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Chapter 5
Thermochemistry
The energy of chemical reactions
Presented by: Logan
Energy
• The ability to:
• do work
• 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.
Work
• Energy used to move an object
over some distance.
• w = F  d,
w = work,
F = force
d = distance over which the force
is exerted.
Note units:
F = ma, mass(distance/s2)
W = F(d) = mass(distance2/s2)
= mv2
Heat
• Energy can also be
transferred as heat.
• Heat flows from
warmer objects to
cooler objects.
Units of Energy
• The SI unit of energy is the joule (J).
• An older, non-SI unit is still in widespread
use: The calorie (cal).
1 cal = 4.184 J
Energy has units of (mass)(velocity)2
Remember kinetic energy was 1/2mv2
1 J = 1 ⎯⎯
kg m2
s2
Kinetic Energy
Energy an object possesses by virtue of its
motion.
1
2
KE = ⎯ mv2
Potential Energy
Energy an object possesses by virtue of its
position or chemical composition.
More potential E
Less P.E. as bike
goes down.
Transferal of Energy
a) Add P.E. to a ball by lifting it to the top of
the wall
b) As the ball falls,
P.E ------> K. E. (1/2mv2)
Ball hits ground, K.E. =0, but E has to go
somewhere. So
1. Ball gets squashed
2. Heat comes out.
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).
First Law of Thermodynamics
• Energy is conserved.
• In other words, the total energy of the universe is a
constant; ESystem = -Esurroundings
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.
Einternal,total= EKE + EPE + Eelectrons + Enuclei +……
Almost impossible to calculate total internal energy
Instead we always look at the change in energy (E).
Internal Energy
By definition, the change in internal energy, E, is the
final energy of the system minus the initial energy of
the system:
E = Efinal − Einitial
Changes in Internal Energy
• If E > 0, Efinal > Einitial
➢Therefore, the system
absorbed energy from
the surroundings.
➢This energy change is
called endergonic.
Changes in Internal Energy
• If E < 0, Efinal < Einitial
➢Therefore, the system
released energy to the
surroundings.
➢This energy change is
called exergonic.
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, E = q + w.
E, q, w, and Their Signs
+q-q
hot plate adds
heat to water
Surroundings
suck heat out of
water.
Sign of work
Truck pushes block up.
Does work on block
wtruck-
wblock+
block pushes truck down
does work on truck
wblock-
wtruck+
State Functions
Total internal energy of a system:
K.E. + Eelectrons + Enucleus + P.E.total
virtually impossible to measure/calculate
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.
State Functions
• However, q and w are
not state functions.
• Whether the battery is
shorted out or is
discharged by running
the fan, its E is the
same.
➢But q and w are different
in the two cases.
Catch the work, do the same process in a cylinder
Process evolves gas, pushes on piston, work done
on piston
Catch the work, do the same process in a cylinder
w = F*d, F = P*A, d=h
w = -P*Ah= -PV
Negative because an
increase in Volume
means that the system
is doing work on the
surroundings.
E = q + w = q - PV
qP = E + PV
Example• Gas inside cyclinder with electric heater.
• Add 100 j heat with heater.
• 1. Piston can go up and down
• 2. Piston stuck.
• a. What happens to T in each case?
• b. What about q and w for each case?
• c. What about E in each case? a.1. Piston goes up, some E
goes to expand gas, do
work. T goes up less
a.2 T goes up more, all E
goes to q.
b.1. both q and w
positive
b.2. w 0, q larger
c. E the same & + in each case
Work
Now we can measure the work:
w = −PV
Zn + 2HCl ---------> H2(g) + ZnCl2
Work
I mole of Zn reacts. How much work is done (P = 1 atm, density of H2 =
0.0823 g/L)?
1 mole of H2 is produced.
Zn + 2HCl ---------> H2(g) + ZnCl2
1mol 1 mol
2. 014 g/mol
2.014 g
d=m/V
V=m/d
V = 2.014g/0.0823g/L = 24.47 L
W = -PV = 1atm(24.47L) = -24.47 L(atm)
Enthalpy焓
• at constant pressure, H, is
( = change in thermodynamics)
H = (E + PV)
• This can be written (if P constant)
H = E + PV
H = E + PV
Enthalpy
• Since E = q + w and w = −PV (P const.)
substitute these into the enthalpy
expression:
H = E + PV
H = (q+w) − w
H = q
• Note: true at constant pressure
• q is a state function at const P & only PV
work.
Endothermicity and
Exothermicity
• A process is
endothermic when
H is positive.
• A process is
exothermic when
H is negative.
Enthalpies of Reaction
The change in enthalpy,
H, is the enthalpy of
the products minus the
enthalpy of the
reactants:
H = Hproducts − Hreactants
Enthalpy of reaction example
Consider the reaction:
2KClO3 -------> 2KCl + 3O2 H = -89.4 kJ/mol
a. What is the enthalpy change for formation of 0.855
moles of O2?
