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This question is about citric acid, a hydrated tricarboxylic acid - AQA - A-Level Chemistry - Question 8 - 2020 - Paper 2

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This question is about citric acid, a hydrated tricarboxylic acid. Its formula can be represented as HₓY·zH₂O A 1.50 g sample of HₓY·zH₂O contains 0.913 g of oxygen... show full transcript

Worked Solution & Example Answer:This question is about citric acid, a hydrated tricarboxylic acid - AQA - A-Level Chemistry - Question 8 - 2020 - Paper 2

Step 1

A 1.50 g sample of HₓY·zH₂O contains 0.913 g of oxygen by mass.

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Answer

To find the empirical formula, we first need to determine the moles of carbon (C), hydrogen (H), and oxygen (O) in the citric acid.

  1. Calculate moles of CO₂ and H₂O:

    • Moles of CO₂: nCO2=1.89 g44.01 g/mol=0.043 moln_{CO_2} = \frac{1.89 \text{ g}}{44.01 \text{ g/mol}} = 0.043 \text{ mol}
    • Moles of H₂O: nH2O=0.643 g18.02 g/mol=0.036 moln_{H_2O} = \frac{0.643 \text{ g}}{18.02 \text{ g/mol}} = 0.036 \text{ mol}
  2. Calculate moles of O from products: For CO₂, each mole contains 2 moles of O:

    • Moles of O from CO₂: 0.043 mol CO2×2=0.086 mol O0.043 \text{ mol CO}_2 \times 2 = 0.086 \text{ mol O} For H₂O, each mole contains 1 mole of O:
    • Moles of O from H₂O: 0.036 mol H2O×1=0.036 mol O0.036 \text{ mol H}_2O \times 1 = 0.036 \text{ mol O}
  3. Total moles of O: nO=0.086+0.036=0.122 mol On_{O} = 0.086 + 0.036 = 0.122 \text{ mol O}

  4. Total mass of O based on calculated moles:

    • Mass of O: nO×16=0.122 mol×16 g/mol=1.952 gn_{O} \times 16 = 0.122 \text{ mol} \times 16 \text{ g/mol} = 1.952 \text{ g}
  5. Finding mass of C and H:

    • Mass of H from H₂O: 0.036 mol H2O×2 g/mol=0.072 g H0.036 \text{ mol H}_2O \times 2 \text{ g/mol} = 0.072 \text{ g H}
    • Total mass (1.50 g) = mass of C + mass of H + mass of O: 1.50=mC+(0.072+(0.913))1.50 = m_C + (0.072 + (0.913))
    • Therefore, mass of C: mC=1.50(0.913+0.072)=0.515extgCm_C = 1.50 - (0.913 + 0.072) = 0.515 ext{ g C}
  6. Calculate moles of C: nC=0.51512.01=0.043 mol Cn_C = \frac{0.515}{12.01} = 0.043 \text{ mol C}

  7. Determine the molar ratios: Convert to simplest ratio:

    • C: 0.043
    • H: 0.072 / 2 = 0.036
    • O: 0.122
    • Empirical ratio C:H:O = 1:2:4 thus empirical formula is C₆H₈O₇.

Step 2

A 3.00 g sample of HₓY·zH₂O (M = 210.0) is heated to constant mass.

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Answer

  1. Calculate moles of HₓY·zH₂O: nHxYzH2O=3.00extg210.0extg/mol=0.01429extmoln_{HₓY·zH₂O} = \frac{3.00 ext{ g}}{210.0 ext{ g/mol}} = 0.01429 ext{ mol}

  2. Mass remaining: 2.74 g of anhydrous HₓY

    • Moles of HₓY: nHxY=2.74extgM=2.74Mn_{HₓY} = \frac{2.74 ext{ g}}{M} = \frac{2.74}{M} Note: M = 210.0 g/mol calculated previously for a molar mass, therefore.
    • Thus, when x = 1, you can verify the mass and ratio, concluding x = 1.

Step 3

Complete this IUPAC name for HₓY

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Answer

1, 2, 3-tricarboxylic acid

Step 4

State the number of peaks you would expect in the ¹³C NMR spectrum for HₓY

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Answer

The number of peaks expected in the ¹³C NMR spectrum for HₓY is 4.

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