Calculate AG°rxn fo

Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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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.
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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