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2. A small block of aluminum (of mass 0.08 kg and specific heat 900 J/kg.C) at 94 C is placed in a container of water

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2. A small block of aluminum (of mass 0.08 kg and specific heat 900 J/kg.C) at 94 C is placed in a container of water (of mass 0.125 kg and specific heat 4186 J/kg.C) at 0 C. The two come to thermal equilibrium. What is the final temperature of the two bodies? Hint: calculate the heat energy of each body above T = 0 C, or the amount of heat released to bring the body down to 0 C. Then write an expression for how much heat (above 0 C) the combination of water and aluminum above would have at a common temperature TF. Equate the two expressions and solve for TF - it is mathematically doable, but is not trivial, and is easier than solving a system of simultaneous equations. Also, keep the variables in the equations until the very end - that will make the math easier. There are no phase changes in this problem, just heat moving from the aluminum into the water. This is a tricky problem, but if you follow the hint, you should be able to solve it

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