In order to determine a newly developed material\'s specific heat conduct, mater

Question

In order to determine a newly developed material's specific heat conduct, material scientists conduct an experiment. First, they place a chunk of the object (a mass of 100 grams) into boiling water until it's in thermodynamic equilibrium with the boiling water. Next, the object is taken from the biling water and dropped into a perfectly insulated aluminum container of 300 grams that already contains 100 grams of water initially, and the water and aluminum container have a temperature of 25 degrees Celsius. If the final temperature after the object is added rises to 50 degrees Celsius, what is the specific heat of the unknown?

Explanation / Answer

Heat lost or gained = mass * specific heat of substance * change in temperature Heat lost by unknown = heat gained by water + heat gained by aluminium pot Specific heat of water = 4.8 J/g.°C Specific heat of aluminium = 0.902 J/g.°C 100 * C(unknown) * (100-50) = 100 * 4.8 * (50-25) + 300 * 0.902 * (50-25) C(unknown) = 22.647 J/g.°C

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