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Methanol can be manufactured in a reversible reaction as shown - AQA - A-Level Chemistry - Question 6 - 2020 - Paper 1

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Methanol can be manufactured in a reversible reaction as shown. CO(g) + 2H2(g) ⇌ CH3OH(g) ΔH° = -91 kJ mol⁻¹ Figure 3 shows how the partial pressures change with ... show full transcript

Worked Solution & Example Answer:Methanol can be manufactured in a reversible reaction as shown - AQA - A-Level Chemistry - Question 6 - 2020 - Paper 1

Step 1

Draw a cross (x) on the appropriate axis of Figure 3 when the mixture reaches equilibrium.

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Answer

Place the cross just below the line of the equilibrium where the partial pressures of CH3OH, H2, and CO stabilize.

Step 2

Calculate the partial pressure, in kPa, of hydrogen in the equilibrium mixture.

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Answer

Given that the total pressure is 1.04 × 10⁴ kPa and the amounts of CO, H2, and CH3OH at equilibrium:

  1. Calculate moles of H2:

    • Initial moles of CO = 0.230 mol
    • Mole ratio of H2 to CO from the reaction is 2:1, hence initial moles of H2 = 2 × 0.230 mol = 0.460 mol
    • At equilibrium, moles of CO = 0.120 mol
    • Moles of H2 reacted = (0.230 - 0.120) mol × 2 = 0.220 mol
    • Moles of H2 remaining = 0.460 mol - 0.220 mol = 0.240 mol
  2. Calculate the individual partial pressures:

    • Using the total pressure, partial pressure of H2 = (moles of H2 / total moles at equilibrium) × total pressure

    • Total moles = 0.120 + 0.240 + moles of CH3OH produced (from reaction = 0.110 mol)

    • Partial pressure of H2 = (0.240 mol / 0.470 mol) × 1.04 × 10⁴ kPa

    • Partial pressure of H2 = 0.480 × 1.04 × 10⁴ kPa ≈ 5.11 × 10³ kPa.

Step 3

Give an expression for the equilibrium constant (Kc) for this reaction.

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Answer

The equilibrium constant expression (Kc) for the reaction is given by:

Kc=[CH3OH][CO][H2]2K_c = \frac{[CH_3OH]}{[CO][H_2]^2}

where [ ] denotes the concentration of each species at equilibrium.

Step 4

State the effect, if any, on the partial pressure of methanol and on the value of Kc.

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Answer

Effect on partial pressure of methanol:

  • The addition of more carbon monoxide shifts the equilibrium to the right, increasing the partial pressure of methanol.

Effect on value of Kc:

  • The value of Kc remains unchanged as it is only affected by temperature.

Step 5

State the effect, if any, of the addition of a catalyst on the value of Kc for this equilibrium.

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Answer

Effect on value of Kc:

  • The addition of a catalyst has no effect on the value of Kc as catalysts speed up the rate of both forward and backward reactions equally.

Explanation:

  • This means that the position of equilibrium is reached faster, but the concentrations of reactants and products at equilibrium remain unaffected.

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