A 77.0 g piece of metal at 83.0°C is placed in 123 g of water at 21.0°C contained in a calorimeter. The metal and water come to the same temperature at 25.2°C. How much heat (in J) did the metal give up to the water? (Assume the specific heat of water is 4.18 J/g·°C across the temperature range.)

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A 77.0 g piece of metal at 83.0°C is placed in 123 g of water at 21.0°C contained in a calorimeter. The metal and water come to the same temperature at 25.2°C. How much heat (in J) did the metal give up to the water? (Assume the specific heat of water is 4.18 J/g·°C across the temperature range.)

Expert Solution
Step 1: Determine the heat given by the metal to water from the given data:

Given,

 mass of water = 123 g

mass of piece of metal = 77.0 g

Initial temperature of metal = 83.0 oC

Initial temperature of water = 21.0 oC

Final temperature = 25.2 oC

specific heat of water = 4.18 J/( g. oC ) 

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