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...