For the following combustion reaction CH3CH₂CH₂COOH(1) +502(g) → 4CO₂(g) + 4H₂O(g) AH = -2.18 × 10³ kJ When a 7.52-g sample of butyric acid (molar mass = 88.10 g/mol) is burned, how much energy (in kJ) is released as heat?

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**Combustion Reaction Analysis**

For the following combustion reaction:

\[ \text{CH}_3\text{CH}_2\text{CH}_2\text{COOH}(l) + 5\text{O}_2(g) \rightarrow 4\text{CO}_2(g) + 4\text{H}_2\text{O}(g) \quad \Delta H = -2.18 \times 10^3 \, \text{kJ} \]

**Problem Statement:**

When a 7.52-g sample of butyric acid (molar mass = 88.10 g/mol) is burned, how much energy (in kJ) is released as heat?

**Analysis:**

- The chemical equation represents the combustion of butyric acid, releasing carbon dioxide and water.
- The enthalpy change (\( \Delta H \)) is negative, indicating an exothermic reaction where 2180 kJ of energy is released per mole of butyric acid burned.
- To calculate the energy released from burning 7.52 g of butyric acid, use the formula:

  1. **Calculate Moles of Butyric Acid:**
     \[
     \text{moles} = \frac{\text{mass}}{\text{molar mass}} = \frac{7.52 \, \text{g}}{88.10 \, \text{g/mol}}
     \]

  2. **Calculate Energy Released:**
     \[
     \text{Energy (kJ)} = \text{moles} \times \Delta H
     \]

This calculation will determine the amount of energy released when 7.52 g of butyric acid is combusted.
Transcribed Image Text:**Combustion Reaction Analysis** For the following combustion reaction: \[ \text{CH}_3\text{CH}_2\text{CH}_2\text{COOH}(l) + 5\text{O}_2(g) \rightarrow 4\text{CO}_2(g) + 4\text{H}_2\text{O}(g) \quad \Delta H = -2.18 \times 10^3 \, \text{kJ} \] **Problem Statement:** When a 7.52-g sample of butyric acid (molar mass = 88.10 g/mol) is burned, how much energy (in kJ) is released as heat? **Analysis:** - The chemical equation represents the combustion of butyric acid, releasing carbon dioxide and water. - The enthalpy change (\( \Delta H \)) is negative, indicating an exothermic reaction where 2180 kJ of energy is released per mole of butyric acid burned. - To calculate the energy released from burning 7.52 g of butyric acid, use the formula: 1. **Calculate Moles of Butyric Acid:** \[ \text{moles} = \frac{\text{mass}}{\text{molar mass}} = \frac{7.52 \, \text{g}}{88.10 \, \text{g/mol}} \] 2. **Calculate Energy Released:** \[ \text{Energy (kJ)} = \text{moles} \times \Delta H \] This calculation will determine the amount of energy released when 7.52 g of butyric acid is combusted.
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