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Thermochemistry
Chapter 6
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
2
Energy is the capacity to do work.
• Radiant energy comes from the sun and is
earth’s primary energy source
• Thermal energy is the energy associated with
the random motion of atoms and molecules
• Chemical energy is the energy stored within the
bonds of chemical substances
• Nuclear energy is the energy stored within the
collection of neutrons and protons in the atom
• Potential energy is the energy available by virtue
of an object’s position
3
Heat is the transfer of thermal energy between
two bodies that are at different temperatures.
Energy Changes in Chemical Reactions
Temperature is a measure of the
thermal energy.
Temperature = Thermal Energy
4
Thermochemistry is the study of heat change in chemical
reactions.
The system is the specific part of the universe that is of
interest in the study.
open
mass & energy
Exchange:
closed
energy
isolated
nothing
5
Exothermic process is any process that gives off heat –
transfers thermal energy from the system to the surroundings.
Endothermic process is any process in which heat has to be
supplied to the system from the surroundings.
2H2 (g) + O2 (g) 2H2O (l) + energy
H2O (g) H2O (l) + energy
energy + 2HgO (s) 2Hg (l) + O2 (g)
energy + H2O (s) H2O (l)
6
Schematic of Exothermic and Endothermic Processes
7
Thermodynamics is the scientific study of the
interconversion of heat and other kinds of energy.
State functions are properties that are determined by the state
of the system, regardless of how that condition was achieved.
Potential energy of hiker 1 and hiker 2
is the same even though they took
different paths.
energy, pressure, volume, temperature
DE = Efinal - Einitial
DP = Pfinal - Pinitial
DV = Vfinal - Vinitial
DT = Tfinal - Tinitial
8
First law of thermodynamics – energy can be
converted from one form to another, but cannot be
created or destroyed.
DEsystem + DEsurroundings = 0
or
DEsystem = -DEsurroundings
C3H8 + 5O2 3CO2 + 4H2O
Exothermic chemical reaction!
Chemical energy lost by combustion = Energy gained by the surroundings
system surroundings
9
Another form of the first law for DEsystem
DE = q + w
DE is the change in internal energy of a system
q is the heat exchange between the system and the surroundings
w is the work done on (or by) the system
w = -PDV when a gas expands against a constant external pressure
10
Work Done On the System
w = F x d
w = -P DV
P x V = x d3 = F x d = w
F
d2
DV > 0
-PDV < 0
wsys < 0
Work is
not a
state
function.
Dw = wfinal - winitial
initial final
11
A sample of nitrogen gas expands in volume from 1.6 L to 5.4 L
at constant temperature. What is the work done in joules if the
gas expands (a) against a vacuum and (b) against a constant
pressure of 3.7 atm?
w = -P DV
(a) DV = 5.4 L – 1.6 L = 3.8 L P = 0 atm
W = -0 atm x 3.8 L = 0 L•atm = 0 joules
(b) DV = 5.4 L – 1.6 L = 3.8 L P = 3.7 atm
w = -3.7 atm x 3.8 L = -14.1 L•atm
w = -14.1 L•atm x
101.3 J
1L•atm
= -1430 J
12
Chemistry in Action: Making Snow
DE = q + w
q = 0
w < 0, DE < 0
DE = CDT
DT < 0, SNOW!
13
Enthalpy and the First Law of Thermodynamics
DE = q + w
DE = DH - PDV
DH = DE + PDV
q = DH and w = -PDV
At constant pressure:
14
Enthalpy (H) is used to quantify the heat flow into or out of a
system in a process that occurs at constant pressure.
DH = H (products) – H (reactants)
DH = heat given off or absorbed during a reaction at constant pressure
Hproducts < Hreactants
DH < 0
Hproducts > Hreactants
DH > 0
15
Thermochemical Equations
H2O (s) H2O (l) DH = 6.01 kJ/mol
Is DH negative or positive?
