Simple thermodynamics to be verified

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SUMMARY

The calculation of energy required to melt 1mm³ of carbon steel at an initial temperature of 20°C involves two key components: heating the steel to its melting point of 1535°C and adding the latent heat of fusion. The formula Q = C_v * (1535 - 20) is insufficient as it neglects the latent heat necessary for the phase change from solid to liquid. Accurate energy calculation must include both the sensible heat and the latent heat of fusion to achieve the correct result.

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lidstrompl
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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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