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The top of insulated cylindrical container is covered by a disc having emissivity 0.6 and thickness 1 cm. The temperature is maintained by circulating oil as shown in figure. If temperature of upper surface of disc is 127°C and temperature of surrounding is 27°C, then the radiation loss to the surroundings will be (Take sigma equals fraction numerator 17 over denominator 3 end fraction cross times 1 0 to the power of negative 8 end exponent W divided by m to the power of 2 end exponent K to the power of 4 end exponent right parenthesis

  1. 595 J/m2 ' sec    
  2. 595 cal/m2 ' sec    
  3. 991.0 J/m2 ' sec    
  4. 440 J/m2 ' sec    

The correct answer is: 595 cal/m2 ´ sec


    Rate of heat loss per unit area due to radiation i.e. emissive power e equals epsilon sigma left parenthesis T to the power of 4 end exponent minus T subscript 0 end subscript superscript 4 end superscript right parenthesis
    equals 0.6 cross times fraction numerator 17 over denominator 3 end fraction cross times 1 0 to the power of negative 8 end exponent cross times left square bracket left parenthesis 400 right parenthesis to the power of 4 end exponent minus left parenthesis 300 right parenthesis to the power of 4 end exponent right square bracket
    equals 3.4 cross times 1 0 to the power of negative 8 end exponent cross times left parenthesis 175 cross times 1 0 to the power of 8 end exponent right parenthesis equals 3.4 cross times 175 equals 595 J divided by m to the power of 2 end exponent cross times s e c

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