 
clay is increased when it is moved 
from the ground to the top of the wall. 
b) As the ball falls, its potential energy is 
converted to kinetic energy.
Thermochemistry 
Transferal of Energy 
a) The potential energy of this ball of 
clay is increased when it is moved 
from the ground to the top of the wall. 
b) As the ball falls, its potential energy is 
converted to kinetic energy. 
c) When it hits the ground, its kinetic 
energy falls to zero (since it is no 
longer moving); some of the energy 
does work on the ball, the rest is 
dissipated as heat.
First Law of Thermodynamics 
• Energy is neither created nor destroyed. 
• In other words, the total energy of the universe is 
a constant; if the system loses energy, it must be 
gained by the surroundings, and vice versa. 
Thermochemistry 
Use Fig. 5.5
Thermochemistry 
Internal Energy 
The internal energy of a system is the sum of all 
kinetic and potential energies of all components 
of the system; we call it E. 
Use Fig. 5.5
Thermochemistry 
Internal Energy 
By definition, the change in internal energy, DE, 
is the final energy of the system minus the initial 
energy of the system: 
DE = Efinal − Einitial 
Use Fig. 5.5
Changes in Internal Energy 
• If DE > 0, Efinal > Einitial 
Therefore, the system 
absorbed energy from 
the surroundings. 
This energy change is 
called endergonic. 
Thermochemistry
Changes in Internal Energy 
• If DE < 0, Efinal < Einitial 
Therefore, the system 
released energy to the 
surroundings. 
This energy change is 
called exergonic. 
Thermochemistry
Changes in Internal Energy 
• When energy is 
exchanged between 
the system and the 
surroundings, it is 
exchanged as either 
heat (q) or work (w). 
• That is, DE = q + w. 
Thermochemistry
Thermochemistry 
DE, q, w, and Their Signs
Exchange of Heat between 
System and Surroundings 
• When heat is absorbed by the system from 
the surroundings, the process is endothermic. 
Thermochemistry
Exchange of Heat between 
System and Surroundings 
• When heat is absorbed by the system from 
the surroundings, the process is endothermic. 
• When heat is released by the system to the 
surroundings, the process is exothermic. 
Thermochemistry
Thermochemistry 
State Functions 
Usually we have no way of knowing the 
internal energy of a system; finding that value 
is simply too complex a problem.
Thermochemistry 
State Functions 
• However, we do know that the internal energy 
of a system is independent of the path by 
which the system achieved that state. 
In the system below, the water could have reached 
room temperature from either direction.
Thermochemistry 
State Functions 
• Therefore, internal energy is a state function. 
• It depends only on the present state of the 
system, not on the path by which the system 
arrived at that state. 
• And so, DE depends only on Einitial and Efinal.
Thermochemistry 
State Functions 
• However, q and w are 
not state functions. 
• Whether the battery is 
shorted out or is 
discharged by running 
the fan, its DE is the 
same. 
But q and w are different 
in the two cases.
Thermochemistry 
Work 
When a process 
occurs in an open 
container, commonly 
the only work done is a 
change in volume of a 
gas pushing on the 
surroundings (or being 
pushed on by the 
surroundings).
Thermochemistry 
Work 
We can measure the work done by the gas if 
the reaction is done in a vessel that has been 
fitted with a piston. 
w = −PDV
Thermochemistry 
Enthalpy 
• If a process takes place at constant 
pressure (as the majority of processes we 
study do) and the only work done is this 
pressure-volume work, we can account 
for heat flow during the process by 
measuring the enthalpy of the system. 
• Enthalpy is the internal energy plus the 
product of pressure and volume: 
H = E + PV
Thermochemistry 
Enthalpy 
• When the system changes at constant 
pressure, the change in enthalpy, DH, is 
DH = D(E + PV) 
• This can be written 
DH = DE + PDV
Thermochemistry 
Enthalpy 
• Since DE = q + w and w = −PDV, we 
can substitute these into the enthalpy 
expression: 
DH = DE + PDV 
DH = (q+w) − w 
DH = q 
• So, at constant pressure the change in 
enthalpy is the heat gained or lost.
Thermochemistry 
Endothermicity and 
Exothermicity 
• A process is 
endothermic, then, 
when DH is 
positive.
Thermochemistry 
Endothermicity and 
Exothermicity 
• A process is 
endothermic when 
DH is positive. 
• A process is 
exothermic when 
DH is negative.
