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How long does it take the sun to melt a block of ice?

  1. Jun 30, 2007 #1
    1. The problem statement, all variables and given/known data
    How long does it take the Sun to melt a block of ice at 0°C with an area of 1.10 m2 and thickness 1.07 cm? Assume that the Sun's rays make an angle of 31.1° with the normal to the area, and that the emissivity of ice is 0.0400.

    2. Relevant equations
    Q/t = IeAcos(theta)

    3. The attempt at a solution
    ok, i've done multiple attempts and am still not getting the correct answer!

    1) Q/t = IeAcos(Theta)
    Q/t = (1000 W/m^2)(0.04)(1.10cos(31.1)) = 37.6 J/s
    but from this number, I don't understand how to find time, should it be one??

    A*h *ρ *L /t = IeACOSθ
    t = time for ice to melt = IeCOSθ /h *ρ *L
    t = (1000 W/m^2)(0.04)(cos(31.1)/(0.0107 m)(917 kg/m^3)(3.33*10^5 J/kg)
    t= 1.05*10^-5 s

    but, that doesn't work either. I've been trying this problem all afternoon, please help!!
  2. jcsd
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