A heat engine that operates on a Carnot cycle uses a lowtemperature reservoir at \(25^{\circ} \mathrm{C}\) and runs at an efficiency of 0. 350 . The working substance is nitrogen gas, and the gas chamber contains \(7.50 \times 10^{23} \mathrm{~N}_{2}\) molecules. What is the change in the thermal energy of the \(\mathrm{N}_{2}\) gas between its lowest and highest temperatures?