Assume a flat sheet of iron (10 cm x 10cm x 0.1 cm) at 300K. a....
Assume a flat sheet of iron (10 cm x 10cm x 0.1 cm) at 300K.
a. How many joules of energy are lost initially by black body radiation?
b. After 20 min, what is the temperature of the metal plate?
Homework Answers
using Stefan's law,
The total power emitted by a black body per unit araa =
T4
= 5.67E-8
WM-2K-4 , stefan's const.
T absolute temperature of the body
Total area of the given sheet = 2*(10E-2)2 + 40R-2* 1.0E-3 = 204E-4 M2
Total power emitted by the sheet = 5.67E-8 * 204E-4 * 3004
= 9.37W
The sheet will loose 9.37 J per s
2) . The black body not only radiates energy but also receives energy from the surroundings.
The fall in temperature of the body depends on its surroundings.
The surrounding temperature of the sheet is not given so we can determine its temperature after 20 min.
If the temp. of the surrounding is 300K , temperature of the sheet remains same.
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