If a system undergoes an irreversible adiabatic process, then
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In an adiabatic process there is no heat transfer between the system undergoing the process and its environment; this is the definition of being adiabatic irrespective of being reversible or irreversible. If the process is adiabatic and reversible then at any stage of the process the system's entropy is constant; if the process is irreversible and adiabatic then during its irreversible stages the entropy of the system increases. In other words, an adiabatic process is such that the interaction between the system and its environment is mechanical, here mechanical is meant to be in its general sense including also electric, magnetic, gravitational, etc., interactions from the other parts of physics.
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