An unknown compound has the formula C HyO₂. You burn 0.2072 g of the compound and isolate 0.5059 g of CO2 and 0.2071 g of H₂O. What is the empirical formula of the compound? If the molar mass is 72.1 g/mol, what is the molecular formula? (Enter the elements in the order: C, H, O.) Empirical formula: Molecular formula:

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### Determining Empirical and Molecular Formulas of a Compound

An unknown compound has the formula \( C_xH_yO_z \). You burn 0.2072 g of the compound and isolate 0.5059 g of \( CO_2 \) and 0.2071 g of \( H_2O \). What is the empirical formula of the compound? If the molar mass is 72.1 g/mol, what is the molecular formula?

**Problem:**  
(Enter the elements in the order: C, H, O.)

| Empirical formula:  |  [---Text Box for Answer---]  |
| Molecular formula:  |  [---Text Box for Answer---]  |

In this problem, the goal is to find both the empirical and molecular formulas of the unknown compound. Let's break down the steps necessary to solve this problem.

#### Step-by-Step Method:

1. **Determine the amount of carbon, hydrogen, and oxygen in the compound:**

   - **Carbon Analysis:**
     - Mass of \( CO_2 \) produced: 0.5059 g
     - Since each mole of \( CO_2 \) contains one mole of carbon, find the moles of carbon:
       \[
       \text{Moles of C} = \frac{\text{Mass of } CO_2}{\text{Molar Mass of } CO_2} = \frac{0.5059 \, \text{g}}{44.01 \, \text{g/mol}} = 0.011497 \, \text{mol}
       \]

   - **Hydrogen Analysis:**
     - Mass of \( H_2O \) produced: 0.2071 g
     - Since each mole of \( H_2O \) contains two moles of hydrogen, find the moles of hydrogen:
       \[
       \text{Moles of H} = 2 \times \frac{\text{Mass of } H_2O}{\text{Molar Mass of } H_2O} = 2 \times \frac{0.2071 \, \text{g}}{18.02 \, \text{g/mol}} = 0.023003 \, \text{mol}
       \]

   - **Oxygen Analysis:**
     - Use the mass of the compound burned and the
Transcribed Image Text:### Determining Empirical and Molecular Formulas of a Compound An unknown compound has the formula \( C_xH_yO_z \). You burn 0.2072 g of the compound and isolate 0.5059 g of \( CO_2 \) and 0.2071 g of \( H_2O \). What is the empirical formula of the compound? If the molar mass is 72.1 g/mol, what is the molecular formula? **Problem:** (Enter the elements in the order: C, H, O.) | Empirical formula: | [---Text Box for Answer---] | | Molecular formula: | [---Text Box for Answer---] | In this problem, the goal is to find both the empirical and molecular formulas of the unknown compound. Let's break down the steps necessary to solve this problem. #### Step-by-Step Method: 1. **Determine the amount of carbon, hydrogen, and oxygen in the compound:** - **Carbon Analysis:** - Mass of \( CO_2 \) produced: 0.5059 g - Since each mole of \( CO_2 \) contains one mole of carbon, find the moles of carbon: \[ \text{Moles of C} = \frac{\text{Mass of } CO_2}{\text{Molar Mass of } CO_2} = \frac{0.5059 \, \text{g}}{44.01 \, \text{g/mol}} = 0.011497 \, \text{mol} \] - **Hydrogen Analysis:** - Mass of \( H_2O \) produced: 0.2071 g - Since each mole of \( H_2O \) contains two moles of hydrogen, find the moles of hydrogen: \[ \text{Moles of H} = 2 \times \frac{\text{Mass of } H_2O}{\text{Molar Mass of } H_2O} = 2 \times \frac{0.2071 \, \text{g}}{18.02 \, \text{g/mol}} = 0.023003 \, \text{mol} \] - **Oxygen Analysis:** - Use the mass of the compound burned and the
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