Question #1d2c0

1 Answer
MetaPhysik
Jan 21, 2018

T = 1152K

Explanation:

According to Stefan-Boltzman's law*

#P = sigma epsilon AT^4#

#rArr T^4 = P/(Asigma epsilon)#

Givens:
#epsilon# =1 for a blackbody

#P/A = 1 W"/"cm^2 = 10^4W/m^2#

#sigma = 5.67xx10^(-8) W/(m^2K^4)#

#T^4 =(10^4 W/m^s)/(5.67xx10^(-8) W/(m^2K^4) ) = 1.764xx10^12 K^4#

#T =root(4)(1.764xx10^12 K^4) = 1152K#

*See here for an outline of the derivation of Stefan-Boltzman's Law

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