A 1.0 kg sample of water at \( 80^\circ C \) is placed in thermal contact with a 2.0 kg sample of water at \( 20^\circ C \). If the system is insulated, what will be the final equilibrium temperature of the system? Assume no heat loss to the surroundings, and the specific heat capacity of water is \( 4.18 \, \text{J/g}^\circ \text{C} \).