Mass of substance in a system (Heat transfer)

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SUMMARY

The discussion centers on a thermodynamics problem involving a 2.00 kg solid cube of nitrogen at -220.0°C mixed with a 1.00 kg mixture of ice and water at 0.00°C, resulting in a final temperature of -100.0°C. The key equations used are e=mct for calculating heat transfer and e=mLv/f for latent heat. A critical calculation involves determining that 476,400 Joules of energy is required to raise the nitrogen to -100°C. Additionally, the properties of nitrogen are clarified, noting its phase changes at specific temperatures.

PREREQUISITES
  • Understanding of thermodynamics principles, specifically heat transfer.
  • Familiarity with specific heat capacities and latent heat concepts.
  • Knowledge of phase changes of nitrogen (solid, liquid, gas).
  • Ability to apply the equations e=mct and e=mLv/f in problem-solving.
NEXT STEPS
  • Calculate specific heat capacities for nitrogen and water.
  • Explore phase change properties of nitrogen in detail.
  • Practice similar thermodynamics problems involving heat transfer and phase changes.
  • Review the concept of heat gained equals heat lost in thermodynamic systems.
USEFUL FOR

Students studying thermodynamics, physics educators, and anyone involved in heat transfer calculations in physical chemistry or engineering contexts.

Zoey Brown
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Homework Statement


A solid, 2.00 kg cube of nitrogen at -220.0oC is added to a 1.00 kg mixture of ice and

water at 0.00 oC. If the final temperature of the mixture is -100.0 oC, how much ice was

there in the original mixture?

Homework Equations


e=mct
e=mLv/f

The Attempt at a Solution


Don't know where to start
 
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Zoey Brown said:

Homework Statement


A solid, 2.00 kg cube of nitrogen at -220.0oC is added to a 1.00 kg mixture of ice and

water at 0.00 oC. If the final temperature of the mixture is -100.0 oC, how much ice was

there in the original mixture?

Homework Equations


e=mct
e=mLv/f

The Attempt at a Solution


Don't know where to start
heat gained = heat lost
 
[Mentor's Note: The quoted post was deleted, but I'm leaving the quote since it should help the OP.]

Fizzix_G said:
Hi Zoey,

First you have to start off by calculating how much energy it takes to make nitrogen go to -100 degrees Celsius. Try doing this and the number you should get is 476 400 Joules.
Did you remember that N2 is liquid below -196C and gas above that temperature?
Oops, worse than that:
solid below -210C, liquid -210 < T < -196, gas at T > -196.
Need 3 specific heats and 2 latent heats!
 
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