Calculating Heat Needed to Melt Metal

[Weave]

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?

 

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

 

[DAKONG]

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]

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

So I am incorrect?

 

[Hootenanny]

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

Q isn't necessarily that from the previous answer.

 

[Weave]

so..what I am I looking for?

 

[Hootenanny]

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...