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Eugene S.
University of Minnesota - Twin Cities

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Problem 14 Easy Difficulty

Explain how the sum of heat and work can be a state function, even though heat and work are themselves not state functions.

Answer

$q+w$

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Video Transcript

So this question asked to explain how the some of heat which will call queue plus work, which we will call W. Is a state function, even though heat and work on their own, our path functions. And so we look to the first law of thermodynamics, which states that the change in energy of a system is equal to heat plus work. And so what this means is that since the total energy is a state function, the amount of energy that's being transferred from a system to its surroundings or surroundings to the system will not change. No matter what path you take, the amount of energy is always the same, and so there could be paths where this is predominated by the heat transfer. And there could also be paths where it's pretty, um, dominated by the work done. And so there are many different paths to get this Delta E, which will result in different values for Cuban W. However, there's some is a state function and will always be delta t

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