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a. What is the \(\Delta \varepsilon\) value for the oxidation of ubiquinol by cytochrome \(c\) when the ratio of \(\mathrm{QH}_{2} / \mathrm{Q}\) is 10 and the ratio of cyt \(c\left(\mathrm{Fe}^{3+}\right) /\) cyt \(c\left(\mathrm{Fe}^{2+}\right)\) is 5 ? b. Calculate \(\Delta G\) for the reaction in part a. Assume \(T=25^{\circ} \mathrm{C}\).

Short Answer

Expert verified
We are considering the oxidation of ubiquinol (QH鈧) to ubiquinone (Q) by cytochrome c. This involves two half-reactions: the oxidation of QH鈧 and the reduction of cytochrome c (cyt c).

Step by step solution

01

Understand the Reaction

We are considering the oxidation of ubiquinol (QH鈧) to ubiquinone (Q) by cytochrome c. This involves two half-reactions: the oxidation of QH鈧 and the reduction of cytochrome c (cyt c).
02

Find Standard Reduction Potentials

Consult a table of standard reduction potentials to find the potentials for the half-reactions:- The standard potential for the reduction of ubiquinone to ubiquinol is given as: \(Q + 2H^+ + 2e^- \rightarrow QH_2, E^0 = +0.045 \, V\)- The standard potential for the reduction of cytochrome c from Fe鲁鈦 to Fe虏鈦 is: \( \text{cyt c (Fe}^{3+}\text{) + e}^- \rightarrow \text{cyt c (Fe}^{2+}\text{), } E^0 = +0.22 \, V\)

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Key Concepts

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

Standard Reduction Potential
In biochemical thermodynamics, the concept of standard reduction potential (E^0) plays a pivotal role in understanding electron transfer processes. The standard reduction potential is a measure of the tendency of a chemical species to acquire electrons and thereby be reduced. These potentials are measured under standard conditions, typically at pH 7 in biological systems, known as the standard reduction potential.
  • A positive standard reduction potential indicates a strong tendency to gain electrons.
  • A negative standard reduction potential suggests a weaker tendency to gain electrons.
In the context of redox reactions, especially in the electron transport chain, compounds with higher standard reduction potentials tend to be excellent electron acceptors. For instance, in the given exercise, the standard reduction potentials for converting ubiquinone to ubiquinol and cytochrome c from Fe鲁鈦 to Fe虏鈦 are +0.045 V and +0.22 V respectively.
The difference in these potentials (E) is what drives the redox reaction forward.
Gibbs Free Energy
Gibbs free energy (G) is a thermodynamic potential that helps predict the direction of chemical reactions and the maximum usable energy from a process. It is directly related to the standard reduction potential and, in the case of redox reactions, can be calculated using the relationship:
  • G = -nFE
where G is the change in free energy, n is the number of moles of electrons transferred, F is the Faraday constant (approximately 96,485 C/mol e^-), and E is the cell potential difference.
Understanding Gibbs free energy in biochemical processes is critical because it tells us whether a reaction will proceed spontaneously. A negative G implies that the process is spontaneous under constant temperature and pressure, a hallmark of biological reactions like those in respiration.
Redox Reactions
Redox reactions are fundamental chemical processes where oxidation and reduction occur simultaneously. These reactions involve the transfer of electrons between chemical species and are central to energy production in biological systems.
  • **Oxidation** refers to the loss of electrons.
  • **Reduction** refers to the gain of electrons.
In the provided exercise, ubiquinol undergoes oxidation as it loses electrons to become ubiquinone. Meanwhile, cytochrome c undergoes reduction as it gains electrons, reducing from Fe鲁鈦 to Fe虏鈦.
These reactions are crucial in the context of cellular respiration, where chains of redox reactions facilitate the transfer of electrons through carriers to ultimately produce ATP, the energy currency of the cell.

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