How Does Latent Heat Affect Ice Melting in an Insulated System?

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SUMMARY

The discussion focuses on the thermal dynamics of an insulated system containing 250 g of ice at 0 °C and 600 g of water at 18 °C. The key conclusion is that the heat gained by the ice equals the heat lost by the water, leading to a calculation of the final equilibrium temperature and the remaining ice. The principles of latent heat and specific heat capacity are central to solving the problem, ensuring accurate thermal balance in the system.

PREREQUISITES
  • Understanding of latent heat and its role in phase changes
  • Knowledge of specific heat capacity for water and ice
  • Familiarity with the concept of thermal equilibrium
  • Basic algebra for solving heat transfer equations
NEXT STEPS
  • Study the calculations for latent heat of fusion for ice
  • Learn about specific heat capacity values for different substances
  • Explore thermal equilibrium concepts in closed systems
  • Practice solving similar problems involving heat transfer in insulated systems
USEFUL FOR

This discussion is beneficial for students studying thermodynamics, physics educators, and anyone interested in understanding heat transfer in insulated systems.

caesius
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Homework Statement


In an insulated vessel, 250 g of ice at 0 °C is added to 600 g of water at 18 °C. (a) What is the final temperature of the system? (b) How much ice remains when the system reaches equilibrium?


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The Attempt at a Solution


If I'm not mistaken: heat gained by ice = - heat lost by water

q
 
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caesius said:
If I'm not mistaken: heat gained by ice = - heat lost by water
You are indeed correct.
 

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