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DP IB Chemistry: HL

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Home / IB / Chemistry: HL / DP / Topic Questions / 15. Energetics/Thermochemistry (HL only) / 15.2 Entropy & Spontaneity / Structured Questions: Paper 2


15.2 Entropy & Spontaneity

Question 1a

Marks: 5
a)
This question looks at how the entropy change of water varies with temperature.

q1a_15-2_ib_hl_medium_sq
i)
The entropy of water is zero when the temperature is zero Kelvin. Explain why, with reference to the water molecules in your answer.

ii)
Explain why the entropy change, ΔS, is larger at temperature T2 than at temperature T1

iii)
On the figure, draw the boiling point (Tb) of water on the appropriate axis.
.
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    Key Concepts
    Entropy

    Question 1b

    Marks: 2
    b)

    Standard entropies can be used to calculate the entropy change of a reaction, ΔS.
    For example, for the formation of nitrogen monoxide from nitrogen and oxygen. 

    NO (g) + O3 (g) → NO2 (g) + O2 (g)

    Substance

    Entropy value (J K-1 mol-1)

    NO (g)

    210.8

    O2 (g)

    205.2

    NO2 (g)

    240.0

    O3 (g)

    238.9

       

    Use the data given to calculate the entropy change of the reaction between nitric oxide and ozone at 298K.
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      Question 1c

      Marks: 6
      c)
      The contact process is a method used industrially to form sulfur trioxide, by reacting sulfur dioxide and oxygen together over a vanadium(V) oxide catalyst.
                 

      The equation for this reaction is shown below:

      2SO2 (g) + O2 (g) 2SO3 (g)

      Substance

      Formation enthalpy values (kJ mol-1)

      SO2 (g)

      -297

      SO3 (g)

      -395

      i)
      Calculate the standard enthalpy change of the contact process reaction using the data provided.

      ii)
      The standard entropy change of this reaction is –189 J K-1 mol-1. Use this value and your enthalpy value from part (i) calculate a value for the free energy change for this reaction at 298K.

      iii)
      Use your answer to part (ii) to explain whether the reaction is feasible at 298 K.

       

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        Question 1d

        Marks: 2
        d)

        The value for the free energy change is an indication whether the forward or backwardreaction is favoured.

        The curve that we would expect to see for the reaction between sulfur dioxide and oxygen is shown below.

         Explain why the curve for this reaction is shifted to the right hand side.

        q1d_15-2_sq_ib_hl_medium 

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          Question 2a

          Marks: 3
          a)
          The enthalpy of solution of sodium chloride is +4 kJ mol-1. Explain why the free energy change for dissolving sodium chloride in water is negative, despite the enthalpy change being a positive value.
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            Key Concepts
            Entropy

            Question 2b

            Marks: 3
            b)
            Calcium carbonate thermally decomposes to form calcium oxide and carbon dioxide, as shown below:

            CaCO3 (s) → CaO (s) + CO2 (g)

            The enthalpy change of the above reaction is ΔHΘ = +178 kJ mol-1and the entropy change is ΔSΘ = +161 J K-1 mol-1 

            Calculate the temperature at which the free-energy change, ΔGΘ, for this process is zero. 

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              Key Concepts
              Spontaneous Reactions

              Question 2c

              Marks: 6
              c)

              Some ionic compounds such as potassium chloride, KCl, will dissolve in water at room temperature in an endothermic process. 

              KCl (s) → K+ (aq) + Cl- (aq)                ΔH = +16 kJ mol-1

              Substance

              Entropy value J K-1 mol-1

              KCl (s)

              +83

              K+ (aq)

              +103

              Cl- (aq)

              +57

              i)
              Using the data provided, prove that this process is feasible at 298 K.

              ii)
              Use your knowledge of structure and bonding to explain why ΔHΘ is positive for this process.

               

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                Question 2d

                Marks: 3
                d)
                Diamond and graphite are both allotropes of carbon.

                The conversion of graphite into diamond is represented as follows

                 Carbon (graphite) → Carbon (diamond)

                Use this data below to calculate values for ΔH and ΔS for the reaction. Use these values to explain why this reaction is not feasible under standard pressure at any temperature.

                 

                C (graphite)

                C (diamond)

                ΔH (kJ mol-1)

                0

                +1.9

                ΔS (J K-1 mol-1)

                +5.7

                +2.4

                 

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                  Question 3a

                  Marks: 3
                  a)

                  Ethanol is used in large quantities in the production of alcoholic beverages and as a fuel.

                  The combustion of ethanol is represented by the equation           

                              CH3CH2OH (l) + 3O2 (g) → 2CO2 (g) + 3H2O (g) 

                  The standard entropy, SΘ, of O2 (g) is 205.2 J K-1 mol-1

                  Using the data given and Section 12 in the Data Booklet, determine the entropy change, ΔSΘ, for the combustion of  ethanol at 298K. 

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                    Key Concepts
                    Spontaneous Reactions

                    Question 3b

                    Marks: 3
                    b)
                    Using the enthalpy of combustion for ethanol from Section 13 in the Data Booklet and the ΔSϴ determined in part (a), calculate the standard free energy for the combustion of ethanol.
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                      Question 3c

                      Marks: 3
                      c)
                      Explain whether changing the temperature for the combustion of ethanol will alter the spontaneity of the reaction. 
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                        Key Concepts
                        Spontaneous Reactions

                        Question 3d

                        Marks: 1
                        d)
                        Using Section 12 of the Data Booklet, explain the difference in the standard entropy values between methanol, CH3OH and ethanol, CH3CH2OH. 
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                          Key Concepts
                          Hybrid Orbitals

                          Question 4a

                          Marks: 5
                          a)
                          Ammonia, NH3, is produced by the Haber process and is an important chemical in the manufacture of fertilisers and clearing products. 

                          Ammonia gas can react with oxygen to produce nitrogen monoxide and steam, and is the first step in the Ostwald process which produces nitric acid. 

                          i)
                          Write an equation for the reaction of ammonia with oxygen to produce nitrogen monoxide and steam. 

                          ii)
                          Using the given values determine the entropy for change for this reaction at 298 K.

                          Substance

                          Entropy values (J K-1 mol-1)

                          NH3 (g)

                          192.8

                          O2 (g)

                          205.2

                          H2O (g)

                          188.8

                          NO (g)

                          210.8

                           

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                            Question 4b

                            Marks: 1
                            b)
                            Explain why the standard entropy change for the reaction is positive.
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                              Key Concepts
                              Entropy

                              Question 4c

                              Marks: 6
                              c)

                              The second step in the Ostwald process produces nitrogen dioxide as shown in the equation 

                              2NO (g) + O2 (g) → 2NO2 (g)             ΔHϴ = -112 kJ mol-1   

                              The standard entropy for NO2 (g) is 240.0 J K-1 mol-1

                              Determine the value for the free energy change for this reaction at 298 K using the information given

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                                Question 4d

                                Marks: 2
                                d)
                                Explain whether changing the temperature for the production of nitrogen dioxide will alter the spontaneity of the reaction 
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                                  Key Concepts
                                  Spontaneous Reactions

                                  Question 5a

                                  Marks: 4
                                  a)

                                  The boiling point of a liquid is the temperature at which its solid and liquid phases are in equilibrium as shown in the equation for the vaporisation of water. 

                                              H2O (l) → H2O (g) 

                                  Use Section 12 of the Data Booklet to determine values for the enthalpy change, ΔHϴ, and entropy change, ΔSϴ, for the reaction at 298 K. 
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                                    Question 5b

                                    Marks: 3
                                    b)
                                    Use your answer to part (a) to estimate a temperature, in K, that the reaction becomes feasible.
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                                      Question 5c

                                      Marks: 1
                                      c)
                                      Explain how your answer to part (b) could be made more accurate. 
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                                        Question 5d

                                        Marks: 2
                                        d)

                                        Explain why the reaction is spontaneous above the boiling point of water.

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                                          Key Concepts
                                          Spontaneous Reactions