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The enthalpy change of formation of Mn(NO₃)₂(s) is -696 kJ mol⁻¹ - CIE - A-Level Chemistry - Question 9 - 2014 - Paper 1

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The enthalpy change of formation of Mn(NO₃)₂(s) is -696 kJ mol⁻¹. The enthalpy change of formation of MnO₂(s) is -520 kJ mol⁻¹. The enthalpy change of formation of N... show full transcript

Worked Solution & Example Answer:The enthalpy change of formation of Mn(NO₃)₂(s) is -696 kJ mol⁻¹ - CIE - A-Level Chemistry - Question 9 - 2014 - Paper 1

Step 1

Calculate the enthalpy change for the reaction

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Answer

To find the standard enthalpy change of the reaction, we can use the formula:

ΔH=ΔHf(products)ΔHf(reactants)\Delta H = \sum \Delta H_f \text{(products)} - \sum \Delta H_f \text{(reactants)}

In this reaction:

  • Reactants: Mn(NO₃)₂(s)
  • Products: MnO₂(s) and 2NO₂(g)

Thus, the enthalpy change is calculated as follows:

  1. Enthalpy of formation for the reactant:

    • Mn(NO₃)₂(s): -696 kJ/mol
  2. Enthalpy of formation for the products:

    • MnO₂(s): -520 kJ/mol
    • NO₂(g): 2 × 33 kJ/mol = 66 kJ/mol
  3. Summing these:

    • Total for products = -520 kJ/mol + 66 kJ/mol = -454 kJ/mol
  4. Now plug in these values into the formula: ΔH=(454kJ/mol)(696kJ/mol)\Delta H = (-454 \, \text{kJ/mol}) - (-696 \, \text{kJ/mol}) ΔH=454kJ/mol+696kJ/mol\Delta H = -454 \, \text{kJ/mol} + 696 \, \text{kJ/mol} ΔH=242kJ/mol\Delta H = 242 \, \text{kJ/mol}

Thus, the standard enthalpy change for this reaction is +242 kJ/mol.

Step 2

Final Answer

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Answer

Therefore, the value of the standard enthalpy change of the reaction is D: +242 kJ mol⁻¹.

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