Respuesta :
According to Stefan-Boltzmann Law, the thermal energy radiated by a radiator per second per unit area is proportional to the fourth power of the absolute temperature. It is given by;
P/A = σ T⁴ j/m²s
Where; P is the power, A is the area in square Meters, T is temperature in kelvin and σ is the Stefan-Boltzmann constant, ( 5.67 × 10^-8 watt/m²K⁴)
Therefore;
Power/square meter = (5.67 × 10^-8) × (3000)⁴
= 4.59 × 10^6 Watts/square meter
P/A = σ T⁴ j/m²s
Where; P is the power, A is the area in square Meters, T is temperature in kelvin and σ is the Stefan-Boltzmann constant, ( 5.67 × 10^-8 watt/m²K⁴)
Therefore;
Power/square meter = (5.67 × 10^-8) × (3000)⁴
= 4.59 × 10^6 Watts/square meter
Explanation:
we can calculate total emitted power per square from Stefan-Boltzmann law
P = e σ AT⁴
where
P= power of body's thermal radiation
A= surface area of the body
σ= Stefan-Boltzmann constant it's value is [tex]5.67 *10^-8 W/m^2k^4[/tex]
T= temperature of the body
e= emissivity of the substance here equal to 1
now by putting all the values in given formula
[tex]P/A= (1) (5.67*10^-8 W/m^2K^4)(3000)^4[/tex]
we get the answer
[tex]P/A= 4.5*10^ 6 W/m^2[/tex]