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Internal energy is an extensive state function. That means it depends on how much of a substance you have but if you fix the composition, pressure, temperature, volume, and (in the case of a system at a phase equlibrium point, like water at the freezing point) the phase of a system, the specific internal energy will be constant. If you take a closed system and change the volume of it, you will be doing work (or allowing the system to do work) and the internal energy can change - so - yes - internal energy of a system depends upon volume. Also, if you fix the composition, temperature, pressure, and phase of a homogeneous mass but change the volume, you will increase the amount of mass you included in the system, thus changing the total internal energy (because it is, after all, an extensive function).

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Q: Does internal energy of system depends upon volume?
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