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The enthalpy changes H1, H2, and H₃ cannot be identified without a reaction diagram or further context.

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(a) (i)
The enthalpy changes ΔH1\Delta H_1, ΔH2\Delta H_2, and ΔH3\Delta H_3 cannot be identified without a reaction diagram or further context.

(a) (ii)
Assuming a Hess's Law cycle where ΔH3\Delta H_3 is the sum of ΔH1\Delta H_1 and ΔH2\Delta H_2:

  1. State the assumed relationship.

    ΔH3=ΔH1+ΔH2\Delta H_3 = \Delta H_1 + \Delta H_2
  2. Substitute the given values.

    ΔH3=16 kJmol−1+(−770 kJmol−1)\Delta H_3 = 16 \text{ kJmol}^{-1} + (-770 \text{ kJmol}^{-1})
  3. Calculate the result.

    ΔH3=16−770 kJmol−1\Delta H_3 = 16 - 770 \text{ kJmol}^{-1} ΔH3=−754 kJmol−1\Delta H_3 = -754 \text{ kJmol}^{-1} −754 kJmol−1\boxed{-754 \text{ kJmol}^{-1}}

    (d) (i)

    • A strong acid completely dissociates in water to produce hydrogen ions.
    • A weak acid only partially dissociates in water, establishing an equilibrium between the undissociated acid and its ions.

    (d) (ii)

  4. Write the dissociation equation for sulphuric acid.

    Sulphuric acid (H2SO4\text{H}_2\text{SO}_4) is a strong acid and is assumed to fully dissociate both protons in dilute solutions for pH calculations.

    H2SO4(aq)→2H+(aq)+SO42−(aq)\text{H}_2\text{SO}_4 \text{(aq)} \to 2\text{H}^+\text{(aq)} + \text{SO}_4^{2-}\text{(aq)}
  5. Determine the concentration of hydrogen ions.

    Since 1 mole of H2SO4\text{H}_2\text{SO}_4 produces 2 moles of H+\text{H}^+ ions:

    [H+]=2×[H2SO4][\text{H}^+] = 2 \times [\text{H}_2\text{SO}_4] [H+]=2×0.1 M[\text{H}^+] = 2 \times 0.1 \text{ M} [H+]=0.2 M[\text{H}^+] = 0.2 \text{ M}
  6. Calculate the pH.

    pH=−log⁡10[H+]\text{pH} = -\log_{10}[\text{H}^+] pH=−log⁡10(0.2)\text{pH} = -\log_{10}(0.2) pH≈0.69897\text{pH} \approx 0.69897 0.70\boxed{0.70}

    (d) (iii)

    • Maintaining a stable pH in biological systems, such as blood.
    • Controlling the pH of solutions in chemical reactions or industrial processes.

    (e) (i)

  7. Write the equilibrium constant expression (Kc\text{Kc}) for the given reaction.

    The reaction is: 2NO(g)+O2(g)⇌2NO2(g)2\text{NO(g)} + \text{O}_2\text{(g)} \rightleftharpoons 2\text{NO}_2\text{(g)}

    Kc=[NO2]2[NO]2[O2]\text{Kc} = \frac{[\text{NO}_2]^2}{[\text{NO}]^2[\text{O}_2]}
  8. Substitute the given equilibrium concentrations.

    [NO]=0.05 moldm−3[\text{NO}] = 0.05 \text{ moldm}^{-3}
    [O2]=0.13 moldm−3[\text{O}_2] = 0.13 \text{ moldm}^{-3}
    [NO2]=15.50 moldm−3[\text{NO}_2] = 15.50 \text{ moldm}^{-3}

    Kc=(15.50)2(0.05)2(0.13)\text{Kc} = \frac{(15.50)^2}{(0.05)^2(0.13)}
  9. Calculate the value of Kc\text{Kc}.

    Kc=240.25(0.0025)(0.13)\text{Kc} = \frac{240.25}{(0.0025)(0.13)} Kc=240.250.000325\text{Kc} = \frac{240.25}{0.000325} Kc=739230.769\text{Kc} = 739230.769 7.39×105 dm3mol−1\boxed{7.39 \times 10^5 \text{ dm}^3\text{mol}^{-1}}

    (e) (ii)

  10. Determine the number of moles of gaseous reactants and products.

    Reactants: 2NO(g)+O2(g)  ⟹  2+1=32\text{NO(g)} + \text{O}_2\text{(g)} \implies 2 + 1 = 3 moles of gas.
    Products: 2NO2(g)  ⟹  22\text{NO}_2\text{(g)} \implies 2 moles of gas.

  11. Apply Le Chatelier's principle.

    A decrease in pressure will shift the equilibrium to the side with a greater number of moles of gas to counteract the change. Since the reactant side has 3 moles of gas and the product side has 2 moles of gas, the equilibrium will shift towards the reactants.
    The equilibrium position will shift to the left, favoring the formation of reactants (NO\text{NO} and O2\text{O}_2).

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