7. Representative values of Vm and ApH for the inner mitochondrial membrane and the thylakoid membrane at 25°C are provided in the table. Vm ApH pmf Inner mitochondrial 0.166 V 1.0 0.2251 membrane Thylakoid membrane 0,1443 0.03 V B) What is the value of AG for the thermodynamically feasible (“downhill") movement of 1 mole of H across the inner mitochondrial membrane?
7. Representative values of Vm and ApH for the inner mitochondrial membrane and the thylakoid membrane at 25°C are provided in the table. Vm ApH pmf Inner mitochondrial 0.166 V 1.0 0.2251 membrane Thylakoid membrane 0,1443 0.03 V B) What is the value of AG for the thermodynamically feasible (“downhill") movement of 1 mole of H across the inner mitochondrial membrane?
Biochemistry
9th Edition
ISBN:9781319114671
Author:Lubert Stryer, Jeremy M. Berg, John L. Tymoczko, Gregory J. Gatto Jr.
Publisher:Lubert Stryer, Jeremy M. Berg, John L. Tymoczko, Gregory J. Gatto Jr.
Chapter1: Biochemistry: An Evolving Science
Section: Chapter Questions
Problem 1P
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![### Understanding Mitochondrial and Thylakoid Membrane Potentials
#### Question 7
**Table: Representative values of Membrane Potential (Vm) and pH Differential (ΔpH) for Membranes at 25°C**
The table below provides representative values of membrane potential (Vm) and pH differential (ΔpH) for the inner mitochondrial membrane and the thylakoid membrane at 25°C. Additionally, the proton motive force (pmf) has been calculated.
| Membrane | Vm (V) | ΔpH | pmf |
|-----------------------------|--------|------|--------|
| Inner mitochondrial membrane | 0.166 | 1.0 | 0.2251 |
| Thylakoid membrane | 0.03 | 2 | 0.1483 |
#### Explanation of the Table
- **Inner mitochondrial membrane**: This membrane has a Vm of 0.166 V and a ΔpH of 1.0, leading to a pmf value of 0.2251.
- **Thylakoid membrane**: This membrane has a Vm of 0.03 V and a ΔpH of 2, resulting in a pmf value of 0.1483.
#### Question B
**Calculation of ΔG for Hydrogen Ion Movement across the Inner Mitochondrial Membrane**
*What is the value of ΔG for the thermodynamically feasible (“downhill”) movement of 1 mole of H+ across the inner mitochondrial membrane?*
### Understanding Proton Motive Force and Gibbs Free Energy (ΔG)
The proton motive force (pmf) is a key indicator of the electrochemical gradient across a membrane, which includes contributions from both the electric potential (Vm) and the pH gradient (ΔpH). For the inner mitochondrial membrane, the ΔG for the movement of protons can be determined using the pmf.
The Gibbs free energy change (ΔG) for the movement of protons is calculated using the equation:
\[ \Delta G = -nF(pmf) \]
Where:
- \( \Delta G \) is the Gibbs free energy change.
- \( n \) is the number of moles of protons moved (in this case, 1 mole).
- \( F \) is the Faraday constant (approximately 96,485 C/mol).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc0f85ff8-2ea0-4d43-a0c0-84de96cc63b8%2Fb861c925-6d85-4386-bdc4-0719f2cd9cfc%2Ffwx26j_processed.png&w=3840&q=75)
Transcribed Image Text:### Understanding Mitochondrial and Thylakoid Membrane Potentials
#### Question 7
**Table: Representative values of Membrane Potential (Vm) and pH Differential (ΔpH) for Membranes at 25°C**
The table below provides representative values of membrane potential (Vm) and pH differential (ΔpH) for the inner mitochondrial membrane and the thylakoid membrane at 25°C. Additionally, the proton motive force (pmf) has been calculated.
| Membrane | Vm (V) | ΔpH | pmf |
|-----------------------------|--------|------|--------|
| Inner mitochondrial membrane | 0.166 | 1.0 | 0.2251 |
| Thylakoid membrane | 0.03 | 2 | 0.1483 |
#### Explanation of the Table
- **Inner mitochondrial membrane**: This membrane has a Vm of 0.166 V and a ΔpH of 1.0, leading to a pmf value of 0.2251.
- **Thylakoid membrane**: This membrane has a Vm of 0.03 V and a ΔpH of 2, resulting in a pmf value of 0.1483.
#### Question B
**Calculation of ΔG for Hydrogen Ion Movement across the Inner Mitochondrial Membrane**
*What is the value of ΔG for the thermodynamically feasible (“downhill”) movement of 1 mole of H+ across the inner mitochondrial membrane?*
### Understanding Proton Motive Force and Gibbs Free Energy (ΔG)
The proton motive force (pmf) is a key indicator of the electrochemical gradient across a membrane, which includes contributions from both the electric potential (Vm) and the pH gradient (ΔpH). For the inner mitochondrial membrane, the ΔG for the movement of protons can be determined using the pmf.
The Gibbs free energy change (ΔG) for the movement of protons is calculated using the equation:
\[ \Delta G = -nF(pmf) \]
Where:
- \( \Delta G \) is the Gibbs free energy change.
- \( n \) is the number of moles of protons moved (in this case, 1 mole).
- \( F \) is the Faraday constant (approximately 96,485 C/mol).
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