What is the Relationship Between Work and Temperature Change in Melting Ice?

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SUMMARY

The relationship between work and temperature change in melting ice is fundamentally linked to energy transfer. The total work or energy supplied to the ice must first overcome the potential energy barrier required to melt the ice before any energy contributes to raising the kinetic energy of the resulting water. The specific heat capacity (shc) of water is crucial in calculating the temperature increase post-melting, and it is recommended to use the value provided in educational materials for consistency.

PREREQUISITES
  • Understanding of thermodynamics principles, specifically energy transfer.
  • Familiarity with the concepts of potential energy and kinetic energy.
  • Knowledge of specific heat capacity (shc) and its application in calculations.
  • Ability to perform calculations using equations related to work and energy.
NEXT STEPS
  • Research the specific heat capacity of water and its variations in different contexts.
  • Study the equations governing potential and kinetic energy in thermodynamic processes.
  • Explore practical applications of energy transfer in phase changes, particularly in melting and boiling.
  • Learn about the guidelines for conducting thermodynamic experiments and calculations in educational settings.
USEFUL FOR

Students studying physics or chemistry, educators teaching thermodynamics, and anyone interested in the principles of energy transfer in phase changes.

ayans2495
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Homework Statement
An insulated container holding 4.55kg of ice at 0.00 degrees Celsius has 2.65 MJ of work done on it while a heater provides 14600 J of heat to the ice. If the latent heat of fusion of ice is 3.34 x 10^5 Jkg^-1, calculate the final temp of the water. Assume that the increase in internal energy is first due to an increase in the potential energy then an increase in the kinetic energy.
Relevant Equations
Q=mcΔT
Q=ml
ΔU = Q - W
1614399243618.png
 
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Hi,
1. Where is your work ?
2. What do the symbols stand for ?
3. What is your question ?

Did you read the guidelines ?
 
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Calculate how much work/energy is given to the ice altogther.

Calculate how much of this is needed to melt the ice. This is the "due to an increase in the potential energy" part of the question. You have the equation and the data you need.

Once the ice has melted, the rest of that work/energy goes into raising the kinetic energy, ie the temperature of the water. Again, you have the equation, although the shc for water isn't stated in what you've give us. You can easily find it online but I'd suggest using whatever value you've been given in class as the value is quoted with varying degrees of precision and it's probably best to use the one your teacher/lecturer/textbook expects.
 

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