Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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![**Chemical Reaction and Thermodynamics:**
Given the following equation,
\[ \text{N}_2\text{O}_{(g)} + \text{NO}_2_{(g)} \rightarrow 3\text{NO}_{(g)} \]
\[ \Delta G^\circ_{\text{rxn}} = -23.0 \, \text{kJ} \]
Calculate \( \Delta G^\circ_{\text{rxn}} \) for the following reaction:
\[ 2\text{N}_2\text{O}_{(g)} + 2\text{NO}_2_{(g)} \rightarrow 6\text{NO}_{(g)} \]
**Explanation:**
The given reaction has a Gibbs free energy change (\( \Delta G^\circ_{\text{rxn}} \)) of -23.0 kJ. To find the \( \Delta G^\circ_{\text{rxn}} \) for the second reaction, note that the stoichiometry of the second reaction is exactly double that of the first. Therefore, the \( \Delta G^\circ_{\text{rxn}} \) for the second reaction will be double that of the first equation. Calculate this by multiplying the given \( \Delta G^\circ_{\text{rxn}} \) by 2.](https://content.bartleby.com/qna-images/question/b9bedd2d-1d65-4fd8-be87-8db278e26903/814aeac6-25e2-41d6-a9c5-077ef700f969/pb5sdj_processed.png)
Transcribed Image Text:**Chemical Reaction and Thermodynamics:**
Given the following equation,
\[ \text{N}_2\text{O}_{(g)} + \text{NO}_2_{(g)} \rightarrow 3\text{NO}_{(g)} \]
\[ \Delta G^\circ_{\text{rxn}} = -23.0 \, \text{kJ} \]
Calculate \( \Delta G^\circ_{\text{rxn}} \) for the following reaction:
\[ 2\text{N}_2\text{O}_{(g)} + 2\text{NO}_2_{(g)} \rightarrow 6\text{NO}_{(g)} \]
**Explanation:**
The given reaction has a Gibbs free energy change (\( \Delta G^\circ_{\text{rxn}} \)) of -23.0 kJ. To find the \( \Delta G^\circ_{\text{rxn}} \) for the second reaction, note that the stoichiometry of the second reaction is exactly double that of the first. Therefore, the \( \Delta G^\circ_{\text{rxn}} \) for the second reaction will be double that of the first equation. Calculate this by multiplying the given \( \Delta G^\circ_{\text{rxn}} \) by 2.
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