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

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### 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.
Transcribed Image Text:### 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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