Finding the Exhaust Temperature of a Carnot Engine

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SUMMARY

The discussion centers on calculating the exhaust temperature of a Carnot engine that operates at a power output of 360 kW and utilizes 720 kcal of heat per second from a heat source at 650°C. The relevant formula used is W = Qh * [1 - Tc/Th], where W is work output, Qh is heat input, Tc is the exhaust temperature, and Th is the heat source temperature. A participant noted an error in the conversion of 720 kcal/s to kW, which is crucial for accurate calculations.

PREREQUISITES
  • Understanding of Carnot engine principles
  • Knowledge of thermodynamic equations
  • Ability to convert units between kcal and kW
  • Familiarity with temperature scales, particularly Celsius
NEXT STEPS
  • Learn how to convert kcal/s to kW accurately
  • Study the Carnot efficiency formula in detail
  • Explore the implications of exhaust temperature on engine performance
  • Investigate real-world applications of Carnot engines in thermodynamics
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Students studying thermodynamics, engineers designing heat engines, and anyone interested in the efficiency of thermal systems.

minszue
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Homework Statement


A Carnot engine performs work at the rate of 360 kW while using 720 kcal of heat per second.If the temperature of the heat source is 650 C, at what temperature is the waste heat exhausted?


Homework Equations


because Th,Qh,and W are given so i going to use this formula
W=Qh*[1-Tc/Th)

The Attempt at a Solution


the answer is too large and that is incorrect.
 
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Did you convert 720 kcal/s to kW properly?
 

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