Carnot engine boiling water problem

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SUMMARY

The discussion focuses on calculating the mass of ice melted by a Carnot engine when 5650 J of heat is transferred to the cold reservoir. The user initially calculated the efficiency of the engine using the formula 1 - (Ql/Qh), resulting in an efficiency of 0.268. The user then computed the work done as 1514.75 J and attempted to find the mass of ice melted using the latent heat of fusion (Lf) of water, which is 33.5 x 10^4 J/kg. However, the final answer of 0.0045 kg was identified as incorrect, indicating a need for further assistance in the calculations.

PREREQUISITES
  • Understanding of the Carnot cycle and thermodynamic principles
  • Knowledge of latent heat of fusion (Lf) and its application
  • Familiarity with heat transfer concepts in thermodynamics
  • Basic algebra for manipulating equations and units
NEXT STEPS
  • Review the Carnot engine efficiency calculations and their implications
  • Study the concept of latent heat and its role in phase changes
  • Explore the relationship between heat transfer and work done in thermodynamic systems
  • Practice additional problems involving heat transfer and phase changes
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Students studying thermodynamics, physics enthusiasts, and anyone interested in understanding the principles of heat engines and phase changes in water.

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Homework Statement


A Carnot engine uses a hot reservoir consisting of a large amount of boiling water and a cold reservoir consisting of a large tub of ice and water. When 5650 J of heat is put into the engine and the engine produces work, how many kilograms of ice in the tub are melted due to the heat delivered to the cold reservoir?

Homework Equations



Melting point of water: 0C
Boiling point of water: 100C
Lf water: 33.5x10^4
Lv water: 22.6x10^5
1-(Ql/Qh)


The Attempt at a Solution



I found 1-Ql/Qh to be 1-(273/373) = 0.268 and then i multiplied that by 5650J and got 1514.75J to be the work done
Then I converted that using the Lf to get the kg so (1514.75J)/(33.5x10^4J/kg) = 0.0045kg
 
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This answer is wrong. Can someone help me?
 

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