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

Answer
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Hint: A state function of any system is only depending upon the initial and final state of the system throughout a process, but does not depend upon the pathway of the process. The state functions can be exact differentiable but a path function that depends upon the pathway of the process is not exactly differentiable.

Complete step by step answer:
According to thermodynamics,the temperature is a state function. It is only depending upon the initial and final state of the system throughout a process, but does not depend upon the pathway of the thermodynamic process.
According to the definition of a state function, change in the state is completely defined when the initial and final states are specified.
The work done of a thermodynamic change is a boundary process. It appears at the boundary only.
Work is not a state function, this is because the value of work done depends upon the pathway of the thermodynamic change from the initial state to the final state.

So, the correct option is A.

Note:
This concept of entropy is used to measure the spontaneity of any process or change of the system. According to the second law of thermodynamics for an isolated system( no exchange of heat or mass with the surroundings) the reversible process always proceeds to increase the entropy. It is a state function.