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

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
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Solution

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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 \(\boxed{\mathrm{C}_6\mathrm{H}_6\mathrm{O}}\).

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