Calculating Final Temperature and State When Mixing Ice and Water

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SUMMARY

The discussion focuses on calculating the final temperature and state of a system consisting of 200g of ice at -5°C mixed with 20g of water at 15°C. The key equations involved are Q=mcΔT for heat transfer and Q=mLf for phase change. The conclusion is that the final state will be a 220g block of ice at a temperature between -5°C and 0°C, as the mass of the water is insufficient to fully melt the ice. The participant expresses confusion regarding the heat exchange and the implications of Qgained not equaling Qlost.

PREREQUISITES
  • Understanding of thermodynamics principles, specifically heat transfer.
  • Familiarity with the specific heat capacity formula Q=mcΔT.
  • Knowledge of phase change concepts, particularly latent heat (Lf).
  • Basic algebra skills for solving equations.
NEXT STEPS
  • Study the principles of heat transfer in thermodynamics.
  • Learn about latent heat and its role in phase changes.
  • Practice solving problems involving mixed states of matter using Q=mcΔT and Q=mLf.
  • Explore the concept of thermal equilibrium in mixed systems.
USEFUL FOR

Students studying thermodynamics, educators teaching heat transfer concepts, and anyone interested in understanding phase changes in physical chemistry.

DBW3
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Homework Statement



If you mixed 200g if ice that is at -5°C with 20g of water that is at 15°C, what will be the temperature and condition of the final state once equilibrium is achieved?


Homework Equations


Q=mcΔT, Q=mLf


The Attempt at a Solution


I know that the amount of ice is to great to change with such little water, so I know the final condition will be a 220g block of ice at some temperature between -5°C and 0°C. Since the mass of the water is added to the mass of the ice does this imply that Qgained≠Qlost?

That's what I'm having trouble on, deriving the equation to solve for temperature if they are not equal.
 
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Go ahead with your equations and whatever you know.i shall help you along.
 
Hi DBW, have you considered the phase change involved? :smile:
 

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