Calculate the temperature of a mixture

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To calculate the final temperature of a mixture of 0.3 kg of ice at 0°C and 0.3 kg of water at 75°C, one must first determine if the ice melts completely. The specific heat capacity of water is 4200 J/kg/°C, and the latent heat of fusion for ice is 334,000 J/kg. If the calculations yield a negative result, it indicates that not all the ice has melted, prompting a reevaluation of the final temperature and the mass of ice remaining. The process involves balancing the heat lost by the warm water with the heat gained by the ice. Understanding these principles is crucial for accurately solving the problem.
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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