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.

Solutions

Expert Solution

The heat required to change the temperature of a substance of mass m from T_i to T_f is

where C is the specific heat of the substance

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

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

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

3. The temperature of water changes from 14^oC to T_f, 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 1 year ago

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