Question

While forming a 1.5kg aluminum statue, a metal smith heats the aluminum to 2700 degrees C, pours it into a mould, and then cools it to a room temperature of 23.0 degrees C. Calculate the thermal energy released by the aluminum during the process.

Answer is supposed to be: 4.7*10^6 j/kg?

Answer 1

The heat released by the aluminum during the process is $3.6 \times 10^6 \ J$.

The given parameters:

• Mass of the statues, m = 1.5 kg
• Final temperature of the status, t₂ = 2700 C
• Temperature when it is in the  mould, t₁ = 23 ⁰C
• Specific heat capacity of aluminum, C = 900

The heat released by the aluminum during the process is calculated as follows;

$Q = mc \Delta t \\\\Q = 1.5\times 900 \times (2700 - 23)\\\\Q = 3.6 \times 10^6 \ J$

Thus, the heat released by the aluminum during the process is $3.6 \times 10^6 \ J$.

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