In a Golvenic cell the electrical work done is equal to:

Options

A. free energy change
B. mechanical work done
C. thermodynamic work done
D. all of the above

Answer

To solve the question "In a Galvanic cell, the electrical work done is equal to:", we can follow these steps:

### Step 1: Understand the Concept of Electrical Work in a Galvanic Cell
In a Galvanic cell, chemical energy is converted into electrical energy. The electrical work done by the cell can be related to the change in Gibbs free energy (ΔG) of the electrochemical reaction occurring in the cell.

### Step 2: Relate Gibbs Free Energy to Electrical Work
The relationship between Gibbs free energy change (ΔG) and the electrical work (W) done by the cell can be expressed as:
\[ \Delta G = -W_{electrical} \]
This means that the electrical work done by the cell is equal to the negative of the change in Gibbs free energy.

### Step 3: Identify the Options
The question provides options that include:
1. Free energy change
2. Mechanical work done
3. Thermodynamic work done
4. All of the above

### Step 4: Analyze the Options
From our understanding:
- The electrical work done in a Galvanic cell is primarily related to the free energy change (ΔG).
- Mechanical work and thermodynamic work are not specifically related to the electrical work done in the context of a Galvanic cell.

### Step 5: Conclusion
Thus, the electrical work done in a Galvanic cell is equal to the free energy change (ΔG). Therefore, the correct answer is:
**Answer: Free energy change (ΔG)**

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