Heat problem, determine mass of ice cube?

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SUMMARY

The discussion centers on calculating the mass of an ice cube using heat transfer principles. The participant initially calculated the mass as 12.9 grams, while the correct mass is 11.9 grams. The key to resolving the discrepancy lies in understanding that during the phase change from solid to liquid, the temperature remains constant, necessitating the use of two separate equations for heat transfer: one for the ice and another for the water. The heat of fusion constant for solid water, 79.7 kcal/kg, is crucial for these calculations.

PREREQUISITES
  • Understanding of thermodynamics principles, specifically heat transfer.
  • Familiarity with the concept of phase changes in materials.
  • Knowledge of specific heat capacities for ice and water.
  • Ability to apply the heat of fusion constant for solid water (79.7 kcal/kg).
NEXT STEPS
  • Review the principles of heat transfer in thermodynamics.
  • Study the specific heat capacities of different materials, focusing on ice and water.
  • Learn how to apply the heat of fusion in phase change calculations.
  • Practice solving problems involving heat transfer during phase changes.
USEFUL FOR

Students and professionals in physics, chemistry, and engineering fields who are studying thermodynamics and heat transfer calculations.

gibson101
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My answer is 12.9 grams, and the correct answer is supposed to be 11.9 grams. I cannot figure out why? Note. the answer i got is 12.9, and not 11.06. I know for this situation, the heat absorbed by the ice equals the heat lost by the water and aluminum, and since there is a phase change from a solid to liquid then i need the heat of fusion constant for solid water, which in kcal/kg which is 79.7. Now I am thinking that this is where my mistake is, because temperature remains constant during a phase change. Therefore, I cannot put 16-(-8.7)? I have to write it out into two separate m*c*deltaT's?
 

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Yes, you need two separate m*c*deltaT-s for the ice, as c of ice is different from that of water it becomes after melting.

ehild
 

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