# A 140.0 g sample of water at 25.0°C is mixed with 100.0 g of a metal at 100.0°C. After thermal equilibrium is established, the temperature of the mixture is 29.6°C. What is the heat capacity of the metal (the specific heat of water is 4.18 J/g-K)?

Question
Asked Jun 12, 2019
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A 140.0 g sample of water at 25.0°C is mixed with 100.0 g of a metal at 100.0°C. After thermal equilibrium is established, the temperature of the mixture is 29.6°C. What is the heat capacity of the metal (the specific heat of water is 4.18 J/g-K)?

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## Expert Answer

Step 1

The change in energy of a system is given by,

Step 2

Given problem is a thermal equilibrium situation.  We can use the equation,

Step 3

For metal-wa...

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