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A 0.500 kg chunk of an unknown metal that has been in boiling water for several

ID: 1989349 • Letter: A

Question

A 0.500 kg chunk of an unknown metal that has been in boiling water for several minutes is quickly dropped into an insulating Styrofoam beaker containing 1.00 kg of water at room temperature (20.0oC). After waiting and gently stirring for 5.00 minutes, you observe that the water's temperature has reached a constant value of 22.0oC. (a) Assuming that the Styrofoam absorbs a negligibly small amount of heat and that no heat was lost to the surroundings, what is the specific heat capacity of the metal? (b) Which is more useful for storing energy from heat, this metal or an equal weight of water? Explain. (c) What if the heat absorbed by the Styrofoam actually is not negligible. How would the specific heat capacity you calculated in part (a) be in error? Would it be too large, too small, or still correct? Explain your reasoning.

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Explanation / Answer

Assuming that metal has attained a tempreture of100oC in boiling water Heat lost by metal = heat gained by water in beaker 0.5c(100 - 22) = 1*4200*(22-20)   where c isthe specific haet capacity of the metal 39c = 8400 or c= 215.4 J /kg oC b)The metal as it carries large amount of heat in a small massand it does not loose heat in evaporation