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This question is about hydrogen peroxide, H₂O₂ - AQA - A-Level Chemistry - Question 3 - 2022 - Paper 1

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This question is about hydrogen peroxide, H₂O₂. The half-equation for the oxidation of hydrogen peroxide is H₂O₂ → O₂ + 2H⁺ + 2e⁻ Hair bleach solution contains hy... show full transcript

Worked Solution & Example Answer:This question is about hydrogen peroxide, H₂O₂ - AQA - A-Level Chemistry - Question 3 - 2022 - Paper 1

Step 1

Give an ionic equation for the reaction between potassium manganate(VII) and acidified hydrogen peroxide.

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Answer

The ionic equation for the reaction can be written as:

extMnO4+8extH++5exteextMn2++4extH2extO ext{MnO}_4^- + 8 ext{H}^+ + 5 ext{e}^- → ext{Mn}^{2+} + 4 ext{H}_2 ext{O}

and for hydrogen peroxide:

extH2extO2extO2+2extH++2exte ext{H}_2 ext{O}_2 → ext{O}_2 + 2 ext{H}^+ + 2 ext{e}^-

The overall balanced equation is:

ext5H2extO2+2extMnO4+6extH+2extMn2++5extO2+6extH2extO ext{5H}_2 ext{O}_2 + 2 ext{MnO}_4^- + 6 ext{H}^+ → 2 ext{Mn}^{2+} + 5 ext{O}_2 + 6 ext{H}_2 ext{O}

Step 2

Calculate the concentration, in mol dm⁻³, of hydrogen peroxide in the original hair bleach solution.

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Answer

To calculate the concentration of hydrogen peroxide in the original solution:

  1. Calculate the moles of potassium manganate(VII) used in the titration:

extMolesofKMnO4=extConcentrationimesextVolume=0.0200imes35.85imes103 ext{Moles of KMnO}_4 = ext{Concentration} imes ext{Volume} = 0.0200 imes 35.85 imes 10^{-3}

  1. Using the molar ratio from the ionic equation: The molar ratio of KMnO₄ to H₂O₂ is 2:5.

  2. Therefore, moles of H₂O₂ is calculated as:

ext{Moles of H}_2 ext{O}_2 = rac{5}{2} imes 0.0200 imes 35.85 imes 10^{-3}

  1. Calculate the concentration of H₂O₂ in the diluted solution, considering volume is 25.0 cm³:

ext{Concentration of H}_2 ext{O}_2 = rac{ ext{Moles of H}_2 ext{O}_2}{ ext{Volume}}

  1. Finally, adjust for the dilution to find the concentration in the original solution, which is:

ext{Concentration in original solution} = rac{0.177}{0.0500} Therefore, the final result is: extConcentration=1.43extmoldm3 ext{Concentration} = 1.43 ext{ mol dm}^{-3}

Step 3

State why an indicator is not added in this titration.

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Answer

An indicator is not added in this titration because potassium manganate(VII) is self-indicating. The solution changes color from purple to colorless as the reaction progresses and reaches the endpoint.

Step 4

Give the oxidation state of oxygen in hydrogen peroxide.

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Answer

In hydrogen peroxide (H₂O₂), the oxidation state of oxygen is -1.

Step 5

Give an equation for the decomposition of hydrogen peroxide into water and oxygen.

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Answer

The equation for the decomposition of hydrogen peroxide is:

ext2H2extO22extH2extO+extO2 ext{2H}_2 ext{O}_2 → 2 ext{H}_2 ext{O} + ext{O}_2

Step 6

Calculate the amount, in moles, of hydrogen peroxide that would be needed to produce 185 cm³ of oxygen gas at 100 kPa and 298 K.

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Answer

Using the ideal gas law, the amount of oxygen can be calculated as follows:

  1. Convert volume from cm³ to m³: V=185imes106extm3V = 185 imes 10^{-6} ext{ m³}

  2. Using R = 8.31 J K⁻¹ mol⁻¹ and solving for moles of gas:

n = rac{PV}{RT} = rac{100 imes 10^3 imes 185 imes 10^{-6}}{8.31 imes 298} This results in: nO2=0.00748n_{O_2} = 0.00748

  1. From the balanced equation for decomposition, 2 moles of H₂O₂ produce 1 mole of O₂: Therefore, the moles of H₂O₂ needed is: nH2O2=2imesnO2=2imes0.00748=0.01496extmoln_{H_2O_2} = 2 imes n_{O_2} = 2 imes 0.00748 = 0.01496 ext{ mol}

Step 7

Define the term mean bond enthalpy.

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Answer

Mean bond enthalpy is defined as the average energy required to break one mole of a specific type of bond in a molecule in the gas phase, averaged over a range of molecules.

Step 8

Use the equation and the data in Table 3 to calculate a value for the O–O bond enthalpy in hydrogen peroxide.

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Answer

To calculate the O–O bond enthalpy in H₂O₂, consider the bonds broken and formed in the reaction:

  1. From the equation, two O–O bonds are broken:

    • Energy required to break 2 O–O bonds can be calculated using mean bond enthalpies from Table 3: ext{Mean bond enthalpy for O-O} = rac{ΔH + 2 imes ext{Mean bond enthalpy of O–H}}{2}
  2. Substituting values from Table 3: = rac{-789 + 2 imes 463}{2}

  3. Finally, this calculation provides the O–O bond enthalpy.

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