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 conditions of work done (W) and heat supplied (q), we can follow these steps:

### Step 1: Understand the Definitions of Different Systems
- **Open System**: Can exchange both heat and matter with the surroundings.
- **Closed System**: Can exchange heat but not matter with the surroundings.
- **Isolated System**: Cannot exchange heat or matter with the surroundings.
- **Adiabatic System**: A specific type of closed system where no heat is exchanged (Q = 0).

### Step 2: Analyze the Given Information
- We know that W is the amount of work done by the system and q is the amount of heat supplied to the system.
- The problem states that W is negative (indicating work is done by the system on the surroundings) and q is positive (indicating heat is supplied to the system).

### Step 3: Determine the Type of System
- Since q is positive, it indicates that heat is being absorbed by the system. This rules out an adiabatic system because, in an adiabatic system, there is no heat exchange (Q = 0).
- The fact that work is done by the system (W is negative) suggests that the system is doing work on the surroundings, which is consistent with a closed system where heat can be absorbed from the surroundings while work is done.

### Step 4: Conclusion
Given that the system absorbs heat (q > 0) and does work (W < 0), the system can be classified as a **closed system**.

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

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