How Much Ice Melts in a Carnot Engine Cycle?

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SUMMARY

The discussion focuses on calculating the amount of ice melted in a Carnot engine cycle when 6600 J of heat is added to the system. The Carnot engine operates between a hot reservoir of boiling water and a cold reservoir of ice water. Participants suggest using the efficiency formula Qc/Qh = Tc/Th to determine the heat output and subsequently the mass of ice melted. The conversation emphasizes the importance of knowing the reservoir temperatures and the heat input for accurate calculations.

PREREQUISITES
  • Understanding of Carnot engine principles
  • Familiarity with thermodynamic efficiency equations
  • Knowledge of heat transfer concepts
  • Ability to perform calculations involving specific heat and phase changes
NEXT STEPS
  • Research the Carnot efficiency formula and its applications
  • Learn about heat transfer calculations in thermodynamics
  • Study phase change concepts, particularly the melting of ice
  • Explore practical examples of Carnot engines and their efficiencies
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Students of thermodynamics, engineers working with heat engines, and anyone interested in the principles of energy conversion and efficiency in mechanical systems.

jalpabhav
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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 6600 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? (See Table 12.3 for appropriate constants.)

I'm not sure how to being.
I was thinking about using:
Qc/Qh = Tc/Th but I'm not sure
 
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jalpabhav said:
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 6600 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? (See Table 12.3 for appropriate constants.)

I'm not sure how to being.
I was thinking about using:
Qc/Qh = Tc/Th but I'm not sure

If you know the reservoir temperatures and the heat input to a Carnot engine, you should be able to calculate the heat output. What equations do you have for the efficiency of a Carnot engine?
 

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