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Energy Relationships
in Chemical Reactions
Energy is the capacity to do work
•   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
•   Electrical energy is the energy associated with
    the flow of electrons
•   Potential energy is the energy available by virtue
    of an object’s position
Thermochemical Definitions
System : That part of the Universe whose change we are
          going to measure.
Surroundings : Every thing else that is relevant to the change
                  is defined as the “surroundings”.
Internal Energy : The sum of the kinetic and potential energy
                     of all the particles in a system.
Heat (q) : Is the energy transferred between a system
           and it’s surroundings as result in the differences in
           their temperatures only!
Work (w) : The energy transferred when an object is moved by
             a force.

  Therefore:            E=q+w
Energy Changes in Chemical Reactions
Heat is the transfer of thermal energy between two bodies that
are at different temperatures.

Temperature is a measure of the thermal energy.

               Temperature = Thermal Energy




            900C
                                             400C
                                    greater thermal energy
                                                             6.2
Change in Enthalpy =                            H
 Enthalpy is defined as the system’s internal energy
 plus the product of its pressure and volume.
                       H = E + PV
 For a change in enthalpy:
                  H =         E+          PV
 Exothermic and Endothermic Reactions:
                 H = H final - H initial = H products - H reactants

Exothermic : H final          H initial         H        0
Endothermic : H final         H initial         H        0
For processes occurring at constant
pressure the enthalpy change equals
the heat gained or lost.

     H = qp

enthalpy of reaction or heat of
reaction. (Energy change + small
correction factor.)
Constant-Pressure Calorimetry




                                 qsys = qwater + qcal + qrxn
                                 qsys = 0
                                 qrxn = - (qwater + qcal)
                                 qwater = ms t
                                 qcal = Ccal t

                                 Reaction at Constant P
                                         H = qrxn

No heat enters or leaves!
                                                           6.4
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 = ms
                                 Heat (q) absorbed or released:

                                            q = ms t
                                               q=C t
                                           t = tfinal - tinitial

                                                                   6.4
How much heat is given off when an 869 g iron bar cools
from 940C to 50C?

s of Fe = 0.444 J/g • 0C

 t = tfinal – tinitial = 50C – 940C = -890C

q = ms t = 869 g x 0.444 J/g • 0C x –890C = -34,000 J
0
The standard enthalpy of reaction ( Hrxn ) is the enthalpy of
a reaction carried out at 1 atm.

                    aA + bB       cC + dD

    Ho = [ c Hof (C) + d Hof (D) ] - [ a Ho (A) + b Ho (B) ]
     rxn                                  f          f


         Ho =
          rxn    n Hof (products) -   m Hfo (reactants)

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.)
Hess’s Law of Heat Summation
 The enthalpy change of an overall process is the sum of
       the enthalpy changes of its individual steps.

Example:
 Problem: Calculate the energy involved in the oxidation of elemental
  sulfur to sulfur trioxide from reactions:
 1) S (s) + O2 (g)                     SO2 (g)    H1 = -296.0 kJ

 2) 2 SO2 (g) + O2 (g)              2 SO3 (g)     H2 = -198.2 kJ

 3) S (s) + 3/2 O2 (g)              SO3 (g)        H3 = ?
Hess’s Law of Heat Summation
 The enthalpy change of an overall process is the sum of
       the enthalpy changes of its individual steps.

Example:
  Problem: Calculate the energy involved in the oxidation of elemental
   sulfur to sulfur trioxide from reactions:
2 X 1) S (s) + O2 (g)                   SO2 (g)    2H1 = -296.0 kJ X2
+
  2) 2 SO2 (g) + O2 (g)                2 SO3 (g)   H2 = -198.2 kJ

 3) S (s) + 3/2 O2 (g)               SO3 (g)       H3 = ?

                            H3 = 2H1 + H2

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Chem 1045 Lab hess-s_law

  • 2. Energy is the capacity to do work • 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 • Electrical energy is the energy associated with the flow of electrons • Potential energy is the energy available by virtue of an object’s position
  • 3. Thermochemical Definitions System : That part of the Universe whose change we are going to measure. Surroundings : Every thing else that is relevant to the change is defined as the “surroundings”. Internal Energy : The sum of the kinetic and potential energy of all the particles in a system. Heat (q) : Is the energy transferred between a system and it’s surroundings as result in the differences in their temperatures only! Work (w) : The energy transferred when an object is moved by a force. Therefore: E=q+w
  • 4. Energy Changes in Chemical Reactions Heat is the transfer of thermal energy between two bodies that are at different temperatures. Temperature is a measure of the thermal energy. Temperature = Thermal Energy 900C 400C greater thermal energy 6.2
  • 5. Change in Enthalpy = H Enthalpy is defined as the system’s internal energy plus the product of its pressure and volume. H = E + PV For a change in enthalpy: H = E+ PV Exothermic and Endothermic Reactions: H = H final - H initial = H products - H reactants Exothermic : H final H initial H 0 Endothermic : H final H initial H 0
  • 6. For processes occurring at constant pressure the enthalpy change equals the heat gained or lost. H = qp enthalpy of reaction or heat of reaction. (Energy change + small correction factor.)
  • 7. Constant-Pressure Calorimetry qsys = qwater + qcal + qrxn qsys = 0 qrxn = - (qwater + qcal) qwater = ms t qcal = Ccal t Reaction at Constant P H = qrxn No heat enters or leaves! 6.4
  • 8. 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 = ms Heat (q) absorbed or released: q = ms t q=C t t = tfinal - tinitial 6.4
  • 9. How much heat is given off when an 869 g iron bar cools from 940C to 50C? s of Fe = 0.444 J/g • 0C t = tfinal – tinitial = 50C – 940C = -890C q = ms t = 869 g x 0.444 J/g • 0C x –890C = -34,000 J
  • 10. 0 The standard enthalpy of reaction ( Hrxn ) is the enthalpy of a reaction carried out at 1 atm. aA + bB cC + dD Ho = [ c Hof (C) + d Hof (D) ] - [ a Ho (A) + b Ho (B) ] rxn f f Ho = rxn n Hof (products) - m Hfo (reactants) 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.)
  • 11. Hess’s Law of Heat Summation The enthalpy change of an overall process is the sum of the enthalpy changes of its individual steps. Example: Problem: Calculate the energy involved in the oxidation of elemental sulfur to sulfur trioxide from reactions: 1) S (s) + O2 (g) SO2 (g) H1 = -296.0 kJ 2) 2 SO2 (g) + O2 (g) 2 SO3 (g) H2 = -198.2 kJ 3) S (s) + 3/2 O2 (g) SO3 (g) H3 = ?
  • 12. Hess’s Law of Heat Summation The enthalpy change of an overall process is the sum of the enthalpy changes of its individual steps. Example: Problem: Calculate the energy involved in the oxidation of elemental sulfur to sulfur trioxide from reactions: 2 X 1) S (s) + O2 (g) SO2 (g) 2H1 = -296.0 kJ X2 + 2) 2 SO2 (g) + O2 (g) 2 SO3 (g) H2 = -198.2 kJ 3) S (s) + 3/2 O2 (g) SO3 (g) H3 = ? H3 = 2H1 + H2