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Dr. Lavelle's lecture pertained specifically to isothermic reversible expansion. In this type of expansion, the delta U equals 0. This is because isothermal reactions mean that once energy is used in the form of work, the system gains that energy back as heat to maintain the same temperature--thus the net energy change is 0.
Plus, there are certain scenarios when the system is isothermal and thus delta U is equal to 0 such as when the gas expands in a container with a piston (with no pressure being exerted) and in a vacuum, therefore there is no work or heat transfer.
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