Question:

The efficiency of a Carnot engine operating between steam point and ice point is:

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Carnot's theorem provides a maximum efficiency that no engine operating between two temperatures can exceed.
Updated On: Mar 10, 2025
  • 100% 
     

  • 50% 
     

  • 77% 
     

  • 27% 
     

  • 11%

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The Correct Option is D

Solution and Explanation

The efficiency (\( \eta \)) of a Carnot engine is given by: \[ \eta = 1 - \frac{T_{{cold}}}{T_{{hot}}} \] where \( T_{{cold}} = 273 \, {K} \) (ice point) and \( T_{{hot}} = 373 \, {K} \) (steam point). Calculating: \[ \eta = 1 - \frac{273}{373} \approx 0.268 = 26.8\% \] This rounds to approximately 27%.

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