A \(0.350-\mathrm{kg}\) aluminum calorimeter contains \(0.110 \mathrm{~kg}\) of water, and both are at room temperature \(\left(20.0^{\circ} \mathrm{C}\right)\). A \(0.280-\mathrm{kg}\) block of lead at \(90.0^{\circ} \mathrm{C}\) is then dropped into the container. Assuming no heat loss to the surroundings, find the final temperature of the system.