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How much energy is needed to heat and melt 3.0 kg of copper initially at 83 C?
Wiki User
∙ 12y ago
To perform the calculation you need to know the melting point temperature, the heat capacity, and the latent heat of fusion for copper.
The melting point of copper is 1084.62 oC, so you would have to first heat it up to that temperature before it would melt. The temperature change would be
1084.62 - 83 = 1081.62 °C or a change of 1081.62 K since °C and K are the same size.
The specific heat capacity of copper is 0.38 J g-1 K-1 or 0.38 kJ kg-1 K-1 so for 3.0 kg it would be
3.0 kg x 0.38 kJ/kg∙K x 1081.62 K = 1233 kJ
The heat of fusion is reported to be 13.050 kJ mol-1 (which means we have to first convert that to kJ/kg). The atomic weight of copper is 63.546, so it would take
3.0 kg x 1000 g/kg x 1 mole/63.546 g x 13.050 kJ/mol = 616 kJ.
Combined the total energy required would be 1849 kJ.
Wiki User
∙ 12y ago
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