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Work (and heat) are not state functions. Work is proportional to the distance an object is moved, which depends on the path used to go from the initial to the final state (therefore not a state function). Usually doing things that require force and distance are considered as doing "work."
Work is not a state property because the work you have done does not depend on the difference between the final state and the initial state. For example, you may go up a hill along a straight path and you may also go up the hill in a rocky path that increases the distance between the ground and the top of the hill. If you choose the first way, you will walk less, spend less energy, and thus do less work. If you choose the other path, you will spend more energy. Therefore, work is not a state property because attaining the final state by one way may require more energy than the other way.
Work isn't a state property because the energy used when doing work is different based on the path to achieve the final state. When expansion work occurs reversibly, more work is done than if it were to be done irreversibly.
Work is not a state property because it depends on the path taken. If you walk a really roundabout path and a path straight from point a to point b you will spend a different amount of energy and do a different amount of work.
Work is dependent on the path taken. If you're on a football field and you push a sled to the 50 yard line, then you go back to the 30 yard line you do more work than someone who just pushes a sled to the 30 yard line, even though you end up in the same spot.
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