Simple thermodynamics to be verified

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To calculate the energy required to melt 1mm^3 of carbon steel from 20°C to its melting point of 1535°C, one must consider both the specific heat capacity and the latent heat of fusion. The initial calculation only accounts for heating the metal to the melting temperature, neglecting the energy needed for the phase change from solid to liquid. Therefore, the total energy (Q) should include both the heating energy and the latent heat of fusion. This clarification is crucial for an accurate energy calculation. Understanding these principles is essential for proper thermal analysis in materials science.
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Hi everybody. I need to calculate the energy required to melt 1mm^3 of carbon steel which is initially at 20 degrees C. Knowing the melting temp (1535 C) and the specific heat per unit volume (C_v), can I calculate my energy (Q) as follows?:

Q=C_v*(1535-23) = my answer

Or is it wrong??

Regards, and thanks for help.
 
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Your answer is wrong. Not only must you heat the solid metal to that temperature, but you must add additional energy, the latent heat of fusion, to convert it from solid to liquid yet with no further rise in temperature.
 
NascentOxygen said:
Your answer is wrong. Not only must you heat the solid metal to that temperature, but you must add additional energy, the latent heat of fusion, to convert it from solid to liquid yet with no further rise in temperature.

Thanks very much. That's what I thought I was missing, but I wasn't sure.

Regards
 
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