An insulated container holds a mass \(m\) of a liquid with specific heat capacity \(c\). In Experiment 1, a mechanical paddle wheel does work \(W\) on the liquid by stirring it. In Experiment 2, an identical sample of the liquid in an insulated container receives heat \(Q = W\) from a submerged heating wire with no stirring. How does the temperature change \(\Delta T_1\) of the liquid in Experiment 1 compare to the temperature change \(\Delta T_2\) of the liquid in Experiment 2, and why?