System absorbs heat
Endothermic
DH > 0
6.01 kJ are absorbed for every 1 mole of ice that
melts at 00C and 1 atm.
16
Thermochemical Equations
CH4 (g) + 2O2 (g) CO2 (g) + 2H2O (l) DH = -890.4 kJ/mol
Is DH negative or positive?
System gives off heat
Exothermic
DH < 0
890.4 kJ are released for every 1 mole of methane
that is combusted at 250C and 1 atm.
17
H2O (s) H2O (l) DH = 6.01 kJ/mol
• The stoichiometric coefficients always refer to the number
of moles of a substance
Thermochemical Equations
• If you reverse a reaction, the sign of DH changes
H2O (l) H2O (s) DH = -6.01 kJ/mol
• If you multiply both sides of the equation by a factor n,
then DH must change by the same factor n.
2H2O (s) 2H2O (l) DH = 2 x 6.01 = 12.0 kJ
18
H2O (s) H2O (l) DH = 6.01 kJ/mol
• The physical states of all reactants and products must be
specified in thermochemical equations.
Thermochemical Equations
H2O (l) H2O (g) DH = 44.0 kJ/mol
How much heat is evolved when 266 g of white phosphorus (P4)
burn in air?
P4 (s) + 5O2 (g) P4O10 (s) DH = -3013 kJ/mol
266 g P4
1 mol P4
123.9 g P4
x
3013 kJ
1 mol P4
x = 6470 kJ
19
A Comparison of DH and DE
2Na (s) + 2H2O (l) 2NaOH (aq) + H2 (g) DH = -367.5 kJ/mol
DE = DH - PDV At 25 oC, 1 mole H2 = 24.5 L at 1 atm
PDV = 1 atm x 24.5 L = 2.5 kJ
DE = -367.5 kJ/mol – 2.5 kJ/mol = -370.0 kJ/mol
20
The specific heat (s) of a substance is the amount of heat (q)
required to raise the temperature of one gram of the
substance by one degree Celsius.
The heat capacity (C) of a substance is the amount of heat
(q) required to raise the temperature of a given quantity (m)
of the substance by one degree Celsius.
C = m x s
Heat (q) absorbed or released:
q = m x s x Dt
q = C x Dt
Dt = tfinal - tinitial
21
How much heat is given off when an 869 g iron bar cools
from 94oC to 5oC?
s of Fe = 0.444 J/g • oC
Dt = tfinal – tinitial = 5oC – 94oC = -89oC
q = msDt = 869 g x 0.444 J/g • oC x –89oC = -34,000 J
22
Constant-Volume Calorimetry
No heat enters or leaves!
qsys = qwater + qbomb + qrxn
qsys = 0
qrxn = - (qwater + qbomb)
qwater = m x s x Dt
qbomb = Cbomb x Dt
Reaction at Constant V
DH ~ qrxn
DH = qrxn
23
Constant-Pressure Calorimetry
No heat enters or leaves!
qsys = qwater + qcal + qrxn
qsys = 0
qrxn = - (qwater + qcal)
qwater = m x s x Dt
qcal = Ccal x Dt
Reaction at Constant P
DH = qrxn
24
25
Chemistry in Action:
Fuel Values of Foods and Other Substances
C6H12O6 (s) + 6O2 (g) 6CO2 (g) + 6H2O (l) DH = -2801 kJ/mol
1 cal = 4.184 J
1 Cal = 1000 cal = 4184 J
Substance DHcombustion (kJ/g)
Apple -2
Beef -8
Beer -1.5
Gasoline -34
26
Because there is no way to measure the absolute value of
the enthalpy of a substance, must I measure the enthalpy
change for every reaction of interest?
Establish an arbitrary scale with the standard enthalpy of
formation (DH0) as a reference point for all enthalpy
expressions.
f
Standard enthalpy of formation (DH0) is the heat change
that results when one mole of a compound is formed from
its elements at a pressure of 1 atm.
f
The standard enthalpy of formation of any element in its
most stable form is zero.
