Answer to Question #128621 in Molecular Physics | Thermodynamics for Aimee

Question

A black body of surface area 2.5* 10^-2m^2 and at a temperature 2000 degree Celsius is placed in a room where the temperature is 30 degree Celsius.Calculate the net rate of heat radiation in the body .

Answer 1

If an hot object is radiating energy to its cooler surroundings the net radiation heat loss rate can be expressed as:

q = ε σ (T_h⁴ - T_c⁴) A_h                     

where

T_h = hot body absolute temperature (K)

T_c = cold surroundings absolute temperature (K)

A_h = area of the hot object (m²)

ε = emissivity coefficient of the object (one - 1 - for a black body)

σ = 5.6703 10^-8 (W/m²K⁴) - The Stefan-Boltzmann Constant

Radiation heat transfer q = 37827 W