Temperature combination, Homework (HELP)

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Discussion Overview

The discussion revolves around a homework problem involving the thermal interaction between ice cubes and warm water in an insulated container. Participants explore the principles of heat transfer, specifically focusing on the conservation of energy and the heat of fusion for ice melting.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Conceptual clarification

Main Points Raised

  • One participant suggests using the conservation of energy principle, stating that the heat gained by the ice will equal the heat lost by the water.
  • Another participant raises the importance of considering the heat of fusion for the ice melting, indicating that the energy required for the phase change must be included in the calculations.
  • A participant expresses uncertainty about the final temperature, noting that the ice may not reach the temperature of the water and seeks suggestions for a correct approach.
  • Another participant encourages writing equations to describe the energy balance, indicating that some concepts presented are on the right track.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the correct approach to solve the problem, with multiple viewpoints and uncertainties expressed regarding the calculations and assumptions involved.

Contextual Notes

Participants highlight the need to account for the heat of fusion and the specific heat capacities involved, but there are unresolved aspects regarding the final temperature and the exact formulation of the energy balance equations.

coffeecat91
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Homework Statement


Four ice cubes at exactly O degrees C having a total mass of 53.5g are combined with 115 g of water at 75 degrees C in an insulated container. If no heat is lost to the surroundings, what will be the final temperature of the mixture?

Homework Equations


q=m x Cs x ^T
q= n x ^H fus

Cs ice= 2.09 J/gC
for H20 ^H fus= 6.02 KJ/mol
18.02 g=1 mol for H20
 
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Use the idea of conservation of energy. The heat energy transferred to the ice blocks will be equal to the heat energy lost by the water.
 
What about the Heat of fusion for the ice melting?
I figured it had something to do with finding the energy to melt the ice (the phase change part) plus the energy as the ice goes up to 75 degrees, and then set the combination equal to the mass of the solution x the specific heat of water x the final temp (unknown) - initial temp 75.
I know that's wrong because the ice doesn't necessarily go to 75 degrees, in fact the temp should be lower. Any suggestions?
Thanks!
 
Try to write equations describing energy balance as danago proposed. Some of your concepts are OK, once you will write it all as an equation it should be obvious.
 

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