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

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 55AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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The radius and the length of a cylindrical metal are 5.00 cm and 20.00 cm at 25°C, respectively.
After it absorbed 9000 J of heat, the temperature raises from 25°C to 85°C and its length
expands to 20.02 cm. Then, the cylinder was immersed to the water covered with insulator.
The water initial temperature was 25°C and with mass 500 g. (Specific heat capacity of water
is 4200 Jkg-1°C-1)(Heat loss through the container and cover is negligible.)
Determine
(a) the volume of the cylinder at 85°c.
(b) the heat capacity of the metal.
(c) the equilibrium temperature of water after the cylindrical metal was
immersed to the water.
Transcribed Image Text:The radius and the length of a cylindrical metal are 5.00 cm and 20.00 cm at 25°C, respectively. After it absorbed 9000 J of heat, the temperature raises from 25°C to 85°C and its length expands to 20.02 cm. Then, the cylinder was immersed to the water covered with insulator. The water initial temperature was 25°C and with mass 500 g. (Specific heat capacity of water is 4200 Jkg-1°C-1)(Heat loss through the container and cover is negligible.) Determine (a) the volume of the cylinder at 85°c. (b) the heat capacity of the metal. (c) the equilibrium temperature of water after the cylindrical metal was immersed to the water.
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