If W is the amount of work done by the system and q is the amount of heat supplied to the system, identify the type of the system

Options

A. isolated system
B. closed system
C. Open system
D. system with thermally conducting walls

Answer

To determine the type of system based on the given information about work done (W) and heat supplied (q), we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the First Law of Thermodynamics**:
The first law of thermodynamics states that the change in internal energy (ΔU) of a system is equal to the heat added to the system (q) minus the work done by the system (W). This can be expressed mathematically as:
\[ \Delta U = q - W \]

2. **Identifying the System Type**:
- **Open System**: Can exchange both energy and matter with its surroundings.
- **Closed System**: Can exchange energy (heat and work) but not matter with its surroundings.
- **Isolated System**: Cannot exchange energy or matter with its surroundings.

3. **Analyzing the Given Information**:
In the question, it is stated that work (W) is done by the system and heat (q) is supplied to the system. This indicates that energy is being transferred in the form of heat and work.

4. **Conclusion**:
Since the system is doing work and receiving heat, it must be a closed system. In a closed system, energy can enter or leave the system in the form of heat and work, but matter cannot escape.

### Final Answer:
The type of system is a **closed system**.

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