Solving the Melting Ice Problem

[nuky999]

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 !

 

[Chestermiller]

This is not the exact statement of the problem, right? Please provide the exact verbatim statement.

 

[nuky999]

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

 

[Chestermiller]

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

 

[nuky999]

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

 

[Chestermiller]

I think it's 100C because T=T2-T1 = 100 - 0 = 100 C

No. Try again.

 

[nuky999]

No. Try again.

Then it's somewhere between 0 and 100 but I am not sure how much.

 

[Chestermiller]

Then it's somewhere between 0 and 100 but I am not sure how much.

No. Try again.

 

[nuky999]

No. Try again.

Ah is it 0 ? I don't understand how.

 

[Chestermiller]

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?

 

[nuky999]

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.

 

[Chestermiller]

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?

 

[nuky999]

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

 

[jbriggs444]

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.

 

[Chestermiller]

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.