A sample containing a fixed number of moles of an ideal gas is initially in state i with pressure \(P_0\), volume \(V_0\), and absolute temperature \(T_0\). In three separate quasi-static experiments, the gas expands to a final volume of \(2V_0\) along three different paths:

Path 1: An isobaric expansion
Path 2: An isothermal expansion
Path 3: An adiabatic expansion

Which of the following correctly ranks the magnitude of the change in internal energy, \(|\Delta U|\), of the gas for the three processes?