Answer :
Final answer:
The final temperature of the water after the addition of copper and aluminum cubes can be calculated by treating this as a heat transfer problem with calorimetry principles, using thermal physics. The heat lost by the cubes equals heat gained by the water. We set up and solve equations using this principle to find the final temperature of the water.
Explanation:
This question requires the understanding of thermal physics, specifically, the concept of heat transfer and the principle of calorimetry. The heat lost by the hot copper and aluminum cubes should be equal to the heat gained by the cooler water, assuming no heat loss to the environment.
Using the formula for heat transfer, Q=mcΔT, where Q is the heat, m is the mass, c is the specific heat and ΔT is the change in temperature, we can set up equations for both the metal cubes and the water. For the copper cube, we assume an approximate specific heat of 0.390 J/g °C, and for the aluminum cube, about 0.897 J/g °C. So, we calculate the heat lost by each cube and sum it to equal the heat gained by the water, similarly using its mass, specific heat of 4.184 J/g °C and its change in temperature. This results in a system of equations which can be solved algebraically to find the final temperature of the water.
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