Physics-
General
Easy

Question

The heat engines A and B have their sources at 327°C and 227°C and sinks at 127°C and 27°C The ratio of their efficiency is....

  1. 6 divided by 5    
  2. 5 divided by 6    
  3. 2 divided by 5    
  4. 5 divided by 2    

The correct answer is: 5 divided by 6


    fraction numerator eta A over denominator eta B end fraction equals fraction numerator T subscript 1 end subscript minus T subscript 2 end subscript over denominator T subscript 1 end subscript end fraction cross times fraction numerator T subscript 1 end subscript over denominator T subscript 1 end subscript superscript 1 end superscript minus T subscript 2 end subscript superscript 1 end superscript end fraction
    equals fraction numerator open parentheses 600 minus 400 close parentheses minus open parentheses 273 minus 23 close parentheses over denominator 60 end fraction cross times fraction numerator 50 over denominator 500 minus 30 end fraction
    equals fraction numerator 200 over denominator 6 end fraction cross times fraction numerator 5 over denominator 200 end fraction equals fraction numerator 5 over denominator 6 end fraction

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