Applying the Energy BalanceIn a heat-treating process, a

QUESTION:

In a heat-treating process, a \(1-\mathrm{kg}\) metal part, initially at \(1075 \mathrm{~K}\), is quenched in a closed tank containing \(100 \mathrm{~kg}\) of water, initially at \(295 \mathrm{~K}\). There is negligible heat transfer between the contents of the tank and their surroundings. Modeling the metal part and water as incompressible with constant specific heats \(0.5 \mathrm{~kJ} / \mathrm{kg} \cdot \mathrm{K}\) and \(4.4 \mathrm{~kJ} / \mathrm{kg} \cdot \mathrm{K}\), respectively, determine the final equilibrium temperature after quenching, in K.