Calculating Heat Needed to Melt Metal

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SUMMARY

The calculation of heat required to melt a metal involves two key components: heating the metal to its melting point and the latent heat of fusion. The formula Q=Mc(T_{m}-T_{o}) calculates the energy needed to raise the temperature of the metal to its melting point, where M is the mass, c is the specific heat capacity, T_{m} is the melting point, and T_{o} is the initial temperature. Additionally, the phase change requires the latent heat, represented as Q=Mc(T_{m}-T_{o}) + ML, where L is the latent heat per unit mass. Thus, both the temperature change and the phase change must be accounted for to determine the total heat required.

PREREQUISITES
  • Understanding of specific heat capacity and its role in thermal energy calculations.
  • Familiarity with the concept of latent heat and phase changes in materials.
  • Basic knowledge of thermodynamic equations, particularly Q=McΔT.
  • Ability to manipulate algebraic equations to solve for unknown variables.
NEXT STEPS
  • Research the concept of latent heat and its significance in phase transitions.
  • Study the specific heat capacities of various metals to apply in calculations.
  • Explore advanced thermodynamic equations related to heat transfer in materials.
  • Learn about practical applications of heat calculations in metallurgy and material science.
USEFUL FOR

Students studying thermodynamics, engineers working in materials science, and professionals involved in metallurgy and metal processing will benefit from this discussion.

Weave
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Homework Statement


Ok this one is easy I just want to make sure:
A metal of mass M is in a smelter at temperature T_{o}.
How much heat does it take to melt the metal. Given: heat capacity, melting point T_{m}


Homework Equations


Q=Mc\Delta T

The Attempt at a Solution


So it would be simply
Q=Mc(T_{m}-T_{o})
Right?
 
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That's just the energy required to heat the metal up to the melting point, what about the actual phase change (i.e. latent heat)?
 
so \frac{Q}{M}=L Q being the previous answer from Q=Mc\Delta T
 
it should be Q=Mc\Delta T + ML if you melt solid to liquid

Q=Mc\Delta T (unchange state)
Q=ML (change state)
 
Weave said:
so \frac{Q}{M}=L Q being the previous answer from Q=Mc\Delta T

So I am incorrect?
 
Weave said:
so \frac{Q}{M}=L Q being the previous answer from Q=Mc\Delta T
Q isn't necessarily that from the previous answer.
 
so..what I am I looking for?
 
Weave said:
so..what I am I looking for?
I'd be tempted to say that the question isn't answerable unless your given L; but I'm willing to learn...
 

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