Solving the Melting Ice Problem

  • Thread starter Thread starter nuky999
  • Start date Start date
  • Tags Tags
    Ice Melting
AI Thread Summary
The discussion centers on solving a thermodynamics problem involving the melting of ice in a calorimeter. A user presents an initial equation but struggles to understand the problem statement and the relevant constants. The final temperature of the system is clarified to be 0°C, as the ice melts at this temperature, despite initial confusion about whether it could be 100°C. Participants emphasize the need for a foundational understanding of thermodynamics to tackle the problem effectively. Overall, the conversation highlights the importance of grasping basic concepts before attempting complex calculations.
nuky999
Messages
7
Reaction score
0
Homework Statement
In calorimeter with 0.1kg ice temperature 0C we add water vapor temperature 100C. How much water will be left in calorimeter after the ice melts ?
Relevant Equations
Q1=Q2

m1Cv(t2-t1)=m2Qi
I don't know how to make an equation from this task. I tried doing this:
Q1=Q2
m1Cv(t2-t1)=m2Qi

m1 - mass of the ice
m2 = mass of the water that's left after melting
t1 - temperature 0C
t2 - temperature 100C
Qi = 2.25 x 10^6 J/kg

This is my first post here I hope I didnt break any rules.
Cheers !
 
Physics news on Phys.org
This is not the exact statement of the problem, right? Please provide the exact verbatim statement.
 
Chestermiller said:
verbatim
I will try to translate the problem as best as I can:

In calorimeter with 0.1kg ice and the ice temperature 0C, the water vapor with temperature 100C gets in. How much water will be left in calorimeter just after the entire ice melts ?
Constants: qi = 2.25 x 10^6 J/kg, qt = 3.33 x 10^5 J/kg, Cv = 4186 J/kgK
 
nuky999 said:
I will try to translate the problem as best as I can:

In calorimeter with 0.1kg ice and the ice temperature 0C, the water vapor with temperature 100C gets in. How much water will be left in calorimeter just after the entire ice melts ?
Constants: qi = 2.25 x 10^6 J/kg, qt = 3.33 x 10^5 J/kg, Cv = 4186 J/kgK
Much better.

Now, what do you think the final temperature is (and why)?
(a) 0 C
(b) 100 C
(c) Somewhere between 0 C and 100 C
 
Chestermiller said:
Much better.

Now, what do you think the final temperature is (and why)?
(a) 0 C
(b) 100 C
(c) Somewhere between 0 C and 100 C
I think it's 100C because T=T2-T1 = 100 - 0 = 100 C
 
nuky999 said:
I think it's 100C because T=T2-T1 = 100 - 0 = 100 C
No. Try again.
 
Chestermiller said:
No. Try again.
Then it's somewhere between 0 and 100 but I am not sure how much.
 
nuky999 said:
Then it's somewhere between 0 and 100 but I am not sure how much.
No. Try again.
 
Chestermiller said:
No. Try again.
Ah is it 0 ? I don't understand how.
 
  • #10
nuky999 said:
Ah is it 0 ? I don't understand how.
What temperature does ice melt at? What words in the problem statement tells you that the final temperature of the system is at this same temperature?
 
  • #11
Chestermiller said:
What temperature does ice melt at? What words in the problem statement tells you that the final temperature of the system is at this same temperature?
Ahh I see. The ice melts at 0C and the last sentence tells me the final temperature of the system.
 
  • #12
nuky999 said:
Ahh I see. The ice melts at 0C and the last sentence tells me the final temperature of the system.
Correct. So, do you know what to do next?
 
  • #13
Chestermiller said:
Correct. So, do you know what to do next?
I am not sure what's the meaning behind these constants and when to use each of them. I am sorry for my ignorance but I didn't study this in school so I have to solve it on my own
 
  • #14
nuky999 said:
I am not sure what's the meaning behind these constants and when to use each of them. I am sorry for my ignorance but I didn't study this in school so I have to solve it on my own
Consider what happens when a tiny amount of vapor enters the system. Say for instance, 1 microgram.

What things happen to the vapor? What happens to the ice?

Once we know what is happening qualitatively we can start asking questions like "how much ice" and "how much heat" and start writing down some equations.
 
  • #15
nuky999 said:
I am not sure what's the meaning behind these constants and when to use each of them. I am sorry for my ignorance but I didn't study this in school so I have to solve it on my own
It is really asking too much of us here to provide a tutorial on basic thermodynamics. You need to get yourself an elementary textbook and educate yourself a little first.
 
Back
Top