An adiabatic process is one where no heat is exchanged with the surroundings (Q = 0). According to the First Law of Thermodynamics, ΔU = Q - W, where ΔU is the change in internal energy and W is the work done by the system. In an expansion, the gas does work on its surroundings, so W is positive (W > 0). Since Q = 0, ΔU = 0 - W = -W.