Final answer:
To find the final temperature of the system, we can use the principle of conservation of energy and the equation (m1 * c1 * ΔT1) + (m2 * c2 * ΔT2) = m3 * c3 * ΔT3. By substituting the given values and solving the equation, we can determine the final temperature.
Step-by-step explanation:
The final temperature of the system consisting of the two metal samples and the water can be determined using the principle of conservation of energy. The heat lost by the aluminum and copper is equal to the heat gained by the water. We can use the equation:
(m1 * c1 * ΔT1) + (m2 * c2 * ΔT2) = m3 * c3 * ΔT3
Where m1, c1, and ΔT1 are the mass, specific heat, and temperature change of aluminum, m2, c2, and ΔT2 are the mass, specific heat, and temperature change of copper, and m3, c3, and ΔT3 are the mass, specific heat, and temperature change of water. By substituting the given values and solving the equation, we can find the final temperature of the system.