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Homework Help: Heat transfer stefan-Boltzmann

  1. Aug 16, 2012 #1
    1. The problem statement, all variables and given/known data

    Determine the temperature of the filament of a 60watt lamp, if the filament has an area of 10mm^2 and an absorptivity of 0.35. Assume stefan-Boltzmann constant is 5.67*10^-8 W/(m.K^4).

    2. Relevant equations

    3. The attempt at a solution

    The equation I have attempted with is

    Q= εσAT^4

    60= 0.35*(5.67*10^-8)*(0.00001m^2)*(T^4)

    T^4= 60/(0.35* 5.67*10^-8* 0.00001)

    then 4th root of answer = 4169.894

    is this correct?
  2. jcsd
  3. Aug 16, 2012 #2
    Looks correct with the following comments:

    Your answer has too many significant figures.
    Your units for the Stefan-Boltzmann constant are wrong.
  4. Aug 16, 2012 #3
    Thats what I have been given on my question sheet, also they just give numerical answers and on the sheet it says the correct answer is 3800K that is why i put it up to check??
  5. Aug 17, 2012 #4
    I compute the same answer as you did.
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