Thermochemistry 
Enthalpies of Reaction 
The change in 
enthalpy, DH, is the 
enthalpy of the 
products minus the 
enthalpy of the 
reactants: 
DH = Hproducts − Hreactants
Thermochemistry 
Enthalpies of Reaction 
This quantity, DH, is called the enthalpy of 
reaction, or the heat of reaction.
Thermochemistry 
The Truth about Enthalpy 
1. Enthalpy is an extensive property. 
2. DH for a reaction in the forward 
direction is equal in size, but opposite 
in sign, to DH for the reverse reaction. 
3. DH for a reaction depends on the state 
of the products and the state of the 
reactants.
Thermochemistry 
Calorimetry 
Since we cannot 
know the exact 
enthalpy of the 
reactants and 
products, we 
measure DH through 
calorimetry, the 
measurement of 
heat flow.
Heat Capacity and Specific Heat 
• The amount of energy required to raise 
the temperature of a substance by 1 K 
(1°C) is its heat capacity. 
• We define specific heat capacity (or 
simply specific heat) as the amount of 
energy required to raise the temperature 
of 1 g of a substance by 1 K. 
Thermochemistry
Heat Capacity and Specific Heat 
Thermochemistry 
Specific heat, then, is 
Specific heat = 
heat transferred 
mass ´ temperature change 
s = 
q 
m ´ DT
Constant Pressure Calorimetry 
By carrying out a 
reaction in aqueous 
solution in a simple 
calorimeter such as this 
one, one can indirectly 
measure the heat 
change for the system 
by measuring the heat 
change for the water in 
the calorimeter. 
Thermochemistry
Constant Pressure Calorimetry 
Because the specific 
heat for water is well 
known (4.184 J/mol-K), 
we can measure DH for 
the reaction with this 
equation: 
q = m ´ s ´ DT 
Thermochemistry
Thermochemistry 
Bomb Calorimetry 
Reactions can be 
carried out in a 
sealed “bomb,” such 
as this one, and 
measure the heat 
absorbed by the 
water.
Thermochemistry 
Bomb Calorimetry 
• Because the volume 
in the bomb 
calorimeter is 
constant, what is 
measured is really the 
change in internal 
energy, DE, not DH. 
• For most reactions, 
the difference is very 
small.
Thermochemistry 
Bomb Calorimetry
Thermochemistry 
Hess’s Law 
"DH is well known for many reactions, 
and it is inconvenient to measure DH 
for every reaction in which we are 
interested. 
• However, we can estimate DH using 
DH values that are published and the 
properties of enthalpy.
Thermochemistry 
Hess’s Law 
Hess’s law states that 
“If a reaction is carried 
out in a series of 
steps, DH for the 
overall reaction will be 
equal to the sum of 
the enthalpy changes 
for the individual 
steps.”
Thermochemistry 
Hess’s Law 
Because DH is a state 
function, the total 
enthalpy change 
depends only on the 
initial state of the 
reactants and the final 
state of the products.
Thermochemistry 
Enthalpies of Formation 
An enthalpy of formation, DHf, is defined 
as the enthalpy change for the reaction 
in which a compound is made from its 
constituent elements in their elemental 
forms.
Standard Enthalpies of Formation 
Standard enthalpies of formation, DHf, are 
measured under standard conditions (25°C 
and 1.00 atm pressure). 
