Questions: A compound contains 62.1% C, 10.4% H and 27.5% O. What is the empirical formula of the compound?
CH2O
C2H4O
C3H4O
C3H6O
Transcript text: A compound contains $62.1 \% \mathrm{C}, 10.4 \% \mathrm{H}$ and $27.5 \% \mathrm{O}$. What is the empirical formula of the compound?
$\mathrm{CH}_{2} \mathrm{O}$
$\mathrm{C}_{2} \mathrm{H}_{4} \mathrm{O}$
$\mathrm{C}_{3} \mathrm{H}_{4} \mathrm{O}$
$\mathrm{C}_{3} \mathrm{H}_{6} \mathrm{O}$
Solution
Solution Steps
Step 1: Convert Percentages to Grams
Assume we have 100 grams of the compound. This means we have:
62.1 grams of carbon (C)
10.4 grams of hydrogen (H)
27.5 grams of oxygen (O)
Step 2: Convert Grams to Moles
Use the molar mass of each element to convert grams to moles:
Molar mass of C = 12.01 g/mol
Molar mass of H = 1.008 g/mol
Molar mass of O = 16.00 g/mol
Calculate moles for each element:
\[
\text{Moles of C} = \frac{62.1 \, \text{g}}{12.01 \, \text{g/mol}} = 5.1715 \, \text{mol}
\]
\[
\text{Moles of H} = \frac{10.4 \, \text{g}}{1.008 \, \text{g/mol}} = 10.3175 \, \text{mol}
\]
\[
\text{Moles of O} = \frac{27.5 \, \text{g}}{16.00 \, \text{g/mol}} = 1.7188 \, \text{mol}
\]
Step 3: Determine the Simplest Whole Number Ratio
Divide each mole value by the smallest number of moles calculated:
\[
\text{Ratio for C} = \frac{5.1715}{1.7188} = 3.008
\]
\[
\text{Ratio for H} = \frac{10.3175}{1.7188} = 6.005
\]
\[
\text{Ratio for O} = \frac{1.7188}{1.7188} = 1
\]
Step 4: Round to Nearest Whole Number
The ratios are approximately whole numbers:
C: 3
H: 6
O: 1
Final Answer
The empirical formula of the compound is \(\boxed{\mathrm{C}_{3} \mathrm{H}_{6} \mathrm{O}}\).