Phase change

Weave

1. The problem statement, all variables and given/known data
Ok this one is easy I just want to make sure:
A metal of mass [tex]M[/tex] is in a smelter at temperature [tex]T_{o}[/tex].
How much heat does it take to melt the metal. Given: heat capacity, melting point [tex]T_{m}[/tex]


2. Relevant equations
[tex]Q=Mc\Delta T[/tex]

3. The attempt at a solution
So it would be simply
[tex] Q=Mc(T_{m}-T_{o})[/tex]
Right?

Hootenanny

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)?

Weave

so [tex]\frac{Q}{M}=L[/tex] Q being the previous answer from [tex]Q=Mc\Delta T[/tex]

DAKONG

it should be [tex]Q=Mc\Delta T + ML[/tex] if you melt solid to liquid

[tex]Q=Mc\Delta T[/tex] (unchange state)
[tex]Q=ML[/tex] (change state)

Weave

So I am incorrect?

Hootenanny

Q isn't necessarily that from the previous answer.

Weave

so..what I am I looking for?

Hootenanny

I'd be tempted to say that the question isn't answerable unless your given L; but I'm willing to learn...