1. A calorimeter has aluminum inner cup of mass 120 gram containing 200 ml water

Question

1. A calorimeter has aluminum inner cup of mass 120 gram containing 200 ml water at temperature 20 degree Celsius. Brass piece with mass 100 gram is heated to 100 degree Celsius, and then immersed in the calorimeter. Calculate the final temperature of the system. The specific heat of brass is 0.09 cal/(gramXdeg.C). The additional necessary data are provided in the text.

2. A chunk of 22 gram ice is pulled from a freezer keeping temperature -25 deg. Celsius, and placed in an identical calorimeter as the one described in problem 1. The final temperature of the system is measured to be 10 deg. Celsius. What is the experimental latent heat of fusion of ice? The additional necessary data are provided in the text.

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Explanation / Answer

Thermal equilibrium requires that -[ heat loss by hotter objects ]   =   heat gain by colder objects. To each side of the equation a Q = Mc?T must be applied. Note that the final temperature of both water and brass will be the same. We may either call this final temperature Tfor Teq, the equilibrium temperature.

- Mc [Tf- Ti]brass = Mc [Tf- Ti]Al + Mc [Tf- Ti]water

- (100)(0.09)(Tf-100) = (120)(0.215)(Tf-20) + (200)(1)(Tf-20)  

-9Tf + 900 = 25.8Tf -516 + 200Tf -4000

234Tf = 5416

Tf = 23.066C

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