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Thermochemical Calculations
CA Standards
Students know energy is released when a material
condenses or freezes and is absorbed when a material
evaporates or melts.

Students know how to solve problems involving heat flow
and temperature changes, using known values of specific
heat and latent heat of phase change.
Units for Measuring Heat
The Joule is the SI system unit for
measuring heat:
                                    2
                        1 kg m
 1 Joule 1 newton meter      2
                           s
The calorie is the heat required to raise
the temperature of 1 gram of water by
1 Celsius degree

       1calorie 4.18 Joules
Specific Heat

The amount of heat
required to raise
the temperature of
one gram of
substance by one
degree Celsius.
                             5   6                    5   6
                         4            7           4            7

                     3                    8   3                    8

                     2                    9   2                    9
                         1           11           1           10
Calculations Involving Specific Heat

                                  Q
 Q m     T cp      OR   cp
                             m        T
        cp = Specific Heat

        Q = Heat lost or gained

         T = Temperature change

        m = Mass
Specific Heat
The amount of heat required to raise the temperature
of one gram of substance by one degree Celsius.
     Substance                   Specific Heat (J/g·K)
     Water (liquid)                       4.18
     Ethanol (liquid)                     2.44
     Water (solid)                        2.06
     Water (vapor)                        1.87
     Aluminum (solid)                    0.897
     Carbon (graphite,solid)             0.709
     Iron (solid)                        0.449
     Copper (solid)                      0.385
     Mercury (liquid)                    0.140
     Lead (solid)                        0.129
     Gold (solid)                        0.129
Latent Heat of Phase Change
Molar Heat of Fusion
    The energy that must be absorbed in
    order to convert one mole of solid to
    liquid at its melting point.

Molar Heat of Solidification
    The energy that must be removed in
    order to convert one mole of liquid to
    solid at its freezing point.
Latent Heat of Phase Change #2
Molar Heat of Vaporization
  The energy that must be absorbed in
  order to convert one mole of liquid to
  gas at its boiling point.

Molar Heat of Condensation
  The energy that must be removed in
  order to convert one mole of gas to
  liquid at its condensation point.
Latent Heat – Sample Problem
Problem: The molar heat of fusion of water is
6.009 kJ/mol. How much energy is needed to convert
  60 grams of ice at 0 C to liquid water at 0 C?


 60 g H 2O 1 mol H 2O 6.009 kJ
                                   20 kiloJoules
           18.02 g H 2O 1 mol H 2O

   Mass        Molar        Heat
   of ice     Mass of         of
               water        fusion
Heat of Solution
The Heat of Solution is the amount of heat
energy absorbed (endothermic) or released
(exothermic) when a specific amount of
solute dissolves in a solvent.

       Substance   Heat of Solution
                      (kJ/mol)
          NaOH          -44.51
         NH4NO3         +25.69
          KNO3          +34.89
           HCl          -74.84

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Thermochemical calcs

  • 2. CA Standards Students know energy is released when a material condenses or freezes and is absorbed when a material evaporates or melts. Students know how to solve problems involving heat flow and temperature changes, using known values of specific heat and latent heat of phase change.
  • 3. Units for Measuring Heat The Joule is the SI system unit for measuring heat: 2 1 kg m 1 Joule 1 newton meter 2 s The calorie is the heat required to raise the temperature of 1 gram of water by 1 Celsius degree 1calorie 4.18 Joules
  • 4. Specific Heat The amount of heat required to raise the temperature of one gram of substance by one degree Celsius. 5 6 5 6 4 7 4 7 3 8 3 8 2 9 2 9 1 11 1 10
  • 5. Calculations Involving Specific Heat Q Q m T cp OR cp m T cp = Specific Heat Q = Heat lost or gained T = Temperature change m = Mass
  • 6. Specific Heat The amount of heat required to raise the temperature of one gram of substance by one degree Celsius. Substance Specific Heat (J/g·K) Water (liquid) 4.18 Ethanol (liquid) 2.44 Water (solid) 2.06 Water (vapor) 1.87 Aluminum (solid) 0.897 Carbon (graphite,solid) 0.709 Iron (solid) 0.449 Copper (solid) 0.385 Mercury (liquid) 0.140 Lead (solid) 0.129 Gold (solid) 0.129
  • 7. Latent Heat of Phase Change Molar Heat of Fusion The energy that must be absorbed in order to convert one mole of solid to liquid at its melting point. Molar Heat of Solidification The energy that must be removed in order to convert one mole of liquid to solid at its freezing point.
  • 8. Latent Heat of Phase Change #2 Molar Heat of Vaporization The energy that must be absorbed in order to convert one mole of liquid to gas at its boiling point. Molar Heat of Condensation The energy that must be removed in order to convert one mole of gas to liquid at its condensation point.
  • 9. Latent Heat – Sample Problem Problem: The molar heat of fusion of water is 6.009 kJ/mol. How much energy is needed to convert 60 grams of ice at 0 C to liquid water at 0 C? 60 g H 2O 1 mol H 2O 6.009 kJ 20 kiloJoules 18.02 g H 2O 1 mol H 2O Mass Molar Heat of ice Mass of of water fusion
  • 10. Heat of Solution The Heat of Solution is the amount of heat energy absorbed (endothermic) or released (exothermic) when a specific amount of solute dissolves in a solvent. Substance Heat of Solution (kJ/mol) NaOH -44.51 NH4NO3 +25.69 KNO3 +34.89 HCl -74.84