Thermochemistry 
°
C3H8 (g) + 5 O2 (g) ¾® 3 CO2 (g) + 4 H2O (l) 
Thermochemistry 
Calculation of DH 
• Imagine this as occurring 
in 3 steps: 
C3H8 (g) ¾® 3 C(graphite) + 4 H2 (g) 
3 C(graphite) + 3 O2 (g) ¾® 3 CO2 (g) 
4 H2 (g) + 2 O2 (g) ¾® 4 H2O (l)
C3H8 (g) + 5 O2 (g) ¾® 3 CO2 (g) + 4 H2O (l) 
Thermochemistry 
Calculation of DH 
• Imagine this as occurring 
in 3 steps: 
C3H8 (g) ¾® 3 C(graphite) + 4 H2 (g) 
3 C(graphite) + 3 O2 (g) ¾® 3 CO2 (g) 
4 H2 (g) + 2 O2 (g) ¾® 4 H2O (l)
C3H8 (g) + 5 O2 (g) ¾® 3 CO2 (g) + 4 H2O (l) 
Thermochemistry 
Calculation of DH 
• Imagine this as occurring 
in 3 steps: 
C3H8 (g) ¾® 3 C(graphite) + 4 H2 (g) 
3 C(graphite) + 3 O2 (g) ¾® 3 CO2 (g) 
4 H2 (g) + 2 O2 (g) ¾® 4 H2O (l)
Calculation of DH 
C3H8 (g) + 5 O2 (g) ¾® 3 CO2 (g) + 4 H2O (l) 
Thermochemistry 
• The sum of these 
equations is: 
C3H8 (g) ¾® 3 C(graphite) + 4 H2 (g) 
3 C(graphite) + 3 O2 (g) ¾® 3 CO2 (g) 
4 H2 (g) + 2 O2 (g) ¾® 4 H2O (l) 
C3H8 (g) + 5 O2 (g) ¾® 3 CO2 (g) + 4 H2O (l)
Thermochemistry 
Calculation of DH 
We can use Hess’s law in this way: 
DH = S n DH° - S  Df(products) mH° 
f(reactants) 
where n and m are the stoichiometric 
coefficients.
C3H8 (g) + 5 O2 (g) ¾® 3 CO2 (g) + 4 H2O (l) 
Thermochemistry 
Calculation of DH 
     DH = [3(-393.5 kJ) + 4(-285.8 kJ)] - [1(-103.85 kJ) + 5(0 kJ)] 
= [(-1180.5 kJ) + (-1143.2 kJ)] - [(-103.85 kJ) + (0 kJ)] 
= (-2323.7 kJ) - (-103.85 kJ) 
= -2219.9 kJ
Thermochemistry 
Energy in Foods 
Most of the fuel in the 
food we eat comes 
from carbohydrates 
and fats.
Thermochemistry 
Fuels 
The vast majority 
of the energy 
consumed in this 
country comes 
from fossil fuels.

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Ch. 5 thermochemistry

  • 1. Thermochemistry Chemistry, The Central Science, 10th edition Theodore L. Brown; H. Eugene LeMay, Jr.; and Bruce E. Bursten Chapter 5 Thermochemistry John D. Bookstaver St. Charles Community College St. Peters, MO ã 2006, Prentice Hall, Inc.
  • 2. Thermochemistry Energy • The ability to do work or transfer heat. Work: Energy used to cause an object that has mass to move. Heat: Energy used to cause the temperature of an object to rise.
  • 3. Thermochemistry Potential Energy Energy an object possesses by virtue of its position or chemical composition.
  • 4. Thermochemistry Kinetic Energy Energy an object possesses by virtue of its motion. 12 KE = ¾ mv2
  • 5. Thermochemistry Units of Energy • The SI unit of energy is the joule (J). 1 J = 1 ¾¾ • An older, non-SI unit is still in widespread use: The calorie (cal). 1 cal = 4.184 J kg m2 s2
  • 6. Thermochemistry System and Surroundings • The system includes the molecules we want to study (here, the hydrogen and oxygen molecules). • The surroundings are everything else (here, the cylinder and piston).
  • 7. Thermochemistry Work • Energy used to move an object over some distance. • w = F  d, where w is work, F is the force, and d is the distance over which the force is exerted.
  • 8. Thermochemistry Heat • Energy can also be transferred as heat. • Heat flows from warmer objects to cooler objects.
  • 9. Thermochemistry Transferal of Energy a) The potential energy of this ball of clay is increased when it is moved from the ground to the top of the wall.
  • 10. Thermochemistry Transferal of Energy a) The potential energy of this ball of clay is increased when it is moved from the ground to the top of the wall. b) As the ball falls, its potential energy is converted to kinetic energy.
  • 11. Thermochemistry Transferal of Energy a) The potential energy of this ball of clay is increased when it is moved from the ground to the top of the wall. b) As the ball falls, its potential energy is converted to kinetic energy. c) When it hits the ground, its kinetic energy falls to zero (since it is no longer moving); some of the energy does work on the ball, the rest is dissipated as heat.
