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Heat loss

  1. Aug 19, 2007 #1
    1. The problem statement, all variables and given/known data

    a person with a body temp of 37 degrees stands on snow with a temp of 0 degrees
    each of there shoes has a sole 1cm thick with an area of 300cm^2 and a 0.2 thermal conductivity
    what is the magnitude and direction of heat flow

    2. Relevant equations

    3. The attempt at a solution

    right well obviously the direction is into the ground, heat travels from hot to cold

    now im not sure if you need to calculate the volume of "sole" which the heat is being conducted through or not and that has me stumped as its the first hurdle at which im clueless!
  2. jcsd
  3. Aug 19, 2007 #2

    Doc Al

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    Staff: Mentor

    What equation describes heat conduction?
  4. Aug 19, 2007 #3
    dQ/dt = -kA dT/dx

    if a is the cross sectional area of the sole of the shoe do you then not need the thickness of it ? ;s and dT/dx would be the rate of change of temperature, however im unsure as to what the rate of change is as all your told is it changes from 37 to 0

    ive hit a brick wall with this one !
  5. Aug 19, 2007 #4

    Doc Al

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    Staff: Mentor

    Instead of dT/dx, write it as [itex]\Delta T/\Delta x[/itex]. That's temperature difference over thickness.

    For more, read Heat Conduction.
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