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No work is done in free expansion because there is no external pressure; for example, free expansion occurs when a gas pushes against a piston and expands into a vacuum (in which no work is done). For a gas that is expanding by pushing against a piston and an external pressure (no free expansion), there is work done. For internal energy, you are still looking at the final and initial conditions of the system. I think it's important to consider the conditions of the system.
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