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Esters are common components of artificial flavours - VCE - SSCE Chemistry - Question 5 - 2002 - Paper 1

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Esters are common components of artificial flavours. An ester, known to contain only the elements carbon, hydrogen and oxygen, was isolated and its composition analy... show full transcript

Worked Solution & Example Answer:Esters are common components of artificial flavours - VCE - SSCE Chemistry - Question 5 - 2002 - Paper 1

Step 1

mass of carbon in 1.02 g of the compound

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Answer

To find the mass of carbon, we first calculate the amount of carbon produced from the carbon dioxide formed:

  1. Molar mass of CO₂ = 12 (for C) + 16×2 (for O) = 44 g/mol.
  2. Moles of CO₂ produced = ( \frac{2.20 \text{ g}}{44 \text{ g/mol}} = 0.050 \text{ mol} ).
  3. Since each mole of CO₂ contains one mole of C, moles of C = 0.050 mol.
  4. Mass of C = moles × molar mass = ( 0.050 \text{ mol} \times 12 ext{ g/mol} = 0.60 ext{ g} ).

Step 2

mass of hydrogen in 1.02 g of the compound

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Answer

To find the mass of hydrogen, we first calculate the amount of water produced:

  1. Molar mass of H₂O = 2 (for H) + 16 (for O) = 18 g/mol.
  2. Moles of H₂O produced = ( \frac{0.90 ext{ g}}{18 ext{ g/mol}} = 0.050 \text{ mol} ).
  3. Each mole of H₂O contains 2 moles of H, hence moles of H = 2 × 0.050 mol = 0.10 mol.
  4. Mass of H = moles × molar mass = ( 0.10 ext{ mol} \times 1 ext{ g/mol} = 0.10 ext{ g} ).

Step 3

mass of oxygen in 1.02 g of the compound

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Answer

The mass of oxygen can be determined by difference:

  1. Total mass of the compound = 1.02 g.
  2. Mass of O = Total mass - (mass of C + mass of H).
  3. Mass of O = 1.02 g - (0.60 g + 0.10 g) = 1.02 g - 0.70 g = 0.32 g.

Step 4

empirical formula of the compound

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Answer

To find the empirical formula, we need to determine the mole ratio of C, H, and O:

  1. Moles of C = ( \frac{0.60 ext{ g}}{12 ext{ g/mol}} = 0.050 ext{ mol} ).
  2. Moles of H = ( \frac{0.10 ext{ g}}{1 ext{ g/mol}} = 0.10 ext{ mol} ).
  3. Moles of O = ( \frac{0.32 ext{ g}}{16 ext{ g/mol}} = 0.020 ext{ mol} ).

Next, to find the simplest ratio:

  • C: 0.050 / 0.020 = 2.5
  • H: 0.10 / 0.020 = 5
  • O: 0.020 / 0.020 = 1

To convert to whole numbers, multiply each by 2:

  • C: 2 × 2.5 = 5
  • H: 5 × 2 = 10
  • O: 1 × 2 = 2

Thus, the empirical formula is ( C_5H_{10}O_2 ).

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