Another heat engine efficiency problem

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SUMMARY

A reversible heat engine with an efficiency of 34.2% operates by removing heat from a hot reservoir and rejecting it to a cold reservoir at 0°C. To determine how long it would take to freeze 1.10 kg of water at 0°C using this engine, one must calculate the thermal energy required for the phase change and apply the power output of 183 W. The key equations involve the latent heat of fusion for water and the relationship between power, energy, and time.

PREREQUISITES
  • Understanding of thermodynamics, specifically heat engines
  • Knowledge of the latent heat of fusion for water
  • Familiarity with the definition and calculation of power
  • Basic algebra for manipulating equations
NEXT STEPS
  • Calculate the latent heat of fusion for water (334,000 J/kg)
  • Learn how to apply the formula for power: Power = Energy / Time
  • Research the concept of reversible heat engines and their efficiencies
  • Explore the relationship between thermal energy removal and phase changes
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Students and professionals in physics, mechanical engineers, and anyone interested in thermodynamics and heat engine efficiency calculations.

kbyws37
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A reversible heat engine has an efficiency of 34.2%, removing heat from a hot reservoir and rejecting heat to a cold reservoir at 0°C. If the engine now operates in reverse, how long would it take to freeze 1.10 kg of water at 0°C, if it operates on a power of 183 W?



I am getting stuck on how I can incorporate the kg of water and the power.
I don't know which equation to use that will let me use those constants and allow me to find time.
 
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Well, to freeze water, you have to remove thermal energy from it. How do you find the amount of energy needed to be removed for a phase change of the water at 0°C to ice at 0°C?
It gives you the power the engine is operating at. What is the definition of power?
I'd think about those things to start.
 

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