
Which of the following is not a state function?
A.) Work-done in adiabatic process
B.) Work-done in isothermal process
C.) Heat at constant pressure
D.) Heat at constant volume
Answer
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Hint: The property whose value does not depend on the path is called a state function. Use this concept and answer the question.
Step By Step Answer:
We have to state which of the following among the given options is not a state function.
As, we know the property or a function which does not depend on the path is called a state function.
So, to know which one is a state function or not, let us study about each of the following options-
Work done in adiabatic process-
Work-done in adiabatic processes is equal to the negative of change in internal energy from the first law of thermodynamics. So, it is a state function.
Work-done in isothermal process-
For work-done in isothermal process, we can write-
The above process is path dependent.
Heat at constant pressure-
For heat at constant pressure, we have-
This is path independent, hence it is a state function.
Heat at constant volume-
For heat at constant volume is equal to change in internal energy from the first law of thermodynamics. So, it is also a state function.
Therefore, among the following, only work-done in an isothermal process is not a state function.
Hence, the correct option is B.
Note: Whenever such types of questions appear, first understand what is a state function and then study each of the given processes to know whether these are path dependent or not. As mentioned in the solution, only work-done in an isothermal process is path dependent, hence it is not a state function.
Step By Step Answer:
We have to state which of the following among the given options is not a state function.
As, we know the property or a function which does not depend on the path is called a state function.
So, to know which one is a state function or not, let us study about each of the following options-
Work done in adiabatic process-
Work-done in adiabatic processes is equal to the negative of change in internal energy from the first law of thermodynamics. So, it is a state function.
Work-done in isothermal process-
For work-done in isothermal process, we can write-
The above process is path dependent.
Heat at constant pressure-
For heat at constant pressure, we have-
This is path independent, hence it is a state function.
Heat at constant volume-
For heat at constant volume is equal to change in internal energy from the first law of thermodynamics. So, it is also a state function.
Therefore, among the following, only work-done in an isothermal process is not a state function.
Hence, the correct option is B.
Note: Whenever such types of questions appear, first understand what is a state function and then study each of the given processes to know whether these are path dependent or not. As mentioned in the solution, only work-done in an isothermal process is path dependent, hence it is not a state function.
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