Calculate the energy radiated in one minute by a blackbody of surface area 200 cm at 127°C.
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Answered by
34
Given:
Surface area of the black body = 200 cm²
Temperature of the black body = 127°C
To find:
The energy radiated from the black body in one minute.
Solution:
From the Steffan Bolzmann law:
Power dissipated by black body P = AξσT⁴
Since it is a black body ξ = 1
Temperature T = 273+ 127 = 400 K
Also σ = 5.67*10⁻⁸ J/m²sK⁴
Therefore P = 200*10⁻⁴ * 1 * 5.67*10⁻⁸ * 400⁴ ≈ 29 J/s
We know that Energy = power×time
Energy = 29 J/s * 60 s = 1740 J
Therefore the energy radiated is one minute will be 1740 J.
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3
Answer:
_________________1751.04 J_______________
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