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The value of specific heat for copper is 390 J/kg⋅C∘, for aluminun is 900 J/kg⋅C∘, and...

The value of specific heat for copper is 390 J/kg⋅C∘, for aluminun is 900 J/kg⋅C∘, and for water is 4186 J/kg⋅C∘. What will be the equilibrium temperature when a 225 g block of copper at 245 ∘C is placed in a 155 g aluminum calorimeter cup containing 835 g of water at 14.0 ∘C ? Express your answer using three significant figures.

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Expert Solution

The heat required to change the temperature of a substance of mass m from Ti to Tf is

where C is the specific heat of the substance

Let Tf be the equilibrium temperature of the copper+Aluminum+water system.

1. The temperature of copper changes from 245oC to Tf, the heat released by copper is

2. The temperature of Aluminum changes from 14oC to Tf, the heat gained by Aluminum is

3. The temperature of water changes from 14oC to Tf, the heat gained by water is

Assuming that no heat lost to surrounding. Net heat transfer by the system to the surrounding is zero.

Substituting given values

genius_generous answered 2 years ago
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