Questions: A compound contains 76.6% C, 6.38% H and 17.0% O. Which of the following is the correct empirical formula for the compound?
a C6H6O
b CH2O
c C2H2O
d C4H4O
e CHO
Transcript text: A compound contains $76.6 \% \mathrm{C}, 6.38 \% \mathrm{H}$ and $17.0 \% \mathrm{O}$. Which of the following is the correct empirical formula for the compound?
a $\mathrm{C}_{6} \mathrm{H}_{6} \mathrm{O}$
b $\mathrm{CH}_{2} \mathrm{O}$
c $\mathrm{C}_{2} \mathrm{H}_{2} \mathrm{O}$
d $\mathrm{C}_{4} \mathrm{H}_{4} \mathrm{O}$
e CHO
Solution
Solution Steps
Step 1: Convert Percentages to Grams
Assume we have 100 grams of the compound. This means we have:
76.6 grams of carbon (C)
6.38 grams of hydrogen (H)
17.0 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:
\[
\text{Moles of C} = \frac{76.6 \, \text{g}}{12.01 \, \text{g/mol}} = 6.3797 \, \text{mol}
\]
\[
\text{Moles of H} = \frac{6.38 \, \text{g}}{1.008 \, \text{g/mol}} = 6.3254 \, \text{mol}
\]
\[
\text{Moles of O} = \frac{17.0 \, \text{g}}{16.00 \, \text{g/mol}} = 1.0625 \, \text{mol}
\]
Step 3: Determine the Simplest Whole Number Ratio
Divide each mole value by the smallest number of moles calculated:
\[
\text{Ratio for C} = \frac{6.3797}{1.0625} = 6.004
\]
\[
\text{Ratio for H} = \frac{6.3254}{1.0625} = 5.953
\]
\[
\text{Ratio for O} = \frac{1.0625}{1.0625} = 1.000
\]
Step 4: Round to Nearest Whole Number
The ratios are approximately:
C: 6
H: 6
O: 1
Final Answer
The empirical formula of the compound is \(\boxed{\mathrm{C}_6\mathrm{H}_6\mathrm{O}}\).