  • 12. First Law of Thermodynamics • Energy is neither created nor destroyed. • In other words, the total energy of the universe is a constant; if the system loses energy, it must be gained by the surroundings, and vice versa. Thermochemistry Use Fig. 5.5
  • 13. Thermochemistry Internal Energy The internal energy of a system is the sum of all kinetic and potential energies of all components of the system; we call it E. Use Fig. 5.5
  • 14. Thermochemistry Internal Energy By definition, the change in internal energy, DE, is the final energy of the system minus the initial energy of the system: DE = Efinal − Einitial Use Fig. 5.5
  • 15. Changes in Internal Energy • If DE > 0, Efinal > Einitial Therefore, the system absorbed energy from the surroundings. This energy change is called endergonic. Thermochemistry
  • 16. Changes in Internal Energy • If DE < 0, Efinal < Einitial Therefore, the system released energy to the surroundings. This energy change is called exergonic. Thermochemistry
  • 17. Changes in Internal Energy • When energy is exchanged between the system and the surroundings, it is exchanged as either heat (q) or work (w). • That is, DE = q + w. Thermochemistry
  • 18. Thermochemistry DE, q, w, and Their Signs
  • 19. Exchange of Heat between System and Surroundings • When heat is absorbed by the system from the surroundings, the process is endothermic. Thermochemistry
  • 20. Exchange of Heat between System and Surroundings • When heat is absorbed by the system from the surroundings, the process is endothermic. • When heat is released by the system to the surroundings, the process is exothermic. Thermochemistry
  • 21. Thermochemistry State Functions Usually we have no way of knowing the internal energy of a system; finding that value is simply too complex a problem.
  • 22. Thermochemistry State Functions • However, we do know that the internal energy of a system is independent of the path by which the system achieved that state. In the system below, the water could have reached room temperature from either direction.
  • 23. Thermochemistry State Functions • Therefore, internal energy is a state function. • It depends only on the present state of the system, not on the path by which the system arrived at that state. • And so, DE depends only on Einitial and Efinal.
  • 24. Thermochemistry State Functions • However, q and w are not state functions. • Whether the battery is shorted out or is discharged by running the fan, its DE is the same. But q and w are different in the two cases.
  • 25. Thermochemistry Work When a process occurs in an open container, commonly the only work done is a change in volume of a gas pushing on the surroundings (or being pushed on by the surroundings).
  • 26. Thermochemistry Work We can measure the work done by the gas if the reaction is done in a vessel that has been fitted with a piston. w = −PDV
  • 27. Thermochemistry Enthalpy • If a process takes place at constant pressure (as the majority of processes we study do) and the only work done is this pressure-volume work, we can account for heat flow during the process by measuring the enthalpy of the system. • Enthalpy is the internal energy plus the product of pressure and volume: H = E + PV
  • 28. Thermochemistry Enthalpy • When the system changes at constant pressure, the change in enthalpy, DH, is DH = D(E + PV) • This can be written DH = DE + PDV
  • 29. Thermochemistry Enthalpy • Since DE = q + w and w = −PDV, we can substitute these into the enthalpy expression: DH = DE + PDV DH = (q+w) − w DH = q • So, at constant pressure the change in enthalpy is the heat gained or lost.
  • 30. Thermochemistry Endothermicity and Exothermicity • A process is endothermic, then, when DH is positive.
  • 31. Thermochemistry Endothermicity and Exothermicity • A process is endothermic when DH is positive. • A process is exothermic when DH is negative.
  • 32. Thermochemistry Enthalpies of Reaction The change in enthalpy, DH, is the enthalpy of the products minus the enthalpy of the reactants: DH = Hproducts − Hreactants
  • 33. Thermochemistry Enthalpies of Reaction This quantity, DH, is called the enthalpy of reaction, or the heat of reaction.
  • 34. Thermochemistry The Truth about Enthalpy 1. Enthalpy is an extensive property. 2. DH for a reaction in the forward direction is equal in size, but opposite in sign, to DH for the reverse reaction. 3. DH for a reaction depends on the state of the products and the state of the reactants.
  • 35. Thermochemistry Calorimetry Since we cannot know the exact enthalpy of the reactants and products, we measure DH through calorimetry, the measurement of heat flow.
