In a cyclic process, work done by the system is

Options

A. Zero
B. More than the heat given to the system
C. Equal to heat given to the system
D. Independent of heat given to the system

Answer

To solve the question regarding the work done by the system in a cyclic process, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Cyclic Process**:
- In a cyclic process, the system returns to its initial state after completing a series of processes. This means that the initial and final states (pressure, volume, and temperature) are the same.

2. **Analyzing the PV Diagram**:
- On a Pressure-Volume (PV) diagram, the cyclic process is represented by a closed loop. The area enclosed by this loop represents the work done by the system during the cycle.

3. **Change in Internal Energy**:
- The change in internal energy (ΔU) for a cyclic process is zero because the system returns to its original state. Mathematically, ΔU = 0.

4. **Applying the First Law of Thermodynamics**:
- The first law of thermodynamics states:
\[ \Delta U = Q - W \]
where Q is the heat added to the system, and W is the work done by the system. Since ΔU = 0, we can rearrange this equation:
\[ Q = W \]
- This means that the heat added to the system is equal to the work done by the system.

5. **Determining the Work Done**:
- The work done by the gas in a cyclic process is equal to the area enclosed by the loop on the PV diagram. This area can be positive or negative depending on whether the process involves expansion or compression.

6. **Conclusion**:
- Therefore, the work done by the system in a cyclic process is represented by the area enclosed in the PV diagram, and it is not zero.

### Final Answer:
The work done by the system in a cyclic process is equal to the area enclosed by the cycle on the PV diagram.

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