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At a foundry, 25 kg of molten aluminum with a temperature of660.4 degrees celsiu

ID: 1673669 • Letter: A

Question

At a foundry, 25 kg of molten aluminum with a temperature of660.4 degrees celsius is poured into a mold. If this is carried outin a romm containing 130 kg of air at 25 degrees celsius, what isthe temperature of the air after the aluminum is completelysolidified? Assume that the specific heat capacity of air is 1.0 x10^3 J/kg x degrees celsius. I'm not sure if this info is neccessary to answer thequestion but just incase: Latent heat of fusion for aluminum (Lf) = 3.97 x 10^5J/kg Latent heat of vaporization of aluminum (Lv) = 1.14 x 10^7J/kg Boiling point of aluminum: 2467 degrees celsius Melting point of aluminum: 660.4 degrees celsius At a foundry, 25 kg of molten aluminum with a temperature of660.4 degrees celsius is poured into a mold. If this is carried outin a romm containing 130 kg of air at 25 degrees celsius, what isthe temperature of the air after the aluminum is completelysolidified? Assume that the specific heat capacity of air is 1.0 x10^3 J/kg x degrees celsius. I'm not sure if this info is neccessary to answer thequestion but just incase: Latent heat of fusion for aluminum (Lf) = 3.97 x 10^5J/kg Latent heat of vaporization of aluminum (Lv) = 1.14 x 10^7J/kg Boiling point of aluminum: 2467 degrees celsius Melting point of aluminum: 660.4 degrees celsius

Explanation / Answer

The heat gained by the air is equal to the heat lost by thealuminum. Since the aluminum is already at its melting point,it will undergo only a phase change. maircairTair =mAlLAl maircairTfinal-Tinitial) = mAlLAl Solve for Tfinal.

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