Complete combustion of 4.70 g of a hydrocarbon produced 15.0 g of CO₂ and 5.38 g of H₂O. What is the empirical formula for the hydrocarbon? Insert subscripts as necessary. 5 empirical formula: CH

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How can we find the formula?
**Determining Empirical Formula from Combustion Data**

**Problem:**

A complete combustion of 4.70 g of a hydrocarbon produced 15.0 g of CO₂ and 5.38 g of H₂O. What is the empirical formula for the hydrocarbon? Insert subscripts as necessary.

**Solution:**

Given data:

- Mass of CO₂ produced = 15.0 g
- Mass of H₂O produced = 5.38 g

To find the empirical formula of the hydrocarbon, follow these steps:

1. **Calculate Moles of Carbon:**
   - Molecular weight of CO₂ = 44.01 g/mol
   - Moles of CO₂ = \( \frac{15.0 \text{ g}}{44.01 \text{ g/mol}} \)
   - Each mole of CO₂ contains 1 mole of carbon.
   - Moles of carbon = Moles of CO₂

2. **Calculate Moles of Hydrogen:**
   - Molecular weight of H₂O = 18.02 g/mol
   - Moles of H₂O = \( \frac{5.38 \text{ g}}{18.02 \text{ g/mol}} \)
   - Each mole of H₂O contains 2 moles of hydrogen.
   - Moles of hydrogen = 2 × Moles of H₂O

3. **Determine Empirical Formula:**
   - Divide the moles of each element by the smallest number of moles calculated.
   - Use the resulting ratio to determine the empirical formula.

**Empirical Formula:**

CH (To be determined based on calculations).

**Note:** Ensure that calculations are carried out to determine the correct subscripts for the empirical formula.
Transcribed Image Text:**Determining Empirical Formula from Combustion Data** **Problem:** A complete combustion of 4.70 g of a hydrocarbon produced 15.0 g of CO₂ and 5.38 g of H₂O. What is the empirical formula for the hydrocarbon? Insert subscripts as necessary. **Solution:** Given data: - Mass of CO₂ produced = 15.0 g - Mass of H₂O produced = 5.38 g To find the empirical formula of the hydrocarbon, follow these steps: 1. **Calculate Moles of Carbon:** - Molecular weight of CO₂ = 44.01 g/mol - Moles of CO₂ = \( \frac{15.0 \text{ g}}{44.01 \text{ g/mol}} \) - Each mole of CO₂ contains 1 mole of carbon. - Moles of carbon = Moles of CO₂ 2. **Calculate Moles of Hydrogen:** - Molecular weight of H₂O = 18.02 g/mol - Moles of H₂O = \( \frac{5.38 \text{ g}}{18.02 \text{ g/mol}} \) - Each mole of H₂O contains 2 moles of hydrogen. - Moles of hydrogen = 2 × Moles of H₂O 3. **Determine Empirical Formula:** - Divide the moles of each element by the smallest number of moles calculated. - Use the resulting ratio to determine the empirical formula. **Empirical Formula:** CH (To be determined based on calculations). **Note:** Ensure that calculations are carried out to determine the correct subscripts for the empirical formula.
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