Calculating Composition & Temp of Mixture After Adding Steam & Ice

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Homework Help Overview

The problem involves the thermal interaction between 1 kg of steam at 100 degrees Celsius and 1 kg of ice at 0 degrees Celsius, focusing on determining the composition and final temperature of the resulting mixture. The context includes specific heat capacities and heat of fusion and vaporization values for water.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the heat energy required to melt the ice and the heat released by the steam upon condensation. Questions are raised about the source of energy for the phase changes and the calculations involved in determining the final state of the mixture.

Discussion Status

The discussion is ongoing, with participants exploring the necessary calculations and energy transfers involved in the problem. Some guidance has been offered in the form of questions aimed at clarifying the steps needed to approach the solution.

Contextual Notes

Participants note the lack of prior instruction due to the professor's absence, which contributes to the original poster's uncertainty and need for assistance.

lpp208
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Homework Statement



One kg of steam at 100 degrees Celsius is added to 1 kg of ice at 0 degrees Celsius. What is the composition and temperature of the resulting mixture. The heat of fusion for water is 79.7 kcal/kg, the heat of vaporization is 539 kcal/kg, and specific heats of ice and water are .5 ans 1.0 kcal/kgdegreesC, respectively. Please explain and show all work. Thanks So much.

Homework Equations



q=mc(tfinal-tinitial)


The Attempt at a Solution

 
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welcome to pf!

hi lpp208! welcome to pf! :wink:

show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 
I am stuck on everything. My professor was sick the whole week last week and he basically gave us a take home assignment which we never really got to go over. I am so lost and so I really need help on all of it.
 
lpp208 said:

Homework Statement



One kg of steam at 100 degrees Celsius is added to 1 kg of ice at 0 degrees Celsius. What is the composition and temperature of the resulting mixture.
Welcome to PF. Let's look at the next two statements:
The heat of fusion for water is 79.7 kcal/kg, ...
Okay, so it takes 79.7 kcal of heat energy to completely melt 1 kg of ice to form liquid water.
...the heat of vaporization is 539 kcal/kg,
That means the 1 kg of steam will give off 539 kcal of heat energy, if all of it condenses into liquid water.
... and specific heats of ice and water are .5 ans 1.0 kcal/kgdegreesC, respectively.
This means that 1 kg of liquid water requires 1.0 kcal of heat energy to heat up by one degree C ... or 100 kcal to heat up 100 degrees C.

... Please explain and show all work. Thanks So much.

Homework Equations



q=mc(tfinal-tinitial)


The Attempt at a Solution

A couple of questions to (hopefully) get you started:

1. How much heat energy does it take to melt the 1.0 kg of ice at 0°C?
2. Where does that energy come from?
 

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