Calculate the temperature of a mixture

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SUMMARY

The discussion focuses on calculating the final temperature of a mixture consisting of 0.3 kg of ice at 0°C and 0.3 kg of water at 75°C. Participants emphasize the importance of using the specific heat capacity of water (4200 J/kg/°C) and the specific latent heat of fusion of ice (334,000 J/kg) to determine whether all the ice melts. The confusion arises when attempts yield negative temperatures, indicating that not all ice has melted, which is a critical aspect of the problem-solving process.

PREREQUISITES
  • Understanding of specific heat capacity and its application in thermal calculations.
  • Knowledge of latent heat of fusion and its role in phase changes.
  • Basic algebra skills for solving equations related to thermal energy.
  • Familiarity with the concept of thermal equilibrium in mixtures.
NEXT STEPS
  • Study the principles of thermal equilibrium in mixtures.
  • Learn how to apply the conservation of energy in thermal systems.
  • Explore detailed examples of phase changes involving ice and water.
  • Practice problems involving specific heat and latent heat calculations.
USEFUL FOR

Students studying physics or chemistry, educators teaching thermal dynamics, and anyone interested in understanding heat transfer and phase changes in mixtures.

tyneoh
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Homework Statement


Calculate the temperature of a mixture of 0.3kg ice at 0°C and 0.3kg water at 75°C.Find the mass of ice melted

Homework Equations



Specific heat capacity of water: 4200J/kg/°C
Specific latent heat of fusion of ice: 334 000 J/ kg

The Attempt at a Solution


Got a negative answer instead.
 
Last edited:
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tyneoh said:

Homework Statement


Calculate the temperature of a mixture of 0.3kg ice at 0°C and 0.3kg water at 75°C.Find the mass of ice melted


Homework Equations



Specific heat capacity of water: 4200J/kg/°C
Specific latent heat of fusion of ice: 334 000 J/ kg

The Attempt at a Solution


Got a negative answer instead.
First of all, you have to determine whether the ice melts. If it does not all melt, what is the final temperature?

AM
 


My attempt resulted in a negative answer, which confuses me as it is quite impossible.Then the second question asked for the mass of ice remaining which made me realize that not all of the ice has melted
 

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