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I believe that isobaric means constant pressure and in order for that equation to be used, the external pressure has to be held constant. I would be cautious using this though unless it specifically said that the process was irreversible or reversible.
Isobaric means that deltaP = 0, but doesn't say if the process is reversible or irreversible. Therefore, the only assumption one can make is that U = detaH - pdeltaV (as there is only one P value to plug in, usually external pressure).
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