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An organic compound is known to contain only carbon, hydrogen and oxygen - VCE - SSCE Chemistry - Question 11 - 2005 - Paper 1

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An organic compound is known to contain only carbon, hydrogen and oxygen. The compound contains, by mass, 39.1% of carbon and 8.7% of hydrogen. The number of carbon ... show full transcript

Worked Solution & Example Answer:An organic compound is known to contain only carbon, hydrogen and oxygen - VCE - SSCE Chemistry - Question 11 - 2005 - Paper 1

Step 1

Determine the Mass Percentage of Oxygen

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Answer

To find the mass percentage of oxygen in the compound, we can use the fact that the total mass must equal 100%. Therefore, we first add the mass percentages of carbon and hydrogen:

39.139.1\\% + 8.7\\% = 47.8\\%

Next, we subtract this sum from 100% to find the percentage of oxygen:

100100\\% - 47.8\\% = 52.2\\%

Hence, the percentage of oxygen in the compound is 52.2%.

Step 2

Convert Mass Percentages to Moles

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Answer

Next, we need to convert each of the mass percentages into moles. We divide by the molar mass of each element:

  • Molar mass of Carbon (C) = 12.01 g/mol
  • Molar mass of Hydrogen (H) = 1.008 g/mol
  • Molar mass of Oxygen (O) = 16.00 g/mol

Calculating the moles:

  • Moles of Carbon: 39.1g12.01g/mol3.26mol\frac{39.1 \, g}{12.01 \, g/mol} \approx 3.26 \, mol
  • Moles of Hydrogen: 8.7g1.008g/mol8.63mol\frac{8.7 \, g}{1.008 \, g/mol} \approx 8.63 \, mol
  • Moles of Oxygen: 52.2g16.00g/mol3.26mol\frac{52.2 \, g}{16.00 \, g/mol} \approx 3.26 \, mol

Step 3

Determine the Empirical Formula Ratio

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Now, we find the simplest mole ratio by dividing each number of moles by the smallest number of moles calculated:

  • For Carbon: 3.263.26=1\frac{3.26}{3.26} = 1
  • For Hydrogen: 8.633.262.64\frac{8.63}{3.26} \approx 2.64
  • For Oxygen: 3.263.26=1\frac{3.26}{3.26} = 1

The ratio of C:H:O is approximately 1:2.64:1. We can round 2.64 to 3 for simplicity. Hence, the approximate ratio is 1:3:1.

Step 4

Conclude the Number of Carbon Atoms

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Answer

From the empirical formula ratio C:H:O = 1:3:1, we can see that the number of carbon atoms in the empirical formula is 1.

However, upon reviewing the values of moles, we can also calculate the total ratio based on C and H which dictates that the empirical formula must depict the simplest regular integer ratio. Thus, the final conclusion is that the number of carbon atoms in the empirical formula is 3.

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