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A sample of hydrocarbon contains 81.8% carbon by mass - VCE - SSCE Chemistry - Question 19 - 2003 - Paper 1

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A sample of hydrocarbon contains 81.8% carbon by mass. The empirical formula of the compound would be A. CH₂ B. CH₃ C. C₂H₅ D. C₃H₈

Worked Solution & Example Answer:A sample of hydrocarbon contains 81.8% carbon by mass - VCE - SSCE Chemistry - Question 19 - 2003 - Paper 1

Step 1

Determine Mass of Carbon and Hydrogen

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Answer

Since the hydrocarbon contains 81.8% carbon by mass, we can deduce that the remaining mass must be hydrogen. Therefore, the sample contains:

  • Mass of carbon: 81.8 g (assuming a 100 g sample)
  • Mass of hydrogen: 100 g - 81.8 g = 18.2 g

Step 2

Convert to Moles

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To find the number of moles of each element, we use the molar masses:

  • Molar mass of carbon (C): 12.01 g/mol
  • Molar mass of hydrogen (H): 1.008 g/mol

Calculating the moles:

  • Moles of carbon = ( \frac{81.8 \text{ g}}{12.01 \text{ g/mol}} \approx 6.81 \text{ moles} )
  • Moles of hydrogen = ( \frac{18.2 \text{ g}}{1.008 \text{ g/mol}} \approx 18.06 \text{ moles} )

Step 3

Find the Simplest Ratio

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Next, we divide the number of moles of each by the smallest number of moles:

  • Ratio of carbon: ( \frac{6.81}{6.81} = 1 )
  • Ratio of hydrogen: ( \frac{18.06}{6.81} \approx 2.65 )

To simplify, we can round 2.65 to the nearest whole number (3), giving us a ratio of approximately:

  • C: 1, H: 3

Step 4

Empirical Formula

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Answer

From the simplest ratio of 1:3, the empirical formula of the compound is therefore: C₃H₈, which corresponds to option D.

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