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Calculate the resulting temperature of water and aluminum in a calorimeter.

A 0.5kg mass of aluminum at 0 degrees Celsius is put in 1 kg of water at 78 degrees Celsius in a Calorimeter of negligible mass. What is the resulting temperature at equilibrium?

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m1.c1.( t2 - t1)=heat energy taken= m2.c2.(t3-t2) = heat energy given

0.5 * ...

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The response clearly shows the formulas and calculation to arrive at the answer.