DH0 (O2) = 0
f
DH0 (O3) = 142 kJ/mol
f
DH0 (C, graphite) = 0
f
DH0 (C, diamond) = 1.90 kJ/mol
f
27
28
The standard enthalpy of reaction (DH0 ) is the enthalpy of
a reaction carried out at 1 atm.
rxn
aA + bB cC + dD
DH0
rxn dDH0 (D)
f
cDH0 (C)
f
= [ + ] - bDH0 (B)
f
aDH0 (A)
f
[ + ]
DH0
rxn nDH0 (products)
f
= S mDH0 (reactants)
f
S
-
Hess’s Law: When reactants are converted to products, the
change in enthalpy is the same whether the reaction takes
place in one step or in a series of steps.
(Enthalpy is a state function. It doesn’t matter how you get
there, only where you start and end.)
29
C (graphite) + 1/2O2 (g) CO (g)
CO (g) + 1/2O2 (g) CO2 (g)
C (graphite) + O2 (g) CO2 (g)
30
Calculate the standard enthalpy of formation of CS2 (l) given
that:
C(graphite) + O2 (g) CO2 (g) DH0 = -393.5 kJ/mol
rxn
S(rhombic) + O2 (g) SO2 (g) DH0 = -296.1 kJ/mol
rxn
CS2(l) + 3O2 (g) CO2 (g) + 2SO2 (g) DH0 = -1072 kJ/mol
rxn
1. Write the enthalpy of formation reaction for CS2
C(graphite) + 2S(rhombic) CS2 (l)
2. Add the given rxns so that the result is the desired rxn.
rxn
C(graphite) + O2 (g) CO2 (g) DH0 = -393.5 kJ/mol
2S(rhombic) + 2O2 (g) 2SO2 (g) DH0 = -296.1 kJ/mol x 2
rxn
CO2(g) + 2SO2 (g) CS2 (l) + 3O2 (g) DH0 = +1072 kJ/mol
rxn
+
C(graphite) + 2S(rhombic) CS2 (l)
DH0 = -393.5 + (2x-296.1) + 1072 = 86.3 kJ/mol
rxn
31
Benzene (C6H6) burns in air to produce carbon dioxide and
liquid water. How much heat is released per mole of benzene
combusted? The standard enthalpy of formation of benzene is
49.04 kJ/mol.
2C6H6 (l) + 15O2 (g) 12CO2 (g) + 6H2O (l)
DH0
rxn nDH0 (products)
f
= S mDH0 (reactants)
f
S
-
DH0
rxn 6DH0 (H2O)
f
12DH0 (CO2)
f
= [ + ] - 2DH0 (C6H6)
f
[ ]
DH0
rxn = [ 12x–393.5 + 6x–187.6 ] – [ 2x49.04 ] = -5946 kJ
-5946 kJ
2 mol
= - 2973 kJ/mol C6H6
32
Chemistry in Action: Bombardier Beetle Defense
C6H4(OH)2 (aq) + H2O2 (aq) C6H4O2 (aq) + 2H2O (l) DH0 = ?
C6H4(OH)2 (aq) C6H4O2 (aq) + H2 (g) DH0 = 177 kJ/mol
H2O2 (aq) H2O (l) + ½O2 (g) DH0 = -94.6 kJ/mol
H2 (g) + ½ O2 (g) H2O (l) DH0 = -286 kJ/mol
DH0 = 177 - 94.6 – 286 = -204 kJ/mol
Exothermic!
33
The enthalpy of solution (DHsoln) is the heat generated or
absorbed when a certain amount of solute dissolves in a
certain amount of solvent.
DHsoln = Hsoln - Hcomponents
Which substance(s) could be
used for melting ice?
Which substance(s) could be
used for a cold pack?
