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What is Thermodynamic state function Related: Thermodynamic State Var...
Thermodynamic state function:
Imagine that you want to climb Mount Snowdon in my home country of Wales. Wales is the little country just left of England. You can get up to the top of the mountain two different ways. You can spend two to four hours hiking to the 3,560 feet peak or you can take the train, which is a nice, leisurely 1-hour ride to the top. Because you can't hike up in a straight line, your hiking distance is much more than the height of the mountain. The train, on the other hand, has a much more direct route to the peak.

Both ways will get you to the top, and in both cases, your altitude from start to finish will change by 3,560 feet. Critically, it didn't matter how you got to the top of the mountain, the change in altitude was the same. This is an example of a state function, which is a property whose value does not depend on the path taken to reach that specific value.

In other words, it didn't matter whether you climbed the mountain by foot or went by train, you still ended up 3,560 feet higher up than when you started. Your final position in both cases was the same. Now, not everything is a state function. Let us explore the way you got up the mountain. If you hiked up, you put in a lot more effort to do the climb.
But if you took the train, you put in very little effort to get up the mountain as the train was doing all the work for you. So the amount of effort, put in by you, was different and depended on which way you went up the mountain. We call this effort work.
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What is Thermodynamic state function Related: Thermodynamic State Variables and Equations - Thermodynamics, Class 11, Physics?
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