7. Representative values of V and ApH for the inner mitochondrial membrane and the thylakoid membrane at 25°C are provided in the table. ApH pmf Inner mitochondrial 0.166 V 1.0 membrane Thylakoid membrane 0.03 V 2 A) Calculate the pmf for each membrane and enter the values in the table.

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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
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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