2KClO3 -------> 2KCl + 3O2 H = -89.4 kJ/mol
0.855 mol
H = -89.4 kJ/3 mol O2(.855 mol O2) =
-25.5 kJ
Heat Capacity and Specific Heat
• heat capacity: amount of E required to
raise the temperature of something by 1 K
• specific heat: amount of E required to
raise the temperature of 1 g of a substance
by 1 K.
Constant Pressure Calorimetry
indirectly measure the
heat change for the
system by measuring the
heat change for the water
in the calorimeter.
Constant Pressure Calorimetry
Because the specific heat
for water is well known
(4.184 J/g-K), we can
measure H for the
reaction with this
equation:
q = m  s  T
m = mass
s = specific heat
Example
When a 3.88 g sample of solid
ammonium nitrate disolves in 60.0 g
of water in a coffee cup calorimeter,
the temperature drops from 23.0 °C
to 18.4 °C. (a) Calculate H (in
kJ/mol ammonium nitrate) for the
solution process. Assume that the
specific heat is constant and = 1.0
cal/gC. (b) Is this process
endothermic or exothermic?
Example
When a 3.88 g sample of solid ammonium nitrate disolves in 60.0 g of water in a
coffee cup calorimeter, the temperature drops from 23.0 °C to 18.4 °C. (a)
Calculate H (in kJ/mol ammonium nitrate) for the solution process. Assume that
the specific heat is constant and = 4.184 J/g°C. (b) Is this process endothermic
or exothermic?
Reaction:
NH4NO3(s) ------> NH4
+(aq) + NO3
-(aq)
gr 3.88 g
MW 80.04 g/mol
#Mol 3.88 g/80.04 g/mol = 0.0484 mol
Mass of solution = 3.88 g + 60 g = 63.88 g.
System: Solid AmNO3
Surroundings: Solution
q = s(specific heat)m(mass)T
q = s(J/g°C)m(grams)(Tfinal - Tinitial)
qsolution = 4.184(J/g°C)(63.88 g)(18.4°C - 23.0°C) = -1229
J
qwater=-qammonium nitrate = +1229 J
H(per mol NH4NO3) = 1.229 kJ/.0484 mol = 25.39 kJ/mol
(b) Endothermic
Bomb Calorimetry
Reactions can be carried
out separated from the
water in a “bomb,” such
as this one,
And still measure the heat
absorbed by the water.
Bomb Calorimetry
H = E + PV
H = E + PV
In a bomb calorimeter, V = 0
For a process that doesn’t evolve gas:
P  0 as well.
H = E + PV = E
Example
• A 50 g sample of gasoline was burned by combustion
(with excess oxygen) in a calorimeter with a heat capacity
of 10 kJ/°C. The temperature increased 100 °C.
Calculate the change in E per g of gasoline.
• qsurroundings = CT =10 kJ/°C(100 °C) = 1000 kJ
• qsurroundings = -qsystem
• qsystem=-1000
• -1000 kJ/50g = -20 kJ/g
• Does E = H in this case?
• NO! Pressure can’t stay constant in this case.
Hess’s Law
 H is known for many reactions.
• measuring H can be a pain
• Can we estimate H using H values for
other reactions?
Hess’s Law
Hess’s law: states
that:
H for the overall
reaction will be
equal to the sum of
the enthalpy
changes for the
individual steps.
Yes!
Hess’s law, example:
• Given:
• N2(g) + O2(g) ----> 2NO(g) H = 180.7 kJ
• 2NO(g) + O2(g) ----> 2NO2(g) H = -113.1 kJ
• 2N2O(g) ----> 2N2(g) + O2(g) H = -163.2 kJ
• use Hess’s law to calculate H for the reaction:
• N2O(g) + NO2(g)----> 3NO(g)
•N2O(g) ----> N2(g) + 1/2O2(g) H = -163.2/2 =-81.6kJ
•NO2(g) ----> NO(g) + 1/2O2(g) H = 113.1 kJ/2=56.6kJ
•N2(g) + O2(g) ----> 2NO(g) H = 180.7
•N2O(g) + NO2(g) ----> 3NO(g) H = 155.7 kJ
Calculation of H
We can use Hess’s law in this way:
H =  n Hf(products) -  m Hf(reactants)
where n and m are the stoichiometric
coefficients.
 
Standard Enthalpies of Formation
Standard enthalpies of formation, Hf, are
measured under standard conditions (25°C and
1.00 atm pressure).

