Human Anatomy & Physiology (11th Edition)
11th Edition
ISBN: 9780134580999
Author: Elaine N. Marieb, Katja N. Hoehn
Publisher: PEARSON
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![**Problem 7: Bioenergetics of Membranes**
**Description:**
Representative values of membrane potential (V_m) and pH difference (ΔpH) for the inner mitochondrial membrane and the thylakoid membrane at 25°C are provided in the table below.
**Table:**
| Membrane | V_m (Volts) | ΔpH | pmf |
|---------------------------------|-------------|-----|--------------|
| Inner mitochondrial membrane | 0.166 V | 1.0 | (to be calculated) |
| Thylakoid membrane | 0.03 V | 2 | (to be calculated) |
**Note**:
- V_m is the membrane potential.
- ΔpH is the pH difference across the membrane.
- pmf stands for proton motive force, calculated using the equation:
\[
\text{pmf} = V_m - 0.059 \times \Delta \text{pH}
\]
**Task (A)**: Calculate the pmf for each membrane and enter the values in the table.
---
**Step-by-Step Calculation**:
1. **For the inner mitochondrial membrane**:
\[
\text{pmf} = 0.166 V - 0.059 \times 1.0
\]
\[
\text{pmf} = 0.166 V - 0.059
\]
\[
\text{pmf} = 0.107 V
\]
2. **For the thylakoid membrane**:
\[
\text{pmf} = 0.03 V - 0.059 \times 2
\]
\[
\text{pmf} = 0.03 V - 0.118
\]
\[
\text{pmf} = -0.088 V
\]
**Updated Table:**
| Membrane | V_m (Volts) | ΔpH | pmf |
|---------------------------------|-------------|-----|--------------|
| Inner mitochondrial membrane | 0.166 V | 1.0 | 0.107 V |
| Thylakoid membrane | 0.03 V | 2 | -0.088 V |
Each](https://content.bartleby.com/qna-images/question/c0f85ff8-2ea0-4d43-a0c0-84de96cc63b8/1459f37c-a3e0-403b-b7d5-0d52c9564155/p4gzij_processed.png)
Transcribed Image Text:**Problem 7: Bioenergetics of Membranes**
**Description:**
Representative values of membrane potential (V_m) and pH difference (ΔpH) for the inner mitochondrial membrane and the thylakoid membrane at 25°C are provided in the table below.
**Table:**
| Membrane | V_m (Volts) | ΔpH | pmf |
|---------------------------------|-------------|-----|--------------|
| Inner mitochondrial membrane | 0.166 V | 1.0 | (to be calculated) |
| Thylakoid membrane | 0.03 V | 2 | (to be calculated) |
**Note**:
- V_m is the membrane potential.
- ΔpH is the pH difference across the membrane.
- pmf stands for proton motive force, calculated using the equation:
\[
\text{pmf} = V_m - 0.059 \times \Delta \text{pH}
\]
**Task (A)**: Calculate the pmf for each membrane and enter the values in the table.
---
**Step-by-Step Calculation**:
1. **For the inner mitochondrial membrane**:
\[
\text{pmf} = 0.166 V - 0.059 \times 1.0
\]
\[
\text{pmf} = 0.166 V - 0.059
\]
\[
\text{pmf} = 0.107 V
\]
2. **For the thylakoid membrane**:
\[
\text{pmf} = 0.03 V - 0.059 \times 2
\]
\[
\text{pmf} = 0.03 V - 0.118
\]
\[
\text{pmf} = -0.088 V
\]
**Updated Table:**
| Membrane | V_m (Volts) | ΔpH | pmf |
|---------------------------------|-------------|-----|--------------|
| Inner mitochondrial membrane | 0.166 V | 1.0 | 0.107 V |
| Thylakoid membrane | 0.03 V | 2 | -0.088 V |
Each
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