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The reaction for the oxidation of sulfur dioxide, SO2, is shown below - VCE - SSCE Chemistry - Question 8 - 2021 - Paper 1

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The reaction for the oxidation of sulfur dioxide, SO2, is shown below. 2SO2(g) + O2(g) ⇌ 2SO3(g) ΔH = -197 kJ mol⁻¹ 1. 00 mol of SO2 and 1.00 mol of oxygen, O2, ar... show full transcript

Worked Solution & Example Answer:The reaction for the oxidation of sulfur dioxide, SO2, is shown below - VCE - SSCE Chemistry - Question 8 - 2021 - Paper 1

Step 1

Calculate Kc: 1.00 mol of SO2 and 1.00 mol of O2 in a 3.00 L container.

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Answer

To find the equilibrium constant, Kc, we first need to determine the concentrations of all species at equilibrium.

  • Initial concentrations:

    [SO2] = 1.00 mol / 3.00 L = 0.33 M,

    [O2] = 1.00 mol / 3.00 L = 0.33 M,

    [SO3] = 0 M.

  • Change in concentrations: Let x be the amount of SO2 that reacts.

  • At equilibrium:

    • [SO2] = 0.33 - x,
    • [O2] = 0.33 - x,
    • [SO3] = 2x.

Given that the mass of SO3 at equilibrium is 20.0 g, we convert this to moles: extMolesofSO3=20.0g80.1g/mol=0.25mol ext{Moles of SO3} = \frac{20.0 g}{80.1 g/mol} = 0.25 mol.

This means that at equilibrium, [SO3] = 0.25 mol / 3.00 L = 0.083 M.

Substituting this into the equilibrium relationship:

  • From the stoichiometry of the reaction, we have: [SO3] = 2x, thus: 0.25=2xx=0.125 0.25 = 2x \to x = 0.125.

Now substituting into the equilibrium concentrations:

  • [SO2] = 0.33 - 0.125 = 0.205 M,
  • [O2] = 0.33 - 0.125 = 0.205 M.

Finally, we can determine Kc: Kc=[SO3]2[SO2]2[O2]=(0.083)2(0.205)2(0.205)=0.38M1K_c = \frac{[SO3]^2}{[SO2]^2[O2]} = \frac{(0.083)^2}{(0.205)^2(0.205)} \\ = 0.38 M^{-1}.

Step 2

Draw the Maxwell-Boltzmann distribution curve for SO3.

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Answer

To draw the Maxwell-Boltzmann distribution curve for SO3 at a significantly lower temperature, follow these guidelines:

  • The peak of the curve should be shifted to the left compared to that of SO2.
  • The height of the new peak should be lower, indicating fewer particles have higher kinetic energy due to the lower temperature.

This results in a curve that is broader and shifted leftward, emphasizing the lower average kinetic energy of the SO3 molecules at the lower temperature.

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