Calculation of H
• C3H8 + 5 O2 -----> 3CO2 + 4H2O
H = [3(HfCO2) + 4(HfH2O)] - [(Hf C3H8) + (5Hf O2)]
= [3(-393.5 kJ) + 4(-285.8 kJ)] - [(-103.85 kJ) + 5(0)
= [-1180.5 kJ + (-1143.2 kJ)] - [(-103.85 kJ)+ 0 kJ
= [-2323.7 kJ] - [-103.85 kJ)
= -2219.9 kJ
Phase Changes
• Conversion from
one state of
matter to another
is a phase
change.
• Energy is either
added or released
in a phase
change.
• .
Heating Curves
• A plot of T vs. q
• Within a phase:
• q= ms
• The temperature of the
substance does not rise
during a phase change.
• For the phase changes, the product of mass
and the heat of fusion of vaporization is heat.
Fuels
The vast majority of the energy consumed in this
country comes from fossil fuels.
The Energy cycle:
• Us (and almost everything else alive on the earth):
• C6H12O6 + 6O2 ----> 6CO2 + 6H2O
• Fossil fuel production:
• CH4 + 2O2 ----> CO2 + 2H2O (for methane)
• Plants:
• 6CO2 + 6H2O + light ----> C6H12O6 + 6O2
Net CO2 production could therefore be 0.
The problem with oil
• Not “renewable” (will run out)
• Pollution (combustion not perfect).
• Global warming
CO2 absorbs heat.
CnH2n+2 + (3n+1/2)O2 -----> nCO2 + (n+1)H2O
Hybrids
• Electric motors are way
more efficient than gas
engines. (94%)
• Note, your engine is very
hot,
• It must be cooled
• Flush all that E down drain.
No work, only heat.
gas engines are 24-30% efficient
Problem: batteries suck!
Heavy, expensive, limited recharging cycles,
limited current etc.
Li ion battery
x e- +xLi+ + Li1-xCo(IV)O2 -----> LiCo(III)O2
LixC6 ------> xLi+ + xe- + C6
Lithium is really light.
Dissolves in organic solvents which are also light.
Li is at the top of the activity series. Means a higher
potential (more voltage per battery cell)
Ethanol, where does it come
from
• Alcoholic fermentation:
• C6H12O6 ----> 2CO2 + 2C2H5OH (ethanol) H=-76 kJ/mol
• -1270 2(-393) 2(-280)
• (anaerobic, bacteria & yeast can do this, we can’t)
Exactly the same place it comes from in your beer.
Ethanol
• Alcoholic fermentation:
• C6H12O6 ----> 2CO2 + 2C2H6O (ethanol) H=-76 kJ/mol
• -1270 2(-393) 2(-280)
• (anaerobic, yeast can do this, we can’t) only to 10%.
• Distillation (requires energy) to purify.
bug
Alcohol combustion:
C2H6O + O2 ---> 2CO2 + 3H2O H = -1367 kJ/mol(1mol/46g)=-29.7kJ/g
But why would this be better for global warming?
Ethanol, problems
• Lots of land to grow (yield 2-4 tons/acre)
• All present agricultural land in U.S. would not be enough for all
transportation needs.
• requires fertilizer, tractors,etc. for growing (energy)
• Distillation requires energy
• For every 1.4 kJ need 1.0 kJ, much more than oil
• Brazil, however, is approaching 50% ethanol for transportation
• Why? Sugar cane, largest starch or sugar yield/acre.
• But, you can’t grow sugar cane on the great plains.
Things to consider
• Energy yield (how much E out versus E in)?
• Break even price (how much/gallon of gas
equivalents (present corn ethanol is 2.25/gallon just
to make).
• Where is the technology NOW?
• Is storage required, & if so, how you gonna do it
• (solar when the sun doesn’t shine)
• Remember, at present Batteries suck!
The Thermite reaction
• 2Al + Fe2O3 -------> Al2O3 + 2Fe
• What kind of reaction is this?
• Why does it happen?
• Used for welding railroad tracks
• What is the heat of reaction given:
• 2Fe + 3/2O2 -----> Fe2O3 H = -825.5 KJ
• 2Al + 3/2O2 -----> Al2O3 H = -1675.7 KJ
The Thermite Reaction
• 2Al + Fe2O3 -------> Al2O3 + 2Fe
• What is the heat of reaction given:
• 2Fe + 3/2O2 -----> Fe2O3 H = -825.5 KJ
• 2Al + 3/2O2 -----> Al2O3 H = -1675.7 KJ
• 2Al + 3/2O2 -----> Al2O3 H = -1675.7 KJ
• Fe2O3 -----> 2Fe + 3/2O2 H = 825.5 KJ
• 2Al + Fe2O3 -------> Al2O3 + 2Fe H = -850.2 KJ
http://www.youtube.com/watch?v=BnHR4cMXiyM
A thermite mystery: