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The equation for the reaction between ammonia and oxygen is shown - AQA - A-Level Chemistry - Question 3 - 2018 - Paper 1

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The equation for the reaction between ammonia and oxygen is shown. 4NH₃(g) + 5O₂(g) ⇌ 4NO(g) + 6H₂O(g) ΔH = -905 kJ mol⁻¹ Some standard entropies are given in Tabl... show full transcript

Worked Solution & Example Answer:The equation for the reaction between ammonia and oxygen is shown - AQA - A-Level Chemistry - Question 3 - 2018 - Paper 1

Step 1

Calculate the entropy change for the reaction between ammonia and oxygen.

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Answer

To calculate the entropy change (ΔS) for the reaction, we use the formula:

ΔS=S°productsS°reactantsΔS = S°_{products} - S°_{reactants}

Applying this formula:

ΔS=[4imesS°(NO)+6imesS°(H2O)][4imesS°(NH3)+5imesS°(O2)]ΔS = [4 imes S°(NO) + 6 imes S°(H_2O)] - [4 imes S°(NH_3) + 5 imes S°(O_2)]

Substituting the values:

ΔS=[4imes211+6imes189][4imes193+5imes205]ΔS = [4 imes 211 + 6 imes 189] - [4 imes 193 + 5 imes 205]

Calculating each part:

  1. Products: 4imes211+6imes189=844+1134=19784 imes 211 + 6 imes 189 = 844 + 1134 = 1978
  2. Reactants: 4imes193+5imes205=772+1025=17974 imes 193 + 5 imes 205 = 772 + 1025 = 1797

Thus,

ΔS=19781797=181extJK1extmol1ΔS = 1978 - 1797 = 181 ext{ J K}^{-1} ext{ mol}^{-1}

Step 2

Calculate a value for the Gibbs free-energy change (ΔG), in kJ mol⁻¹, for the reaction between ammonia and oxygen at 600 °C.

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Answer

To find the Gibbs free energy change (ΔG), we use the formula:

ΔG=ΔHTΔSΔG = ΔH - TΔS

Where:

  • ΔH = -905 kJ mol⁻¹ (given)
  • T = 600 °C = 873 K (convert to Kelvin)
  • ΔS = 181 J K⁻¹ mol⁻¹ × (1 kJ / 1000 J) = 0.181 kJ K⁻¹ mol⁻¹

Now substituting values:

ΔG=905(873imes0.181)ΔG = -905 - (873 imes 0.181)

Calculating:

ΔG=905158.453=1063.453extkJmol1ΔG = -905 - 158.453 = -1063.453 ext{ kJ mol}^{-1}

Thus,

ΔG1063.5extkJmol1ΔG ≈ -1063.5 ext{ kJ mol}^{-1}

Step 3

Explain how this change affects the value of ΔG for the reaction.

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Answer

As the temperature increases, the term TΔSTΔS in the Gibbs free energy equation becomes larger, meaning that the value of ΔGΔG becomes more negative. A more negative value of ΔGΔG indicates a more favorable reaction, potentially leading to an increased reaction rate or extent.

Step 4

Describe the stages of this alternative route.

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Answer

  1. Adsorption: Reactants (NH₃ and O₂) are absorbed onto the active sites of the platinum catalyst surface.
  2. Reaction: The catalyst provides an alternative pathway with lower activation energy, allowing the reaction to occur more readily.
  3. Desorption: Products (NO and H₂O) are released from the catalyst surface, freeing the active sites for further reactions.

Step 5

Deduce the change in oxidation state of nitrogen, when NH₃ is oxidised to NO.

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Answer

In NH₃, nitrogen has an oxidation state of -3. In NO, nitrogen has an oxidation state of +2. Therefore, the change in oxidation state is:

ΔOxidation State=+2(3)=+5ΔOxidation~State = +2 - (-3) = +5

This indicates an increase in oxidation state by 5.

Step 6

Give an equation for this reaction.

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Answer

The equation for the production of nitrous oxide (N₂O) from ammonia and oxygen is:

ightarrow N₂O(g) + 2H₂O(g)$$

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