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A student does an experiment to determine the percentage by mass of sodium chlorate(I), NaClO, in a sample of bleach solution - AQA - A-Level Chemistry - Question 8 - 2020 - Paper 1

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A student does an experiment to determine the percentage by mass of sodium chlorate(I), NaClO, in a sample of bleach solution. Method: - Dilute a 10.0 cm³ sample o... show full transcript

Worked Solution & Example Answer:A student does an experiment to determine the percentage by mass of sodium chlorate(I), NaClO, in a sample of bleach solution - AQA - A-Level Chemistry - Question 8 - 2020 - Paper 1

Step 1

Use all the information given to calculate the percentage by mass of NaClO in the original bleach solution.

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Answer

To calculate the mass of NaClO in the original bleach solution, we first determine the moles of sodium thiosulfate used.

  1. Calculate moles of Na₂S₂O₃:

    Moles of Na₂S₂O₃ =
    \frac{33.50 , cm³}{1000} \times 0.00333 , mol , dm^{-3} = 0.000112 , mol

  2. Use the stoichiometry from the equations:

    From the equations, we know that 2 moles of Na₂S₂O₃ react with 1 mole of I₃⁻. Thus: (0.000112 , mol , Na₂S₂O₃ \times \frac{1 , mol , I_3^-}{2 , mol , Na_2S_2O_3} = 0.000056 , mol , I_3^- )

  3. Now, we find moles of NaClO:

    I₃⁻ is formed from ClO⁻ according to the reactions provided. Therefore, the moles of NaClO in the original solution: ( 0.000056 , mol , ClO^- \text{ from I3^-} )

  4. Convert moles of NaClO to grams:

    The molar mass of NaClO is approximately 74.44 g/mol. Thus: (0.000056 , mol imes 74.44 , g/mol = 0.00417 , g)

  5. Calculate the mass of bleach:

    Volume of original bleach = 10.0 cm³, density = 1.20 g/cm³: ( ext{Mass of bleach} = 10.0 , cm³ \times 1.20 \frac{g}{cm³} = 12.0 , g)

  6. Calculate percentage by mass of NaClO in bleach:

    ( \text{Percentage by mass} = \frac{0.00417 , g}{12.0 , g} \times 100 = 0.0346 , % )

    Therefore, the percentage by mass of NaClO is approximately 0.035 % expressed to 3 significant figures = 0.0350%.

Step 2

What is the total percentage uncertainty in using the burette in this experiment?

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Answer

The total uncertainty from the two readings and the end-point error in using the burette is ±0.15 cm³.

  1. Calculate the percentage uncertainty for one reading:

    • If we use a burette that measures to a total of 50 cm³, the percentage uncertainty for one reading is:

    ( \text{Percentage uncertainty} = \frac{0.15 , cm³}{50 , cm³} \times 100 = 0.30% )

  2. Total uncertainty:

    Since there are two readings, the total uncertainty is simply doubling the single reading uncertainty:

    (\text{Total uncertainty} = 0.30% + 0.30% = 0.60% )

    The total percentage uncertainty in using the burette is therefore 0.45%.

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