Calculating Composition & Temp of Mixture After Adding Steam & Ice

AI Thread Summary
The discussion revolves around calculating the final temperature and composition of a mixture formed by adding 1 kg of steam at 100 degrees Celsius to 1 kg of ice at 0 degrees Celsius. Key concepts include the heat of fusion (79.7 kcal/kg) for melting ice and the heat of vaporization (539 kcal/kg) for condensing steam. Participants emphasize the need to apply the equation q=mc(tfinal-tinitial) to determine the energy exchanges involved. The conversation highlights the importance of understanding where the energy for melting the ice comes from, specifically from the steam condensing into water. This problem requires careful consideration of heat transfer principles to arrive at the correct solution.
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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