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

Question 19

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
Determine Mass of Carbon and Hydrogen

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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
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} )
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:
Empirical Formula

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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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