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Calculate the specific heat of a metal (in calories/gram-degree C) from the following data. A container...

Calculate the specific heat of a metal (in calories/gram-degree C) from the following data. A container made of the metal has a mass of 3.10 kg and contains 11.1 kg of water. A 1.10 kg piece of the same metal, initially at a temperature of 140 degrees C, is placed in the water. The container and water initially have a temperature of 15 degrees C, and the final temperature of the entire system is 18 degrees C.

Solutions

Expert Solution

Specific heat of water

Let the specific heat of metal

Mass of the block

Initial temperature of metal block

Final temperature of metal block

∴ Heat lost by metal block

Container is made of same metal.

So, specific heat of container = specific heat of metal

So, specific heat of container

Mass of the container

Initial temperature of container

Final temperature of container

∴ Heat gained by container

specific heat of water

Mass of the water

Initial temperature of water

Final temperature of water

∴ Heat gained by water

By conservation of energy,

Heat gained by water + Heat gained by container = Heat lost by metal block

So, the specific heat of metal

genius_generous answered 5 months ago
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