Calculating Enthalpy Change - Section 16.4
Quiz
Calculating Enthalpy Change

� A calorimeter can be used to measure the heat evolved or absorbed during the reaction
� However, for reactions that occur over millions of years it is virtually impossible to measure enthalpy change
� Chemists can use a theoretical way to determine change in H

Hess�s Law
� Hess�s law states that if you can add two more thermochemical equations to produce a final equation for the reaction, then the sum of the enthalpy change for the individual reactions is the enthalpy change for the final reaction
Applying Hess�s Law
� Ways of applying Hess�s Law�..
EXAMPLE: calculate the energy reaction that produces SO
3?
GIVEN: 2S(s) + 3O
2( g) ----------> 2SO3(g)   change in H = ?
                      A) S(s) + O
2(g) ----------> SO2(g)     change in H = -297 kJ
                      B) 2SO
3(g) ----------> 2SO2(g) + O2(g)   change in H = 198 kJ
    Because the given equation is written with 2 mols of sulfur reacting, equation A must also be written with 2 mols of sulfur reacting.  So, you must multiply all the coefficients in equation A by 2.  The enthalpy change must also be doubled because 2 mols of sulfur will create twice the energy.  Equation A now becomes equation C.
           C) 2S(s) + 2O
2(g)----------> 2SO2(g)    change in H = -594 kJ

     Equation B must be reversed because the desired product is SO3 , NOT the reactant.  Remember that when you reverse an equation, the sign of change in H changes.  The reverse of equation B is equation D.
           D) 2SO
2(g) + O2(g) ---------> 2SO3(g)      change in H = -198 kJ

Now add equations C and D.  Any terms that are common on both sides of the equati?on should be canceled.
            C) 2S(s) + 2O2(g)----------> 2SO2(g)    change in H = -594 kJ
       +   D) 2SO2(g) + O2(g) ---------> 2SO3(g)   change in H = -198 kJ
        -----------------------------------------------------------------------
           2S(s) + 3O
2(g) ---------->   2SO3(g)     change in H = -792 kJ

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Standard Enthalpy (Heat) of Formation
� The standard state of a substance means the normal physical state of the substance at one atmospheric pressure and at 298 K (25�C).
� The change in H value for these reactions is called the
standard enthalpy (heat) of formation of the compound
� The standard enthalpy of formation (change in H�
f) is based on an arbitrary standard
� Every free element in its standard state is assigned a standard enthalpy of formation of exactly 0.0 kJ
� This is similar to 0.0 �C being the arbitrary assignment for the freezing point of water
� The formation equations used to find the standard enthalpy of formation can be added together by applying
Hess�s Law and find the enthalpy change for a reaction
EXAMPLE: Find the change in H�rxn for the equation H
2S(g) + 4F2(g) -----------> 2HF(g) + SF6(g)
             You are given the following equations
           A) 1/2 H
2(g) + 1/2 F2(g) ----------> HF(g)   change in H�f = -273 kJ
           B) S(s) + 3F
2(g) -------------> SF6(g)      change in H�f = -1220 kJ
           C) H
2(g) + S(s) ------------>H2S(g)     change in H�f = -21 kJ

Because there are two moles of HF are required, equation A must be doubled.
           A)  H
2(g) + F2(g) ----------> 2HF(g)     change in H�f = -546 kJ

In the desired equation, H2S is a reactant.  Therefore, equation C must be reversed.
           C) H
2S(g) --------------> H2(g) + S(s)      change in H�f = 21 kJ

Now the three equations can be added.
           A)  H2(g) + F2(g) ----------> 2HF(g)     change in H�
f = -546 kJ
           B) S(s) + 3F2(g) -------------> SF6(g)      change in H�
f = -1220 kJ
           C) H2S(g) --------------> H2(g) + S(s)      change in H�
f = 21 kJ
------------------------------------------------------------------------------------
         H2S(g) + 4F2(g) ------------> 2HF(g) + SF6(g)  change in H�
rxn = -1745 kJ

This process can be summed up in the equation
             ?H�rxn = the sum of the change in H�
f (products) - the sum of the change in H�f (reactants)

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