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008 A 0.0456 kg ingot of metal is heated to 215◦C and then is dropped into...

008

A 0.0456 kg ingot of metal is heated to 215◦C and then is dropped into a beaker containing 0.415 kg of water initially at 19◦C. If the final equilibrium state of the mixed system is 21.4 ◦C, find the specific heat of the metal. The specific heat of water is 4186 J/kg · ◦ C.

Answer in units of J/kg · ◦ C.

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Answer #1

From energy conservation principle, heat lost by the metal will be equal to heat gained by the water. We use this to find the specific heat of metal as shown below

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