Chemistry
Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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**Combustion Reaction of \( \text{C}_6\text{H}_{12}\text{O}_6 (\text{s})\):**

The reaction is as follows:
\[ \text{C}_6\text{H}_{12}\text{O}_6(\text{s}) + 6 \text{O}_2(\text{g}) \rightarrow 6 \text{CO}_2(\text{g}) + 6 \text{H}_2\text{O}(\text{l}) + 2800 \text{ kJ} \]

**Understanding Heat Formation and Combustion:**

Occasionally, not all values are found in the table of thermodynamic data. For most substances, it is impossible to go into a lab and directly synthesize a compound from its free elements. The heat of formation for the substance must be calculated by working backwards from its heat of combustion.

**Problem:**

Calculate the \( \Delta H_f \) of \( \text{C}_6\text{H}_{12}\text{O}_6(\text{s}) \) given the combustion reaction above along with the following information.

**Data Table:**

| Substance | \( \Delta H_f^\circ \) (kJ/mol) |
|-----------|--------------------|
| \( \text{CO}_2(\text{g}) \) | \(-393.5\) |
| \( \text{H}_2\text{O}(\text{l}) \) | \(-285.8\) |
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Transcribed Image Text:**Combustion Reaction of \( \text{C}_6\text{H}_{12}\text{O}_6 (\text{s})\):** The reaction is as follows: \[ \text{C}_6\text{H}_{12}\text{O}_6(\text{s}) + 6 \text{O}_2(\text{g}) \rightarrow 6 \text{CO}_2(\text{g}) + 6 \text{H}_2\text{O}(\text{l}) + 2800 \text{ kJ} \] **Understanding Heat Formation and Combustion:** Occasionally, not all values are found in the table of thermodynamic data. For most substances, it is impossible to go into a lab and directly synthesize a compound from its free elements. The heat of formation for the substance must be calculated by working backwards from its heat of combustion. **Problem:** Calculate the \( \Delta H_f \) of \( \text{C}_6\text{H}_{12}\text{O}_6(\text{s}) \) given the combustion reaction above along with the following information. **Data Table:** | Substance | \( \Delta H_f^\circ \) (kJ/mol) | |-----------|--------------------| | \( \text{CO}_2(\text{g}) \) | \(-393.5\) | | \( \text{H}_2\text{O}(\text{l}) \) | \(-285.8\) |
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