34
The Solution Process for NaCl
DHsoln = Step 1 + Step 2 = 788 – 784 = 4 kJ/mol

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ch6.pptx

  • 1. Thermochemistry Chapter 6 Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
  • 2. 2 Energy is the capacity to do work. • Radiant energy comes from the sun and is earth’s primary energy source • Thermal energy is the energy associated with the random motion of atoms and molecules • Chemical energy is the energy stored within the bonds of chemical substances • Nuclear energy is the energy stored within the collection of neutrons and protons in the atom • Potential energy is the energy available by virtue of an object’s position
  • 3. 3 Heat is the transfer of thermal energy between two bodies that are at different temperatures. Energy Changes in Chemical Reactions Temperature is a measure of the thermal energy. Temperature = Thermal Energy
  • 4. 4 Thermochemistry is the study of heat change in chemical reactions. The system is the specific part of the universe that is of interest in the study. open mass & energy Exchange: closed energy isolated nothing
  • 5. 5 Exothermic process is any process that gives off heat – transfers thermal energy from the system to the surroundings. Endothermic process is any process in which heat has to be supplied to the system from the surroundings. 2H2 (g) + O2 (g) 2H2O (l) + energy H2O (g) H2O (l) + energy energy + 2HgO (s) 2Hg (l) + O2 (g) energy + H2O (s) H2O (l)
  • 6. 6 Schematic of Exothermic and Endothermic Processes
  • 7. 7 Thermodynamics is the scientific study of the interconversion of heat and other kinds of energy. State functions are properties that are determined by the state of the system, regardless of how that condition was achieved. Potential energy of hiker 1 and hiker 2 is the same even though they took different paths. energy, pressure, volume, temperature DE = Efinal - Einitial DP = Pfinal - Pinitial DV = Vfinal - Vinitial DT = Tfinal - Tinitial
  • 8. 8 First law of thermodynamics – energy can be converted from one form to another, but cannot be created or destroyed. DEsystem + DEsurroundings = 0 or DEsystem = -DEsurroundings C3H8 + 5O2 3CO2 + 4H2O Exothermic chemical reaction! Chemical energy lost by combustion = Energy gained by the surroundings system surroundings
  • 9. 9 Another form of the first law for DEsystem DE = q + w DE is the change in internal energy of a system q is the heat exchange between the system and the surroundings w is the work done on (or by) the system w = -PDV when a gas expands against a constant external pressure
  • 10. 10 Work Done On the System w = F x d w = -P DV P x V = x d3 = F x d = w F d2 DV > 0 -PDV < 0 wsys < 0 Work is not a state function. Dw = wfinal - winitial initial final
  • 11. 11 A sample of nitrogen gas expands in volume from 1.6 L to 5.4 L at constant temperature. What is the work done in joules if the gas expands (a) against a vacuum and (b) against a constant pressure of 3.7 atm? w = -P DV (a) DV = 5.4 L – 1.6 L = 3.8 L P = 0 atm W = -0 atm x 3.8 L = 0 L•atm = 0 joules (b) DV = 5.4 L – 1.6 L = 3.8 L P = 3.7 atm w = -3.7 atm x 3.8 L = -14.1 L•atm w = -14.1 L•atm x 101.3 J 1L•atm = -1430 J
  • 12. 12 Chemistry in Action: Making Snow DE = q + w q = 0 w < 0, DE < 0 DE = CDT DT < 0, SNOW!
  • 13. 13 Enthalpy and the First Law of Thermodynamics DE = q + w DE = DH - PDV DH = DE + PDV q = DH and w = -PDV At constant pressure:
  • 14. 14 Enthalpy (H) is used to quantify the heat flow into or out of a system in a process that occurs at constant pressure. DH = H (products) – H (reactants) DH = heat given off or absorbed during a reaction at constant pressure Hproducts < Hreactants DH < 0 Hproducts > Hreactants DH > 0
  • 15. 15 Thermochemical Equations H2O (s) H2O (l) DH = 6.01 kJ/mol Is DH negative or positive? System absorbs heat Endothermic DH > 0 6.01 kJ are absorbed for every 1 mole of ice that melts at 00C and 1 atm.
