Which of the following statements is/are false?

Options

A. Work is state function
B. Temperature is a state function
C. Change in the state is completely defined when the initial and final states are specified.
D. Work appears at the boundary of the system

Explanation

To determine which of the statements is false, we will analyze each statement one by one based on thermodynamic principles.

**Step 1: Analyze Statement 1**
- **Statement:** Work is a state function.
- **Analysis:** This statement is false. Work is not a state function; it is a path function. This means that the work done depends on the specific path taken during the process, not just the initial and final states of the system.

**Step 2: Analyze Statement 2**
- **Statement:** Temperature is a state function.
- **Analysis:** This statement is true. Temperature is indeed a state function, as it depends only on the current state of the system (i.e., the initial and final states) and not on how the system reached that state.

**Step 3: Analyze Statement 3**
- **Statement:** Change in the state is completely defined when the initial and final states are specified.
- **Analysis:** This statement is true. The change in state can be fully described by knowing the initial and final states of the system, regardless of the path taken between them.

**Step 4: Analyze Statement 4**
- **Statement:** Work appears at the boundary of the system.
- **Analysis:** This statement is true. Work is done at the boundary of the system, such as in the case of a piston in a cylinder where the force is applied at the boundary.

**Conclusion:**
Based on the analysis, the only false statement is:
- **Statement 1:** Work is a state function.

Thus, the answer to the question is that **Statement 1 is false.**

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