An organic compound is known to contain only carbon, hydrogen and oxygen - VCE - SSCE Chemistry - Question 11 - 2005 - Paper 1
Question 11
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
Calculate Moles of Carbon
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Answer
To find the moles of carbon, we use the formula:
ext{Moles of Carbon} = rac{ ext{mass percentage of Carbon}}{ ext{molar mass of Carbon}}
Given:
Mass percentage of Carbon = 39.1%
Molar mass of Carbon = 12.01 g/mol
Calculating the moles:
ext{Moles of Carbon} = rac{39.1}{12.01} \approx 3.25 ext{ moles}
Step 2
Calculate Moles of Hydrogen
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Next, we calculate the moles of hydrogen using a similar method:
ext{Moles of Hydrogen} = rac{ ext{mass percentage of Hydrogen}}{ ext{molar mass of Hydrogen}}
Given:
Mass percentage of Hydrogen = 8.7%
Molar mass of Hydrogen = 1.008 g/mol
Calculating the moles:
ext{Moles of Hydrogen} = rac{8.7}{1.008} \approx 8.63 ext{ moles}
Step 3
Calculate Moles of Oxygen
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Now we assume the remaining mass is oxygen:
Mass percentage of Oxygen = 100% - (39.1% + 8.7%) = 52.2%
Calculating moles of oxygen:
ext{Moles of Oxygen} = rac{52.2}{16.00} \approx 3.26 ext{ moles}
Step 4
Determine the Simplest Ratio
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Answer
We now have the moles of each element:
Moles of Carbon = 3.25 moles
Moles of Hydrogen = 8.63 moles
Moles of Oxygen = 3.26 moles
To find the simplest whole number ratio, we divide each by the smallest value (3.25):
ext{Ratio of Carbon} = \frac{3.25}{3.25} = 1\
ext{Ratio of Hydrogen} = \frac{8.63}{3.25} \approx 2.65 \
ext{Ratio of Oxygen} = \frac{3.26}{3.25} \approx 1\
To approximate to whole numbers, we can round Hydrogen to 3.
Thus, the empirical formula is C1H3O1.
Step 5
Empirical Formula Conclusion
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The number of carbon atoms in the empirical formula is therefore:
C1H3O1 implies there is 1 carbon atom per empirical unit.