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Even if you assume it is adiabatic and q=0, you cannot figure out whether it is reversible or irreversible without more information, such as if pressure or volume is constant or not. It also depends on whether the system is closed, open, or isolated.
Adiabatic does not mean that the system is necessarily irreversible or reversible. It simply means that q=0 because there is no change in temperature. This means that the change in internal energy is solely dependent upon work.
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