A piece of aluminum (specific heat 0.910kJ/kg 0 C) of mass 138g at 74 0 C is dro

Question

A piece of aluminum (specific heat 0.910kJ/kg0C) of mass 138g at 740C is dropped into a Styrofoam cup filled with 159ml water at 200C. What are the final temperatures of the water and the aluminum? Please use C instead of 0C in your answer.

Hint 1: because the cup is well-insulated, you can assume that all the heat leaving the aluminum as it cools goes to heating the water.

Hint 2: How are the final temperature of the aluminum related to the final temperature of the water?

(Use 4.19kJ/kgoC for the specific heat of water.)

Explanation / Answer

suppose final temp is T.

and thereis no heat loss so

heat released by aluminium = heat absorbed by water

138 x 0.910 (74 - T) = 159 x 4.19 (T - 20)

125.58 x74 - 125.58 T = 666.21 T - 666.21 x20

T = 28.6 deg C

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