Can't the trick (finding final temperature)

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SUMMARY

The discussion centers on a thermodynamics problem involving an insulated Thermos containing 130 cm³ of hot coffee at 80.0 degrees Celsius and a 12.0 g ice cube. The objective is to determine the temperature drop of the coffee after the ice melts, applying the principles of heat transfer. Key equations include the specific heat of water at 4186 J/kg·K and the latent heat of fusion at 333 kJ/kg. The participant emphasizes the conservation of energy, stating that the heat lost by the coffee equals the heat gained by the ice.

PREREQUISITES
  • Understanding of thermodynamics principles, specifically heat transfer.
  • Knowledge of specific heat capacity and latent heat concepts.
  • Familiarity with unit conversions between grams, kilograms, and cubic centimeters.
  • Ability to set up and solve energy balance equations in isolated systems.
NEXT STEPS
  • Study the derivation and application of the heat transfer equation in thermodynamics.
  • Learn about the specific heat and latent heat calculations in various materials.
  • Explore the concept of energy conservation in isolated systems.
  • Practice similar thermodynamics problems involving phase changes and temperature calculations.
USEFUL FOR

Students studying thermodynamics, physics enthusiasts, and anyone seeking to understand heat transfer in isolated systems.

nabilsaleh
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Homework Statement



An insulated Thermos contains 130 cm3 of hot coffeeat 80.0 degrees C. You put in a 12.0 g ice cube at its meltingpoint to cool the coffee. By how many degrees has your coffeecooled once the ice has melted? Treat the coffee as though it werepure water and neglect energy exchanges with the environment.


Homework Equations



The specific heat of water is 4186 J/kg·K. The latent heat of fusion is 333 kJ/kg. The density of water is 1.00 g/cm3.



The Attempt at a Solution




I know the way to solve it but there is a little bug that's cuzing me to go off track and end up getting a wrong answer! I've tried solving this question at least 13 times now. I know that sum of all Heats in the system is equal to zero because it's kinda isolated system. And i know that the heat lost by coffee is equal to the heat gained by the ice!
 
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Show your work, please.

ehild
 

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