I in understanding State functions

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A state function is a property that depends only on the current state of a system, such as temperature or pressure, rather than the path taken to reach that state. In contrast, a scalar quantity can vary based on the pathway, making it pathway dependent. The expression ΔH=q illustrates that the change in enthalpy (ΔH) is a state function, while the heat (q) can depend on the process used to change from the initial to final state. Clarification is sought on how the variables in the equation relate to state functions and whether the outcome (q) is influenced by the transition method from H_initial to H_final. Understanding the distinction between state functions and other variables is crucial for grasping thermodynamic concepts.
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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.

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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 teh 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 ?
 
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