  • 36. Heat Capacity and Specific Heat • The amount of energy required to raise the temperature of a substance by 1 K (1°C) is its heat capacity. • We define specific heat capacity (or simply specific heat) as the amount of energy required to raise the temperature of 1 g of a substance by 1 K. Thermochemistry
  • 37. Heat Capacity and Specific Heat Thermochemistry Specific heat, then, is Specific heat = heat transferred mass ´ temperature change s = q m ´ DT
  • 38. Constant Pressure Calorimetry By carrying out a reaction in aqueous solution in a simple calorimeter such as this one, one can indirectly measure the heat change for the system by measuring the heat change for the water in the calorimeter. Thermochemistry
  • 39. Constant Pressure Calorimetry Because the specific heat for water is well known (4.184 J/mol-K), we can measure DH for the reaction with this equation: q = m ´ s ´ DT Thermochemistry
  • 40. Thermochemistry Bomb Calorimetry Reactions can be carried out in a sealed “bomb,” such as this one, and measure the heat absorbed by the water.
  • 41. Thermochemistry Bomb Calorimetry • Because the volume in the bomb calorimeter is constant, what is measured is really the change in internal energy, DE, not DH. • For most reactions, the difference is very small.
  • 43. Thermochemistry Hess’s Law "DH is well known for many reactions, and it is inconvenient to measure DH for every reaction in which we are interested. • However, we can estimate DH using DH values that are published and the properties of enthalpy.
  • 44. Thermochemistry Hess’s Law Hess’s law states that “If a reaction is carried out in a series of steps, DH for the overall reaction will be equal to the sum of the enthalpy changes for the individual steps.”
  • 45. Thermochemistry Hess’s Law Because DH is a state function, the total enthalpy change depends only on the initial state of the reactants and the final state of the products.
  • 46. Thermochemistry Enthalpies of Formation An enthalpy of formation, DHf, is defined as the enthalpy change for the reaction in which a compound is made from its constituent elements in their elemental forms.
  • 47. Standard Enthalpies of Formation Standard enthalpies of formation, DHf, are measured under standard conditions (25°C and 1.00 atm pressure). Thermochemistry °
  • 48. C3H8 (g) + 5 O2 (g) ¾® 3 CO2 (g) + 4 H2O (l) Thermochemistry Calculation of DH • Imagine this as occurring in 3 steps: C3H8 (g) ¾® 3 C(graphite) + 4 H2 (g) 3 C(graphite) + 3 O2 (g) ¾® 3 CO2 (g) 4 H2 (g) + 2 O2 (g) ¾® 4 H2O (l)
  • 49. C3H8 (g) + 5 O2 (g) ¾® 3 CO2 (g) + 4 H2O (l) Thermochemistry Calculation of DH • Imagine this as occurring in 3 steps: C3H8 (g) ¾® 3 C(graphite) + 4 H2 (g) 3 C(graphite) + 3 O2 (g) ¾® 3 CO2 (g) 4 H2 (g) + 2 O2 (g) ¾® 4 H2O (l)
  • 50. C3H8 (g) + 5 O2 (g) ¾® 3 CO2 (g) + 4 H2O (l) Thermochemistry Calculation of DH • Imagine this as occurring in 3 steps: C3H8 (g) ¾® 3 C(graphite) + 4 H2 (g) 3 C(graphite) + 3 O2 (g) ¾® 3 CO2 (g) 4 H2 (g) + 2 O2 (g) ¾® 4 H2O (l)
  • 51. Calculation of DH C3H8 (g) + 5 O2 (g) ¾® 3 CO2 (g) + 4 H2O (l) Thermochemistry • The sum of these equations is: C3H8 (g) ¾® 3 C(graphite) + 4 H2 (g) 3 C(graphite) + 3 O2 (g) ¾® 3 CO2 (g) 4 H2 (g) + 2 O2 (g) ¾® 4 H2O (l) C3H8 (g) + 5 O2 (g) ¾® 3 CO2 (g) + 4 H2O (l)
  • 52. Thermochemistry Calculation of DH We can use Hess’s law in this way: DH = S n DH° - S Df(products) mH° f(reactants) where n and m are the stoichiometric coefficients.
  • 53. C3H8 (g) + 5 O2 (g) ¾® 3 CO2 (g) + 4 H2O (l) Thermochemistry Calculation of DH DH = [3(-393.5 kJ) + 4(-285.8 kJ)] - [1(-103.85 kJ) + 5(0 kJ)] = [(-1180.5 kJ) + (-1143.2 kJ)] - [(-103.85 kJ) + (0 kJ)] = (-2323.7 kJ) - (-103.85 kJ) = -2219.9 kJ
  • 54. Thermochemistry Energy in Foods Most of the fuel in the food we eat comes from carbohydrates and fats.
  • 55. Thermochemistry Fuels The vast majority of the energy consumed in this country comes from fossil fuels.