Two identical samples of a monatomic ideal gas, Sample 1 and Sample 2, each contain the same number of moles and begin at an initial state with pressure \(P_0\) and volume \(V_0\). Both samples expand to a final volume of \(3V_0\). Sample 1 expands isobarically at constant pressure \(P_0\), while Sample 2 expands along a straight-line path on a pressure-versus-volume (\(PV\)) diagram to a final state with pressure \(\dfrac{1}{3}P_0\) and volume \(3V_0\). What is the ratio of the net thermal energy transferred into Sample 2 by heating to that transferred into Sample 1 by heating, \(\dfrac{Q_2}{Q_1}\)?