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Conduction Calculation Help Please

  1. Nov 16, 2007 #1
    1. The problem statement, all variables and given/known data
    A large styrofoam cooler has a surface area of 1.0m^2 and a thickness of 2.5cm. If 5.0kg of ice at 0C is stored inside and the outside temperature is a constant 35C, how long does it take for all the ice to melt? (Consider conduction only)


    2. Relevant equations
    kA(delta)T/d = Q/(delta)T

    Q=mc(delta)T


    3. The attempt at a solution
    I tried (.042J/mxsxC)(1.0m^2)(35C)/.025m = 58.8j/s but I don't think that the change in temperature is correct.

    But after getting that answer solve for Q=(5.0kg)(2100J/kgxC)(35C) = 367500J again i dont think the change in temperature is correct

    Then divide 367000J/58.8j/s = 104.4 hours. which i know is incorrect

    Help would be appreciated thanks
     
  2. jcsd
  3. Nov 16, 2007 #2

    rl.bhat

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    Homework Helper

    The cube has 6 surfaces. So the area should be 6.0m^2.
     
  4. Nov 16, 2007 #3
    the total surface area is 1.0m^2. But I figured it out, I just needed to use the latent heat equation
     
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