  • 16. 16 Thermochemical Equations CH4 (g) + 2O2 (g) CO2 (g) + 2H2O (l) DH = -890.4 kJ/mol Is DH negative or positive? System gives off heat Exothermic DH < 0 890.4 kJ are released for every 1 mole of methane that is combusted at 250C and 1 atm.
  • 17. 17 H2O (s) H2O (l) DH = 6.01 kJ/mol • The stoichiometric coefficients always refer to the number of moles of a substance Thermochemical Equations • If you reverse a reaction, the sign of DH changes H2O (l) H2O (s) DH = -6.01 kJ/mol • If you multiply both sides of the equation by a factor n, then DH must change by the same factor n. 2H2O (s) 2H2O (l) DH = 2 x 6.01 = 12.0 kJ
  • 18. 18 H2O (s) H2O (l) DH = 6.01 kJ/mol • The physical states of all reactants and products must be specified in thermochemical equations. Thermochemical Equations H2O (l) H2O (g) DH = 44.0 kJ/mol How much heat is evolved when 266 g of white phosphorus (P4) burn in air? P4 (s) + 5O2 (g) P4O10 (s) DH = -3013 kJ/mol 266 g P4 1 mol P4 123.9 g P4 x 3013 kJ 1 mol P4 x = 6470 kJ
  • 19. 19 A Comparison of DH and DE 2Na (s) + 2H2O (l) 2NaOH (aq) + H2 (g) DH = -367.5 kJ/mol DE = DH - PDV At 25 oC, 1 mole H2 = 24.5 L at 1 atm PDV = 1 atm x 24.5 L = 2.5 kJ DE = -367.5 kJ/mol – 2.5 kJ/mol = -370.0 kJ/mol
  • 20. 20 The specific heat (s) of a substance is the amount of heat (q) required to raise the temperature of one gram of the substance by one degree Celsius. The heat capacity (C) of a substance is the amount of heat (q) required to raise the temperature of a given quantity (m) of the substance by one degree Celsius. C = m x s Heat (q) absorbed or released: q = m x s x Dt q = C x Dt Dt = tfinal - tinitial
  • 21. 21 How much heat is given off when an 869 g iron bar cools from 94oC to 5oC? s of Fe = 0.444 J/g • oC Dt = tfinal – tinitial = 5oC – 94oC = -89oC q = msDt = 869 g x 0.444 J/g • oC x –89oC = -34,000 J
  • 22. 22 Constant-Volume Calorimetry No heat enters or leaves! qsys = qwater + qbomb + qrxn qsys = 0 qrxn = - (qwater + qbomb) qwater = m x s x Dt qbomb = Cbomb x Dt Reaction at Constant V DH ~ qrxn DH = qrxn
  • 23. 23 Constant-Pressure Calorimetry No heat enters or leaves! qsys = qwater + qcal + qrxn qsys = 0 qrxn = - (qwater + qcal) qwater = m x s x Dt qcal = Ccal x Dt Reaction at Constant P DH = qrxn
  • 24. 24
  • 25. 25 Chemistry in Action: Fuel Values of Foods and Other Substances C6H12O6 (s) + 6O2 (g) 6CO2 (g) + 6H2O (l) DH = -2801 kJ/mol 1 cal = 4.184 J 1 Cal = 1000 cal = 4184 J Substance DHcombustion (kJ/g) Apple -2 Beef -8 Beer -1.5 Gasoline -34
  • 26. 26 Because there is no way to measure the absolute value of the enthalpy of a substance, must I measure the enthalpy change for every reaction of interest? Establish an arbitrary scale with the standard enthalpy of formation (DH0) as a reference point for all enthalpy expressions. f Standard enthalpy of formation (DH0) is the heat change that results when one mole of a compound is formed from its elements at a pressure of 1 atm. f The standard enthalpy of formation of any element in its most stable form is zero. DH0 (O2) = 0 f DH0 (O3) = 142 kJ/mol f DH0 (C, graphite) = 0 f DH0 (C, diamond) = 1.90 kJ/mol f
  • 27. 27
  • 28. 28 The standard enthalpy of reaction (DH0 ) is the enthalpy of a reaction carried out at 1 atm. rxn aA + bB cC + dD DH0 rxn dDH0 (D) f cDH0 (C) f = [ + ] - bDH0 (B) f aDH0 (A) f [ + ] DH0 rxn nDH0 (products) f = S mDH0 (reactants) f S - Hess’s Law: When reactants are converted to products, the change in enthalpy is the same whether the reaction takes place in one step or in a series of steps. (Enthalpy is a state function. It doesn’t matter how you get there, only where you start and end.)
