### Determining the Standard Gibbs Free Energy Change (ΔG⁰ₓₙ)#### Problem Statement:Calculate the value of ΔG⁰ₓₙ for the reaction:\[ 2C \rightarrow 3A + 4B \]#### Given Information:For the reaction:\[C \rightarrow \frac{3}{2} A + 2B\]the standard Gibbs free energy change (ΔG⁰ₓₙ) is given as:\[ ΔG⁰ₓₙ = 240.5 \text{ kJ/mol} \]#### Explanation:To determine the ΔG⁰ₓₙ for the target reaction, consider the given reaction and how it relates to the target reaction.1. The given reaction: \[ C \rightarrow \frac{3}{2} A + 2B \] has a ΔG⁰ₓₙ value of 240.5 kJ/mol.2. For the target reaction: \[ 2C \rightarrow 3A + 4B \] Notice that the target reaction is exactly twice the given reaction: \[ 2 \times \left( C \rightarrow \frac{3}{2} A + 2B \right) \] which simplifies to: \[ 2C \rightarrow 3A + 4B \]3. Therefore, the ΔG⁰ₓₙ for the target reaction will be twice that of the given reaction: \[ ΔG⁰ₓₙ = 2 \times 240.5 \text{ kJ/mol} = 481.0 \text{ kJ/mol} \]### Conclusion:The standard Gibbs free energy change (ΔG⁰ₓₙ) for the reaction \(2C \rightarrow 3A + 4B\) is 481.0 kJ/mol.

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What is the value of AG 2C 3A + 4B ? Given that 3/2 A + 2B rxn for the reaction: AG° = 240.5 kJ/mol rxn

Chemistry

10th Edition

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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Question

### Determining the Standard Gibbs Free Energy Change (ΔG⁰ₓₙ)

#### Problem Statement:
Calculate the value of ΔG⁰ₓₙ for the reaction:

\[
2C \rightarrow 3A + 4B
\]

#### Given Information:
For the reaction:

\[
C \rightarrow \frac{3}{2} A + 2B
\]

the standard Gibbs free energy change (ΔG⁰ₓₙ) is given as:

\[
ΔG⁰ₓₙ = 240.5 \text{ kJ/mol}
\]

#### Explanation:
To determine the ΔG⁰ₓₙ for the target reaction, consider the given reaction and how it relates to the target reaction.

1. The given reaction:
\[
C \rightarrow \frac{3}{2} A + 2B
\]
has a ΔG⁰ₓₙ value of 240.5 kJ/mol.

2. For the target reaction:
\[
2C \rightarrow 3A + 4B
\]

Notice that the target reaction is exactly twice the given reaction:
\[
2 \times \left( C \rightarrow \frac{3}{2} A + 2B \right)
\]
which simplifies to:
\[
2C \rightarrow 3A + 4B
\]

3. Therefore, the ΔG⁰ₓₙ for the target reaction will be twice that of the given reaction:
\[
ΔG⁰ₓₙ = 2 \times 240.5 \text{ kJ/mol} = 481.0 \text{ kJ/mol}
\]

### Conclusion:
The standard Gibbs free energy change (ΔG⁰ₓₙ) for the reaction \(2C \rightarrow 3A + 4B\) is 481.0 kJ/mol.

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