A student performs two calorimetry trials in an insulated vessel containing water. In Trial 1, a process transfers heat \(q\) to \(50.0\text{ g}\) of water, resulting in a temperature change of \(\Delta T_1\). In Trial 2, the same process transfers the same amount of heat \(q\) to \(100.0\text{ g}\) of water, resulting in a temperature change of \(\Delta T_2\). Assuming no heat is lost to the surroundings, what is the ratio \(\dfrac{\Delta T_1}{\Delta T_2}\)?