A radiator in a domestic heating system operates at a surface temperat

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SUMMARY

A radiator in a domestic heating system operates at a surface temperature of 55°C, and the rate at which it emits radiant heat per unit area can be determined using the Stefan-Boltzmann Law. This law states that radiation is proportional to the fourth power of the absolute temperature, requiring the temperature to be converted to Kelvin (273 + 55) before applying the fourth power. The Stefan-Boltzmann constant, valued at 5.6697 x 10^-8 W/m²K⁴, is crucial for these calculations. Misunderstandings regarding the application of the fourth power and the constant's order of magnitude were clarified in the discussion.

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manal950
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A radiator in a domestic heating system operates at a surface temperature of 55 C.
Determine the rate at which it emits radiant heat per unit area if it behaves as a black body ?


741333203.jpg


why we did not square the temperature
I mean ( 273 + 55)^4

please I need your help
 
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manal950 said:
A radiator in a domestic heating system operates at a surface temperature of 55 C.
Determine the rate at which it emits radiant heat per unit area if it behaves as a black body ?


741333203.jpg


why we did not square the temperature
I mean ( 273 + 55)^4

please I need your help

Because radiation is proportional to the fourth power of the absolute temperature, not the square.

See the Stefan-Boltzmann Law:

http://en.wikipedia.org/wiki/Stefan–Boltzmann_law
 
my question why in the answer we did not say ( ( 273 + 55)^4 ) not ( 273 + 55) without power 4
 
Maybe same reason they did not put the right order of magnitude for the Stefan-Boltzmann constant (10^(-8) in SI units).
It may be simply some typo(s). The result seem to be OK. So they did take the fourth power to get that number.
 
It must to make temperature with power 4 ?
 
Yes.
 
ok and this value 5.6697 X 10^-8 for what ?
 
Stefan_Boltzmann constant. Did you even read about Stefan-Boltzmann law of radiation?
 

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