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Question

The only possibility of heat flow in a thermos flask is through its cork which is 75 cm2 in area and 5 cm thick. Its thermal conductivity is 0.0075 cal/cmsecoC. The outside temperature is 40oC and latent heat of ice is 80 cal g–1. Time taken by 500 g of ice at 0oC in the flask to melt into water at 0oC is

  1. 2.47 hr    
  2. 4.27 hr    
  3. 7.42 hr    
  4. 4.72 hr    

The correct answer is: 2.47 hr


    m L equals fraction numerator K A capital delta theta t over denominator capital delta x end fraction Þ 500 cross times 80 equals fraction numerator 0.0075 cross times 75 cross times left parenthesis 40 minus 0 right parenthesis t over denominator 5 end fraction
    Þ t = 8.9 ´ 103 sec = 2.47 hr.

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