CH₂OH C=O CH₂OPO DHAP Triose phosphate isomerase H C O HCOH I CH₂OPO G-3-P Under standard conditions, AG° = +7.53 kJ/mol. What is AG when the initial concentration of DHAP is 2 x 10-4 M and the initial concentration of G-3-P is 3 x 10-6 M? R = 8.314 x 10-3 kJ*mol-¹*K-1 T = 310 K

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Chapter1: Chemical Foundations
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### Reaction Overview

The image illustrates the isomerization reaction between Dihydroxyacetone phosphate (DHAP) and Glyceraldehyde 3-phosphate (G-3-P) catalyzed by the enzyme triose phosphate isomerase. 

**Chemical Structures:**

- **DHAP (Dihydroxyacetone phosphate):**
  - Structural Formula: 
    - \( \text{CH}_2\text{OH} \)
    - \( | \)
    - \( \text{C} \)
    - \( || \)
    - \( \text{O} \)
    - \( | \)
    - \( \text{CH}_2\text{OPO}_3^{2-} \)

- **G-3-P (Glyceraldehyde 3-phosphate):**
  - Structural Formula:
    - \( \text{H} \)
    - \( | \)
    - \( \text{C} \)
    - \( || \)
    - \( \text{O} \)
    - \( | \)
    - \( \text{HCOH} \)
    - \( | \)
    - \( \text{CH}_2\text{OPO}_3^{2-} \)

### Reaction Conditions

Under standard conditions:

- \(\Delta G^\circ = +7.53 \text{ kJ/mol}\)

To find \(\Delta G\) under specific conditions:

- **Initial Concentration of DHAP:** \(2 \times 10^{-4} \text{ M}\)
- **Initial Concentration of G-3-P:** \(3 \times 10^{-6} \text{ M}\)

### Constants

- **R (Universal Gas Constant):** \(8.314 \times 10^{-3} \text{ kJ} \cdot \text{mol}^{-1} \cdot \text{K}^{-1}\)
- **T (Temperature):** \(310 \text{ K}\)

This setup is used to calculate the Gibbs free energy (\(\Delta G\)) for the reaction based on the provided concentrations and conditions using the equation:

\[
\Delta G = \Delta G^\circ + RT \ln \left(\frac{[\text{G-3-P}]}{[\text{DHAP}]}\right)
\]

This equation allows for determining the energy change
Transcribed Image Text:### Reaction Overview The image illustrates the isomerization reaction between Dihydroxyacetone phosphate (DHAP) and Glyceraldehyde 3-phosphate (G-3-P) catalyzed by the enzyme triose phosphate isomerase. **Chemical Structures:** - **DHAP (Dihydroxyacetone phosphate):** - Structural Formula: - \( \text{CH}_2\text{OH} \) - \( | \) - \( \text{C} \) - \( || \) - \( \text{O} \) - \( | \) - \( \text{CH}_2\text{OPO}_3^{2-} \) - **G-3-P (Glyceraldehyde 3-phosphate):** - Structural Formula: - \( \text{H} \) - \( | \) - \( \text{C} \) - \( || \) - \( \text{O} \) - \( | \) - \( \text{HCOH} \) - \( | \) - \( \text{CH}_2\text{OPO}_3^{2-} \) ### Reaction Conditions Under standard conditions: - \(\Delta G^\circ = +7.53 \text{ kJ/mol}\) To find \(\Delta G\) under specific conditions: - **Initial Concentration of DHAP:** \(2 \times 10^{-4} \text{ M}\) - **Initial Concentration of G-3-P:** \(3 \times 10^{-6} \text{ M}\) ### Constants - **R (Universal Gas Constant):** \(8.314 \times 10^{-3} \text{ kJ} \cdot \text{mol}^{-1} \cdot \text{K}^{-1}\) - **T (Temperature):** \(310 \text{ K}\) This setup is used to calculate the Gibbs free energy (\(\Delta G\)) for the reaction based on the provided concentrations and conditions using the equation: \[ \Delta G = \Delta G^\circ + RT \ln \left(\frac{[\text{G-3-P}]}{[\text{DHAP}]}\right) \] This equation allows for determining the energy change
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