  • 29. 29 C (graphite) + 1/2O2 (g) CO (g) CO (g) + 1/2O2 (g) CO2 (g) C (graphite) + O2 (g) CO2 (g)
  • 30. 30 Calculate the standard enthalpy of formation of CS2 (l) given that: C(graphite) + O2 (g) CO2 (g) DH0 = -393.5 kJ/mol rxn S(rhombic) + O2 (g) SO2 (g) DH0 = -296.1 kJ/mol rxn CS2(l) + 3O2 (g) CO2 (g) + 2SO2 (g) DH0 = -1072 kJ/mol rxn 1. Write the enthalpy of formation reaction for CS2 C(graphite) + 2S(rhombic) CS2 (l) 2. Add the given rxns so that the result is the desired rxn. rxn C(graphite) + O2 (g) CO2 (g) DH0 = -393.5 kJ/mol 2S(rhombic) + 2O2 (g) 2SO2 (g) DH0 = -296.1 kJ/mol x 2 rxn CO2(g) + 2SO2 (g) CS2 (l) + 3O2 (g) DH0 = +1072 kJ/mol rxn + C(graphite) + 2S(rhombic) CS2 (l) DH0 = -393.5 + (2x-296.1) + 1072 = 86.3 kJ/mol rxn
  • 31. 31 Benzene (C6H6) burns in air to produce carbon dioxide and liquid water. How much heat is released per mole of benzene combusted? The standard enthalpy of formation of benzene is 49.04 kJ/mol. 2C6H6 (l) + 15O2 (g) 12CO2 (g) + 6H2O (l) DH0 rxn nDH0 (products) f = S mDH0 (reactants) f S - DH0 rxn 6DH0 (H2O) f 12DH0 (CO2) f = [ + ] - 2DH0 (C6H6) f [ ] DH0 rxn = [ 12x–393.5 + 6x–187.6 ] – [ 2x49.04 ] = -5946 kJ -5946 kJ 2 mol = - 2973 kJ/mol C6H6
  • 32. 32 Chemistry in Action: Bombardier Beetle Defense C6H4(OH)2 (aq) + H2O2 (aq) C6H4O2 (aq) + 2H2O (l) DH0 = ? C6H4(OH)2 (aq) C6H4O2 (aq) + H2 (g) DH0 = 177 kJ/mol H2O2 (aq) H2O (l) + ½O2 (g) DH0 = -94.6 kJ/mol H2 (g) + ½ O2 (g) H2O (l) DH0 = -286 kJ/mol DH0 = 177 - 94.6 – 286 = -204 kJ/mol Exothermic!
  • 33. 33 The enthalpy of solution (DHsoln) is the heat generated or absorbed when a certain amount of solute dissolves in a certain amount of solvent. DHsoln = Hsoln - Hcomponents Which substance(s) could be used for melting ice? Which substance(s) could be used for a cold pack?
  • 34. 34 The Solution Process for NaCl DHsoln = Step 1 + Step 2 = 788 – 784 = 4 kJ/mol