The specific heat of a certain metal can be determined by measuring the tempratu

Question

The specific heat of a certain metal can be determined by measuring the temprature change that occurs when a piece of the metal is heated and then placed in an insulated container that is made of the same material and contains water. Suppose the piece of metal has a mass of 100g and is initially at 100 degrees. The container has a mass of 200g and contains 500g of water at an initial temprature of 20 degrees. The final temprature is 21,4 degrees. What is the specific heat capacity of the metal? Show what formula you used! and every step!!


SHOW YOUR EVERY STEP AND THE FORMULAS YOU USED!!!

Explanation / Answer

Let c be the specific heat of the metal. Specific heat of water = 4.187 J/g.K Heat released by hot metal = mass x specific heat x temperature change = 110 x c x (100 - 21.4) = 8646c Heat absorbed by water = mass x specific heat x temperature change = 528 x 4.187 x (21.4 - 20.0) = 3095 J Heat absorbed by container = mass x specific heat x temperature change = 203 x c x (21.4 - 20.0) = 284.2c Total heat released = total heat absorbed 8646c = 3095 + 284.2c Specific heat of the metal = c = 0.370 J/g.K = 0.370 kJ/kg.K

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