Given the following information at 25°C, calculate AH° for the combustion of one mole of propane, C3H8, according to the equation C3Hg(g) + 5 O₂(g) → 3 CO₂(g) + 4H₂O(1) Species C3Hg(g) CO₂(g) H₂O(1) 0₂(8) a) 575.5 04.700.0 AH FE (kJ/mol) -103.8 -393.5 -285.8 0

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**Determination of Enthalpy Change for the Combustion of Propane**

**Objective:**  
To calculate the standard enthalpy change (\(\Delta H^\circ\)) for the combustion of one mole of propane (\(C_3H_8\)) at 25°C, using the following chemical equation:

\[ C_3H_8(g) + 5 \, O_2(g) \rightarrow 3 \, CO_2(g) + 4 \, H_2O(l) \]

**Given Data:**

A table of standard enthalpies of formation (\(\Delta H_f^\circ\)) in kilojoules per mole is provided for each species involved in the reaction.

| Species | \(\Delta H_f^\circ\) (kJ/mol) |
|---------|---------------------|
| \(C_3H_8(g)\) | -103.8         |
| \(CO_2(g)\)   | -393.5         |
| \(H_2O(l)\)   | -285.8         |
| \(O_2(g)\)    | 0              |

**Calculation:**

To find the enthalpy change for the reaction, use the formula:

\[
\Delta H^\circ = \sum (\Delta H_f^\circ \, \text{of products}) - \sum (\Delta H_f^\circ \, \text{of reactants})
\]

**Choices for \(\Delta H^\circ\):**

- a) 575.5 kJ/mol
- b) [Option not visible]
- c) [Option not visible]

**Method:**

1. Multiply the \(\Delta H_f^\circ\) for each product by its coefficient in the balanced equation and sum them.
2. Repeat for the reactants.
3. Subtract the sum of the reactants from the sum of the products to find \(\Delta H^\circ\).

This approach provides a systematic method for calculating the enthalpy change for chemical reactions, which is fundamental in thermochemistry studies.
Transcribed Image Text:**Determination of Enthalpy Change for the Combustion of Propane** **Objective:** To calculate the standard enthalpy change (\(\Delta H^\circ\)) for the combustion of one mole of propane (\(C_3H_8\)) at 25°C, using the following chemical equation: \[ C_3H_8(g) + 5 \, O_2(g) \rightarrow 3 \, CO_2(g) + 4 \, H_2O(l) \] **Given Data:** A table of standard enthalpies of formation (\(\Delta H_f^\circ\)) in kilojoules per mole is provided for each species involved in the reaction. | Species | \(\Delta H_f^\circ\) (kJ/mol) | |---------|---------------------| | \(C_3H_8(g)\) | -103.8 | | \(CO_2(g)\) | -393.5 | | \(H_2O(l)\) | -285.8 | | \(O_2(g)\) | 0 | **Calculation:** To find the enthalpy change for the reaction, use the formula: \[ \Delta H^\circ = \sum (\Delta H_f^\circ \, \text{of products}) - \sum (\Delta H_f^\circ \, \text{of reactants}) \] **Choices for \(\Delta H^\circ\):** - a) 575.5 kJ/mol - b) [Option not visible] - c) [Option not visible] **Method:** 1. Multiply the \(\Delta H_f^\circ\) for each product by its coefficient in the balanced equation and sum them. 2. Repeat for the reactants. 3. Subtract the sum of the reactants from the sum of the products to find \(\Delta H^\circ\). This approach provides a systematic method for calculating the enthalpy change for chemical reactions, which is fundamental in thermochemistry studies.
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