How Does Adding Ice Affect the Final Temperature of Hot Coffee?

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Homework Help Overview

The problem involves a thermos containing coffee at a high temperature and the effect of adding ice cubes at 0 °C on the final temperature of the coffee. The context is centered around heat transfer and phase change, specifically the melting of ice and its impact on the temperature of the liquid coffee.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the need to calculate the energy required to melt the ice and the subsequent temperature change in the coffee. Questions arise regarding the total mass of the water and the density of water, as well as the specific latent heat of water.

Discussion Status

Some participants have provided guidance on the necessary calculations and considerations, while others express uncertainty about specific values needed for the calculations. There is an acknowledgment of the complexity involved in determining the final temperature.

Contextual Notes

Participants note the importance of understanding the density of water and the specific latent heat in relation to the problem, indicating that these values are crucial for solving the question effectively.

salooom599
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Homework Statement


A thermos contains 160 cm^3 of coffee at 82.7 °C. To cool the coffee, you drop two 10.0-g ice cubes into the thermos. The ice cubes are initially at 0 °C and melt completely. What is the final temperature of the coffee in degrees Celsius? Treat the coffee as if it were water.

Homework Equations



Q=mL
mL=Cm(T final-T initial )

The Attempt at a Solution


i really don't know how to slove it and why there is 160 cm^3
 
Last edited:
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Hey Salooom, Welcome to PF.
Do you have a table giving the specific latent heat (etc.) of water?
It seems that firstly you need to find the change energy required to melt the ice cubes, and the change in temperature this would cause in the coffee.
Now I'm not particularly fresh in this field, but it seems to me that you need to know the total mass of the water, do you have a value for the density of water?

Then you have some amount of water at 0*C, and some amount at a higher temperature (The original temp - the amount of heat needed to melt the cubes), and you simply work out at how much energy needs to be traded from the hot water to the cold waterfor their temperatures to be the same.
 
ok i got it :D
thankss..
 
salooom599 said:
ok i got it :D
thankss..

No problem. Glad I could help (for once!) :wink:
 

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