A state function is a relationship between
thermodynamic quantities--what it means is
that if you have
thermodynamic variables
that describe the system that you are interested in
and you have a state function, then you can specify
of the variables and the other is determined by
the state function.
A state function is a model for a material or a system.
Note that the definition of a state function implies a dependence between some variable and the current value of the other thermodynamic values--in other words, it doesn't matter how the system arrived at a certain state. State functions cannot depend on the any of the prior processes--state functions are history-independent.
Question: Can you write an equation that describes how far the lecturer is located from the corner of the room?
Question: Is the distance of the lecturer from the corner of the room a state function? What are the variables?
Question: Can you write a differential expression for this distance in terms of its variables?
Question: What assumptions have been made in writing down the model for distance?
Question: Imagine that you have closed your eyes for a few seconds and the lecturer walks to a new location in the room, can you write an equation expressing how far he has walked?
Question: Is the `distance the lecturer has walked' a state function?
Question: If the `distance the lecturer has walked' is not a state function, is there any modification to the phrase that would make it a state function?