What is the standard reduction potential of the cathode of a galvanic cell if the standard EMF of the cell and the standard reduction potential of the anode are 2.71 and -2.37 respectively?

Options

A. 0.68 volts
B. -0.68 volts
C. -0.34 volts
D. 0.34 volts

Answer

To find the standard reduction potential of the cathode in a galvanic cell, we can use the relationship between the standard EMF of the cell, the standard reduction potential of the anode, and the standard reduction potential of the cathode.

### Step-by-step Solution:

1. **Identify the Given Values**:
- Standard EMF of the cell (E°cell) = 2.71 V
- Standard reduction potential of the anode (E°anode) = -2.37 V

2. **Use the Formula for EMF of a Galvanic Cell**:
The standard EMF of the cell can be expressed as:
\[ E°cell = E°cathode - E°anode \]

3. **Rearrange the Formula to Solve for E°cathode**:
To find the standard reduction potential of the cathode (E°cathode), rearrange the equation:
\[ E°cathode = E°cell + E°anode \]

4. **Substitute the Known Values into the Equation**:
Substitute the values we have:
\[ E°cathode = 2.71 V + (-2.37 V) \]

5. **Perform the Calculation**:
\[ E°cathode = 2.71 - 2.37 \]
\[ E°cathode = 0.34 V \]

6. **Conclusion**:
The standard reduction potential of the cathode is **0.34 V**.