Answer to Question #293813 in Mechanical Engineering for Abrrr

Question #293813

If the intensity of radiation emitted by a surface covered with lamp black (α = 0.96) in the normal direction is 1.85 x 103

W/m2

Sr. Calculate the temperature of the surface if it follows Lambert’s Cosine Law


1
Expert's answer
2022-02-06T12:31:42-0500

Lambert’s cosine law states that the radiant intensity from the ideal diffusely reflecting surface and cosine of the angle θ between the direction of incident light and surface normal are directly proportional.

Heat radiated per second:


E=σAT4E= \sigma AT^4


1.85×103=5.7×108×1×T41.85\times10^3= 5.7\times10^-8 \times 1\times T^4


T=424.440KT =424.44 ^0K




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