# Maximum amount of lead melted confused

1. Nov 15, 2006

### mawalker

This is the question...

What is the maximum mass of lead you could melt with 1000 J of heat, starting from 20C?

I know that for lead
Tm = 328 degrees C
Lf (j/k) = 0.25 x 10 ^5
Tb = 1750 degrees C
Lv = 8.58 x 10^5

but i'm not really sure what i need to use. Q = Mc delta T

but how can you figure this without having an ending temperature? I'm confused. Anyone have an idea?

2. Nov 15, 2006

### Staff: Mentor

Hint: Assume the lead has just melted. What's its final temperature?

Hint2: Think of there being two steps:
(1) Raising the temperature
(2) Melting the lead​

3. Nov 15, 2006

### mawalker

the lead begins to melt at 328 degrees celsius. so this would be the final temperature?

4. Nov 15, 2006

### Staff: Mentor

Sounds right to me.

5. Nov 15, 2006

### mawalker

ok so delta T = 308. c of lead = 128, setting up my equation 1000J = M(128)(308).... 1000 = 39424M M = .02536 kg. M = 25.36 g and this is the wrong answer.

6. Nov 15, 2006

### Staff: Mentor

Looks like you only considered the first step (raising the temperature) and not the second (the actual melting). The total energy of those two steps equals 1000 J.

7. Nov 15, 2006

### mawalker

i don't really understand. what would be the change in temperature during the melting? wouldn't it just be zero? or would it just keep increasing?

8. Nov 15, 2006

### Staff: Mentor

During the state change (step 2) the temperature doesn't change, but energy is still required to melt a given mass of lead. Consider the latent heat of fusion.

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