The radius and the length of a cylindrical metal are 5.00 cm and 20.00 cm at 25C, respectively. After it absorbed 9000 J of heat, the temperature raises from 25C to 85C and its length expands to 20.02 cm. Then, the cylinder was immersed to the water covered with insulator. The water initial temperature was 25C and with mass 500 g. (Specific heat capacity of water is 4200 Jkg-1c-1)(Heat loss through the container and cover is negligible.)   Determine the heat capacity of the metal.

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter19: Temperature, Thermal Expansion And Gas Laws
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The radius and the length of a cylindrical metal are 5.00 cm and 20.00 cm at 25C, respectively. After it absorbed 9000 J of heat, the temperature raises from 25C to 85C and its length expands to 20.02 cm. Then, the cylinder was immersed to the water covered with insulator. The water initial temperature was 25C and with mass 500 g. (Specific heat capacity of water is 4200 Jkg-1c-1)(Heat loss through the container and cover is negligible.)

 

Determine the heat capacity of the metal.

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