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Which of the following reactions could be coupled to an endergonic reaction with \(\Delta G=+3.56 \mathrm{kJ} / \mathrm{mol} ?\) (a) \(\mathrm{A} \rightarrow \mathrm{B}, \Delta G=\) \(+6.08 \mathrm{kJ} / \mathrm{mol}\) (b) \(\mathrm{C} \longrightarrow \mathrm{D}, \Delta G=+3.56 \mathrm{kJ} / \mathrm{mol}\) (c) \(\mathrm{E} \rightarrow \mathrm{F}, \Delta G=\) \(0 \mathrm{kJ} / \mathrm{mol}\) ( (d) \(\mathrm{G} \rightarrow \mathrm{H}, \Delta G=-1.22 \mathrm{k} / / \mathrm{mol}\) (e) \(\mathrm{I} \longrightarrow \mathrm{J}, \Delta G=\) \(-5.91 \mathrm{kJ} / \mathrm{mol}\).

Short Answer

Expert verified
The reaction \( I \rightarrow J \) with \( \Delta G = -5.91 \text{kJ/mol} \) can be coupled to the endergonic reaction.

Step by step solution

01

Understand Coupling and Endergonic Reactions

Coupling reactions involve combining an endergonic reaction (requiring energy) with an exergonic reaction (releasing energy), so that the net energy change is negative or zero (favorable). Here, the endergonic reaction has \( \Delta G = +3.56 \text{ kJ/mol} \).
02

Analyze Exergonic Reactions

Select reactions from the list that have a negative \( \Delta G \), indicating they are exergonic and release energy: (d) \( G \rightarrow H, \Delta G = -1.22 \text{ kJ/mol} \) and (e) \( I \rightarrow J, \Delta G = -5.91 \text{ kJ/mol} \).
03

Check if Combined \( \Delta G \) is Negative or Zero

Calculate the net \( \Delta G \) for combining each exergonic reaction with the endergonic reaction: - For reaction \( (d) \): \[ (+3.56) + (-1.22) = +2.34 \text{ kJ/mol} \] - For reaction \( (e) \): \[ (+3.56) + (-5.91) = -2.35 \text{ kJ/mol} \] Only \( I \rightarrow J \) (option e) results in a net \( \Delta G \) that is negative.
04

Conclusion: Select the Appropriate Coupling

Since the reaction \( I \rightarrow J \) has a net \( \Delta G \) that is negative when coupled with the endergonic reaction \( \Delta G=+3.56 \text{ kJ/mol} \), it can drive the endergonic reaction.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Endergonic Reaction
In simple terms, an endergonic reaction is a chemical reaction that requires energy input to proceed. This happens because the reactions are non-spontaneous and have a positive change in Gibbs Free Energy (\( \Delta G \)). It means that the products of the reaction require more energy than the starting materials (reactants) had. This excess energy needs to come from an external source.

Endergonic reactions are typical in biological processes such as the synthesis of glucose during photosynthesis. In our exercise, we are given an endergonic reaction with \( \Delta G = +3.56 \text{ kJ/mol} \), indicating that it requires energy to proceed and cannot happen on its own without being coupled to a reaction that releases energy.
  • Requires input of energy
  • Positive \( \Delta G \) value
  • Non-spontaneous
Understanding these key aspects of endergonic reactions helps us grasp why they must be coupled with energy-releasing reactions to occur.
Exergonic Reaction
Exergonic reactions are the opposite of endergonic reactions. These reactions release energy, usually in the form of heat, as they proceed. Their characteristic feature is a negative change in Gibbs Free Energy (\( \Delta G \)), which means these reactions are spontaneous.

In the context of reaction coupling, exergonic reactions supply the energy needed to drive endergonic reactions. In other words, the energy released by exergonic reactions can be harnessed to provide energy for processes that require more energy input. For example, in cells, the breakdown of ATP (adenosine triphosphate) is an exergonic reaction that is commonly linked with many other endergonic reactions.
  • Releases energy, often as heat
  • Negative \( \Delta G \) value
  • Spontaneous
In our exercise, the reaction \( I \rightarrow J \) with \( \Delta G = -5.91 \text{ kJ/mol} \) is exergonic and releases enough energy to drive the given endergonic reaction.
Gibbs Free Energy
Gibbs Free Energy (commonly denoted by \( \Delta G \)) is a crucial concept in chemistry for determining whether a reaction can occur spontaneously. It is effectively the amount of "useful" energy in a reaction that can do work. The equation used to calculate Gibbs Free Energy is:\[ \Delta G = \Delta H - T \Delta S \]Where \( \Delta H \) is the change in enthalpy (total energy), \( T \) is temperature in Kelvin, and \( \Delta S \) is the change in entropy (disorder).

\( \Delta G \) tells us the spontaneity of a reaction. A negative \( \Delta G \) suggests that a reaction is spontaneous and likely to occur on its own. A positive \( \Delta G \) indicates that a reaction is non-spontaneous and requires additional energy to occur.
  • \( \Delta G < 0 \): Reaction is spontaneous (exergonic)
  • \( \Delta G > 0 \): Reaction is non-spontaneous (endergonic)
  • \( \Delta G = 0 \): Reaction is at equilibrium
In biochemical pathways, understanding Gibbs Free Energy helps in predicting the direction and feasibility of biochemical processes. In the exercise, \( \Delta G \) values helped us determine which combinations of reactions could be coupled to make the overall process feasible by achieving a net negative \( \Delta G \).

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Most popular questions from this chapter

A spontaneous reaction is one in which the change in free energy \((\Delta G)\) has a ______________ value. (a) positive (b) negative (c) positive or negative (d) none of these (G has no measurable value).

Consider this reaction: Glucose \(+6 \mathrm{O}_{2} \rightarrow 6 \mathrm{CO}_{2}+6 \mathrm{H}_{2} \mathrm{O}\) \((\Delta G=-2880 \mathrm{k}] / \mathrm{mol}) .\) Which of the following statements about this reaction is not true? (a) the reaction is spontaneous in a thermodynamic sense (b) a small amount of energy (activation energy) must be supplied to start the reaction, which then proceeds with a release of energy (c) the reaction is exergonic (d) the reaction can be coupled to an endergonic reaction (e) the reaction must be coupled to an exergonic reaction.

According to the first law of thermodymamics (a) energy may be changed from one form to another but is neither created nor destroyed (b) much of the work an organism does is mechanical work (c) the disorder of the universe is increasing (d) free energy is available to do cell work (e) a cell is in a state of dynamic equilibrium.

To drive a reaction that requires an input of energy (a) an enzymesubstrate complex must form (b) the concentration of ATP must be decreased (c) the activation energy must be increased (d) some reaction that yields energy must be coupled to it (e) some reaction that requires energy must be coupled to it.

The region of an enzyme molecule that combines with the substrate is the (a) allosteric site (b) reactant (c) active site (d) coenzyme .(e) product

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