Calculating the Heat Required to Melt Lead from 25 oC to 328 oC

Click For Summary

Homework Help Overview

The discussion revolves around calculating the energy required to melt 400 grams of lead, starting from an initial temperature of 25 °C and reaching a final temperature of 328 °C. The subject area includes concepts of thermodynamics, specifically specific heat and latent heat of fusion.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants explore the calculation of energy needed to heat lead to its melting point and then to melt it. There are discussions about the formulas used for specific heat and latent heat, with some participants questioning how to properly set up the equations for each step.

Discussion Status

Some participants have provided guidance on separating the energy calculations into two distinct steps: heating the lead and melting it. There is acknowledgment of the need for different equations for each step, and some participants have confirmed the reasonableness of the calculations presented.

Contextual Notes

Participants are working within the constraints of a homework assignment, which may limit the information they can use or the methods they can apply. There is a focus on ensuring that calculations are presented with appropriate significant figures.

physicskillsme
Messages
24
Reaction score
0
Am I on the right track here?


How much energy is required to melt 400 grams of lead, if the initial temperature is 25 oC?

m=0.4kg deltaT 328-25= 303 SpecHeat = 128


Q=mCdeltaT

Q=.4*128*303

15513.6J
 
Physics news on Phys.org
To melt that lead mass you'll need to do two things:
(1) Increase the temperature to the melting point of lead. (Hint: specific heat)
(2) Melt the lead. (Hint: latent heat of fusion)​
Find the energy for each step separately and add them.
 
Doc Al said:
To melt that lead mass you'll need to do two things:
(1) Increase the temperature to the melting point of lead. (Hint: specific heat)
(2) Melt the lead. (Hint: latent heat of fusion)​
Find the energy for each step separately and add them.


OK so I have the step 1 part OK?

How do I set up part two? Latent heat (fusion) requires a separate equation presumably, I mean different to the Specific Heat in part 1?

So how does this look?

Heat Energy = m X L + m X c X q
 
Last edited:
physicskillsme said:
OK so I have the step 1 part OK?
Looks OK.

How do I set up part two? Latent heat (fusion) requires a separate equation presumably, I mean different to the Specific Heat in part 1?
Heat required to melt a substance = mass X latent heat of fusion

So how does this look?

Heat Energy = m X L + m X c X q
I assume that is meant to represent the energy of both steps? If so, the first term is correct for step 2, but the second term has a q where it should have a delta t. I'll rewrite it:
[tex]Q = Q_1 + Q_2 = m c \Delta t + m L[/tex]
 
m=0.4kg deltaT 328-25= 303 SpecHeat = 128

(1) Increase the temperature to the melting point of lead.


Q=mCdeltaT

Q=.4*128*303

Energy Required to heat: 15513.6J





(2) Melt the lead. (latent heat of fusion)

L=0.25x10^5 Taken for a list of properties where lead is listed as 0.25x10^5 for Melt ie:
Lt(J/kg)


Heat Energy = m * L = 10,000J

Add the energy for each step 10,000+15514=25514J

Answer: 25514J
 
Looks reasonable to me. (Be sure to round off your answer to a sensible number of significant figures.)
 
Doc Al said:
Looks reasonable to me. (Be sure to round off your answer to a sensible number of significant figures.)


OK thanks for your help.
 

Similar threads

  • · Replies 13 ·
Replies
13
Views
4K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 8 ·
Replies
8
Views
3K
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 11 ·
Replies
11
Views
5K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
3
Views
3K
Replies
7
Views
2K