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11. the illustrations below show the reaction progress curves for two d…

Question

  1. the illustrations below show the reaction progress curves for two different reactions. indicate the activation energy as well as the $\delta g$ for each reaction. which reaction is endergonic? which reaction is exergonic? \\(\boldsymbol{\sqrt{}}_1\\)

Explanation:

Step1: Define activation energy

Activation energy ($E_a$) is the free energy difference between the substrate and the highest energy peak (transition state) on the curve.
For (A): $E_a = G_{\text{transition state (A)}} - G_{\text{substrate (A)}}$
For (B): $E_a = G_{\text{transition state (B)}} - G_{\text{substrate (B)}}$

Step2: Define $\Delta G$ (free energy change)

$\Delta G = G_{\text{product}} - G_{\text{substrate}}$
For (A): $\Delta G = G_{\text{product (A)}} - G_{\text{substrate (A)}} < 0$ (product has lower free energy)
For (B): $\Delta G = G_{\text{product (B)}} - G_{\text{substrate (B)}} > 0$ (product has higher free energy)

Step3: Classify reaction type

Exergonic reactions have $\Delta G < 0$; endergonic reactions have $\Delta G > 0$.

Answer:

  1. Activation Energy:
  • For Reaction (A): Activation energy is the vertical difference between the substrate free energy and the highest free energy peak on curve (A).
  • For Reaction (B): Activation energy is the vertical difference between the substrate free energy and the highest free energy peak on curve (B).
  1. $\Delta G$:
  • Reaction (A): $\Delta G = G_{\text{product}} - G_{\text{substrate}} < 0$ (negative value)
  • Reaction (B): $\Delta G = G_{\text{product}} - G_{\text{substrate}} > 0$ (positive value)
  1. Reaction Classification:
  • Reaction (A) is exergonic.
  • Reaction (B) is endergonic.