I in understanding State functions

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Homework Statement




What is a state function? How is it different from a scalar quantity? Use the expression ΔH=q as an example.

Homework Equations





The Attempt at a Solution



So the way I am interpreting this question is that a state function is a reference to say the temperature, pressure, and amount of a substance, not how the substance is acquired, its present state. A scalar quantity would be an amount of say temperature, making it pathway dependent. Using the above equation, I believe that the H-final and H-initial are state functions, and their sum is a scalar quantity that is not a state function.

I am really confused on this topic, any help would be much appreciated.
 
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It's just testing that you know the definition of a state function.
http://en.wikipedia.org/wiki/Functions_of_state

You seem to have the main point - to be a state function or variable, it's value must only depend on the state, while any old variable could depend on anything.

With reference to the relation provided - what are the variables supposed to represent?
Does the outcome (q) depend on how one gets from H_i to H_f ?