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A state property is a quantity that is independent of how the substance was prepared. For example, pressure and volume are both state properties that do not have anything to do with how a sample is prepared. Heat would not be a state function as it is dependent on what type of reaction takes place.
Distance traveled is a great example of a nonstate property because lets say you take 20 steps forward and then 10 steps backward. How many steps did you take? If distance traveled was a state property you would do final minus initial which would be 10 - 0 = 10 (we are saying your starting point is 0). But we know that you didn't just take 10 steps. You took 20 steps forward and 10 steps backwards. Therefore you actually traveled 30 steps. Distance traveled depends on the pathway.
A state function is a property that is independent of how the substance was created; it only depends on the initial and final state. Some examples include: pressure, density, temperature, volume, enthalpy, internal energy, Gibbs free energy, and entropy.
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